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\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5466644 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \ab\af0\afs26 \ltrch\fcs0 
\b\fs26\insrsid5466644\charrsid5466644 EFFECT OF DAMAGE ON CHLORIDE PENETRATION PROFILES IN CONCRETE STRUCTURES}{\rtlch\fcs1 \af0\afs26 \ltrch\fcs0 \fs26\lang1050\langfe1033\langfenp1033\insrsid5466644\charrsid5466644 
\par }\pard\plain \ltrpar\s27\qc \li0\ri0\sb120\sa120\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \rtlch\fcs1 \af37\afs22\alang1025 \ltrch\fcs0 \f37\fs22\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 
\ab\af0\afs26 \ltrch\fcs0 \b\f0\fs26\lang1033\langfe1025\langnp1033\insrsid2368291 
\par }\pard\plain \ltrpar\s33\qc \li0\ri0\sa120\sl360\slmult1\nowidctlpar\wrapdefault\faauto\outlinelevel0\adjustright\rin0\lin0\itap0\pararsid5466644 \rtlch\fcs1 \af0\afs24\alang1025 \ltrch\fcs0 \fs24\lang1033\langfe3082\cgrid\langnp1033\langfenp3082 {
\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\lang2057\langfe3082\langnp2057\insrsid5466644\charrsid5466644 O\'9ebolt}{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\lang2057\langfe3082\langnp2057\insrsid5466644 , }{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 
\fs22\lang2057\langfe3082\langnp2057\insrsid5466644\charrsid5466644 J.}{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\lang2057\langfe3082\langnp2057\insrsid5466644 , }{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 
\fs22\lang2057\langfe3082\langnp2057\insrsid5466644\charrsid5466644 Balabani\'e6}{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\lang2057\langfe3082\langnp2057\insrsid5466644 , G. and }{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 
\fs22\lang2057\langfe3082\langnp2057\insrsid5466644\charrsid5466644 Peri\'9aki\'e6}{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\lang2057\langfe3082\langnp2057\insrsid5466644 , G.}{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 
\fs22\lang2057\langfe3082\langnp2057\insrsid5466644\charrsid5466644 
\par }\pard\plain \ltrpar\s27\qc \li0\ri0\sb120\sa120\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \rtlch\fcs1 \af37\afs22\alang1025 \ltrch\fcs0 \f37\fs22\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 
\ltrch\fcs0 \f0\lang1033\langfe1025\langnp1033\insrsid1522252 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \f0\lang1033\langfe1025\langnp1033\insrsid1522252\charrsid7479723 
\par }\pard\plain \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5466644 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \ab\af0 
\ltrch\fcs0 \b\lang1033\langfe1025\langnp1033\insrsid2368291\charrsid7479723 Abstract}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid2368291\charrsid7479723 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid12745259 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 In the present paper }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 a current }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 status}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644  of development of a}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 
 3D numerical chemo-hygro-thermo-mechanical model for concrete is presented. In the model the interaction between the non-mechanical (distribution of temperature, humidity, oxygen and chloride) }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 and }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 mechanical properties of concrete (damage) is accounted for. The }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 strong and weak }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 
formulation of the model and its implementation into a 3D finite element code are discussed. The formulation is restricted }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 to}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 
 the processes up to the depas}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 ivation of reinforcement. The application of the model is illustrated on }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5466644 one }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 numerical example in which the transient 3D FE analysis of RC }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 slab}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5466644\charrsid11686220  is carried out in order to investigate the influence of damage of concrete on the depa}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 
sivation time of reinforcement. In the analysis the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 load free }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 and }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 previously }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid5466644\charrsid11686220 loaded RC }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 slabs}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220  are exposed to the aggressive influence }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259 of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 sea water}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 . Due to external load, the loaded beam }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 was}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid5466644\charrsid11686220  damaged}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644  before the exposure of sea water}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 . Consequently, its depa}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5466644 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 sivation time is shorter than the depa}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 
sivation time of companion beam which }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 was}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220  load}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644  free}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5466644\charrsid11686220 . The reason is due to the cracking of concrete, which significantly accelerate processes that are relevant for depa}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5466644\charrsid11686220 sivation of reinforcement. The numerical results are in good agreement with the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 observation from the engineering practice}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5466644\charrsid11686220 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5466644\charrsid11686220 
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8484466 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\lang1033\langfe1025\langnp1033\insrsid2368291\charrsid7479723 Key words: }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid8484466\charrsid11686220 Concrete, Damage, Depas}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8484466 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8484466\charrsid11686220 ivation, Cor}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8484466 r}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid8484466\charrsid11686220 osion}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8484466  of reinforcement}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8484466\charrsid11686220 
, Chemo-hygro-thermo-mechanical model, Microplane model, Transport processes, Finite element analysis.
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14578517 {\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid2368291\charrsid7479723 
\par }\pard \ltrpar\qj \li0\ri0\sb40\sa80\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9849161 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\lang1033\langfe1025\langnp1033\insrsid2368291\charrsid7479723 Authors' data}{
\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\lang1033\langfe1025\langnp1033\insrsid8484466 :}{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\lang2057\langfe1025\langnp2057\insrsid8484466\charrsid8484466  }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang2057\langfe1025\langnp2057\insrsid8484466\charrsid8484466 O\'9ebolt, J.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid2368291\charrsid8484466 , Ph.D., }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang2057\langfe1025\langnp2057\insrsid8484466\charrsid8484466 Institute of Construction Materials}{\rtlch\fcs1 \af0\afs24 \ltrch\fcs0 \fs24\lang2057\langfe1025\langnp2057\insrsid8484466\charrsid11686220 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid2368291\charrsid7479723  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid8484466 University of Stuttgart, }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang2057\langfe1025\langnp2057\insrsid8484466\charrsid8484466 Pfaffenwaldring 4, 70550 Stuttgart, Germany}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid2368291\charrsid7479723 , }{\field\fldedit{\*\fldinst {\rtlch\fcs1 \af0\afs24 
\ltrch\fcs0 \fs24\cf1\lang1033\langfe1025\langnp1033\insrsid8484466\charrsid14093646  HYPERLINK mailto:ozbolt@iwb.uni-stuttgart.de }{\rtlch\fcs1 \af0\afs24 \ltrch\fcs0 \fs24\cf1\lang2057\langfe1025\langnp2057\insrsid11489410\charrsid12671523 
{\*\datafield 
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6c00740040006900770062002e0075006e0069002d007300740075007400740067006100720074002e0064006500000000}}}{\fldrslt {\rtlch\fcs1 \af0 \ltrch\fcs0 \cs19\cf1\lang1033\langfe1025\langnp1033\insrsid8484466\charrsid14093646 ozbolt@iwb.uni-stuttgart.de}}}\sectd 
\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid7479723 ; }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang2057\langfe1025\langnp2057\insrsid8484466\charrsid8484466 Balabani\'e6, G}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid8484466 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid7479723\charrsid7479723 
, Ph.D., }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid8484466\charrsid14093646 Gra\'f0evinski Fakultet Rijeka, V. Cara Emina 5, 51000 Rijeka, Croatia, }{\field\fldedit{\*\fldinst {\rtlch\fcs1 \af0 \ltrch\fcs0 
\cf1\lang1033\langfe1025\langnp1033\insrsid8484466\charrsid12671523  HYPERLINK "mailto:gojko@gradri.hr" \\t "_blank" }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cf1\lang1033\langfe1025\langnp1033\insrsid14382242\charrsid14382242 {\*\datafield 
00d0c9ea79f9bace118c8200aa004ba90b0200000083000000070000005f0062006c0061006e006b000000e0c9ea79f9bace118c8200aa004ba90b460000006d00610069006c0074006f003a0067006f006a006b006f0040006700720061006400720069002e00680072000000795881f43b1d7f48af2c825dc48527630000
0000a5ab0000}}}{\fldrslt {\rtlch\fcs1 \af0 \ltrch\fcs0 \cs19\cf1\lang1033\langfe1025\langnp1033\insrsid8484466\charrsid12671523 gojko@gradri.hr}}}\sectd \sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {
\rtlch\fcs1 \af0 \ltrch\fcs0 \cf1\lang1033\langfe1025\langnp1033\insrsid8484466\charrsid12671523 ; }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid9849161\charrsid9849161 Peri\'9aki\'e6, G., }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid9849161\charrsid9849161 Ph.D., }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid9849161\charrsid9849161 Institute of Construction Materials,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid9849161\charrsid9849161  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid9849161\charrsid9849161 University of Stuttgart, Pfaffenwaldring 4, 70550 Stuttgart, Germany}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid530368 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid12068025  periskic@iwb.uni-stuttgart.de}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid530368  }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid9849161 
\par 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid1522252 
\par 
\par 
\par 
\par 
\par 
\par }\pard \ltrpar\qj \li0\ri0\sb40\sa80\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid15757878 {\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\lang2057\langfe1025\langnp2057\insrsid1522252\charrsid11556655 

\par }\pard \ltrpar\qj \li0\ri0\sb40\sa80\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12281794 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\lang1033\langfe1025\langnp1033\insrsid9849161 
\par }\pard \ltrpar\qj \li0\ri0\sb360\sa240\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12068025 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid12281794 1.\~}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 
\b\insrsid12281794\charrsid11686220 Introduction}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid12281794 
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14578517 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid14578517 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10225899 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid4803459 
Chloride-induced corrosion of steel bars in reinforced concrete is one of the major causes of deterioration of reinforced concrete (RC) structures. Therefore, durability of RC structures is directly influenced by corrosion of reinforcement. It is well kno
w
n that RC structures, which are exposed to aggressive environmental conditions, such as structures that are close to the sea or highway bridges and garages exposed to de-icing salts, very often exhibit damage due to corrosion (Tuutti, 1993; Cairns, 1998).
 
This damage is usually manifested in the form of cracking and spalling of concrete cover, which is caused by the expansion of corrosion products accumulated around the reinforcement. The reparation of corroded concrete structure is always related with rel
a
tively high direct and indirect costs. Therefore, to be able to predict durability properties of RC structure, it is useful to have a mathematical model, which is able to realistically model corrosion process and its consequences for the structural safety
.
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid15757878\charrsid4803459 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid4803459 
The corrosion of reinforcement steel is essentially caused by not sufficient concrete cover or as a consequence of its damage. Damage can be caused by mechanical action (too high tensile stresses), it can be a consequence of non-mechanical action (temper
ature, shrinkage, etc.) or it can be }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 due to }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid4803459 
corrosion induced damage. The corroded cross-section of reinforcement bars has a smaller cross-section area and their bearing capacity is reduced. Moreover, with advanced corrosion, ductility and bond properties can be significantly reduced.
\par 
\par To estimate reduction of the cross-section of reinforcement and to predict the increase of the volume of the corrosion product it is necessary to know the corrosion rate e.g. corrosion current density in the corrosion unit. T
he calculation of corrosion current density requires modelling of the following physical and electrochemical processes: (i) transport of capillary water, oxygen and chloride through the concrete cover; (ii) immobilization of chloride in the concrete; (iii
) transport of OH}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid5455285\charrsid4803459 -}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid4803459 
 ions through electrolyte in concrete pores and (iv) cathodic and anodic polarization. These processes can be described by non-linear partial differential equations (Ba\'9eant, 1979a). 
\par 
\par The importance of the existence of a three-dimensional 
(3D) numerical model, which is able to realistically simulate the corrosion and its interaction with mechanical properties of concrete, is obvious. In the model the results of corrosion, such as expansion of product of corrosion or the reduction of the cr
oss-section of reinforcement, should have an effect on the mechanical }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
properties of concrete. On the other hand, the mechanical properties, such as strength or fracture energy, should also influence the corrosion process. Having such numerical tool it becom
es possible to simulate corrosion of a new structure and of already existent, possibly corroded, structure. Moreover, by employing such }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 a}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
 model it }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 is }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 possible to estimate the bearing capacity of damaged structure and undertake optimal measures for its reparation.
\par 
\par For the model}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 l}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 ing of transport p}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 rocesses }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285\charrsid11686220 and their }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 interaction }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 with mechanical properties of concrete}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 
, currently exists}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220  two groups of models (Ba\'9eant 1979; O\'9ebolt at al., 2005): (i) physical, which model entire chemical and physical processes durin
g ageing of concrete and (ii) phenomenological, in which mechanical properties of concrete are not directly related to the chemical and physical processes in concrete. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 T}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285\charrsid11686220 he }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 models from the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 first group }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 are }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid5455285\charrsid11686220 extremely}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285  complicated (Ba\'9eant 1979; Mart\'edn-P\'e9}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 rez, 19
99), in the engineering practice are almost exclusively used phenomenological models. Principally, there are two groups of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 these }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
models: (i) coupled and (ii) uncoupled. In coupled models the chemo-hygro-thermo processes are coupled with mechanical processes, }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 and another way around. F}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285\charrsid11686220 or instance, cracking has an }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 effect }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 on chemo-hygro-thermal processes}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285  and thermal processes may influence mechanical properties of concrete such as strength and fracture energy.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220  In the uncoupled models}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
 chemo-hygro-thermo processes are treated independently of the mechanical properties of concrete. Presently, there is sufficient knowledge related to the chemical and physical processes, which lead to corrosion of reinforcement. This is well documented in
 the literature (Ba\'9eant 1979; Tuutti 1993; Balabani\'e6, 1995; Balabani\'e6 et al., 1996a; Balabani\'e6 et al., 1}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 996b, Cairns, 1998; Mart\'edn-P\'e9}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285\charrsid11686220 rez, 1999; Pregartner et al., 2004). }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 Furthermore}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
, the response of structures made of quasi-brittle materials, such as concre
te, subjected to mechanical or non-mechanical loading is characterized by the localization of damage in a relatively narrow and stress-free zone. In the last two decades significant progress in the model}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 l}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 ing of quasi-brittle materials has been reac}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 hed. H}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 ow
ever, due to the complexity of the problem, computational model}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 l}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 ing of damage processes is still a challenging task. }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid5455285 This is especially true for the modelling of the influence of damage on transport processes in concrete.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
\par 
\par Currently exist }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 a }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 very few complete 3D chemo-hygro-thermo mechanical models for concrete}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 .}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220  The main difficulty in the formulation of such a model is to quantify relevant parameters, which control processes before and after depassivation of }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285 reinforcement}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 . It is especially demanding to formu
late the influence of damage of concrete (cracking) on its transport properties and corrosion as well as to model the influence of corrosi}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 o}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
n on degradation of mechanical properties of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 concrete}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220  structures.
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12281794 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
\par In the present paper the 3D numerical chemo-hygro-thermo-mechanical model for concrete is presented. In the model the interaction between the non-mechanical properties (distribution of temperature, }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 moisture}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 , oxygen and chloride) with the mechanical properties}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
of concrete (damage) is accounted for. The formulation of the model (strong and weak form) and its implementation into a 3D finite element code are discussed. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 The }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285\charrsid11686220 discuss}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 ion and formulation is restricted }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 to the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
processes up to the depa}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 sivation of rein
forcement. The application of the model is illustrated on numerical example in which the transient 3D FE analysis of RC }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 slab}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 
 is carried out in order to investigate the influence of damage of concrete on the depas}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 ivation time of reinforcement.}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid5455285 
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10225899 {\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\insrsid12281794\charrsid11556655 
\par }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 2.}{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid5455285  }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 Mathemat
ical formulation of transport processes before steel depassivation}{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161 
\par }{\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\insrsid10225899\charrsid11556655 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10225899 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 Assuming that the }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285\charrsid11686220 hydration process }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 in concrete is completed, the m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 athematical model for description of transport processes in }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 space }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid5455285\charrsid13186621 x}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285  and time }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid5455285\charrsid13776870 t}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285  includes the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid11686220 following state variable}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5455285\charrsid11686220 : volume fraction of pore water in }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285\charrsid862163 concrete}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5455285  }{\pard\plain \ltrpar\qj \li0\ri0\sl360\slmult1
\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10225899 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025\insrsid3285588 {\object\objemb\objw660\objh300
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\ltrch\fcs0 \i\insrsid5465303\charrsid11686220 n}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5465303\charrsid11686220  = 6.4 is shape term.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5465303 
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\par }\pard \ltrpar\ql \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9723418 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 2.2}{\rtlch\fcs1 \ab\af0\afs22 
\ltrch\fcs0 \b\fs22\insrsid5455285 . }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 Transport of oxygen}{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161 
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5144465 {\rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \fs22\insrsid5465303\charrsid11556655 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10225899 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5465303\charrsid11686220 
Assuming that oxygen does not participate in any chemical reaction before depassivation of steel, transport of oxygen through concrete is considered as a convective diffusion problem (Bear and Bachmat, 1991):
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{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn pictureActive}{\sv 0}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}{\sp{\sn fUseShapeAnchor}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fPreferRelativeResize}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}
{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fFakeMaster}{\sv 0}}{\sp{\sn fCameFromImgDummy}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5465303\charrsid11686220 
 is the effective oxygen diffusion coefficient. The first term on the right side of (3) describes oxygen diffusion and the second term describes oxygen convection as }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 a }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid5465303\charrsid11686220 consequence of capillary suction and moisture diffusion. The effective oxygen diffusion coefficient is dependent on pore relative humidity }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid5465303\charrsid11686220 H}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5465303\charrsid11686220 , (Isgor and Razaqpur, 2006), as indicated in the following expression:}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5465303 
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5465303 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5465303 
\par }{\pard\plain \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5465303 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 
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{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLockAspectRatio}{\sv 1}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}{\sp{\sn fUseShapeAnchor}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
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are density of cement, aggregate and water, respectively. In order to take into account }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid5465303\charrsid5465303 D}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid5465303\charrsid5465303 o}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid5465303\charrsid5465303  as a function of water content rather than as a function of pore relative humidity BSB (Brunauer \endash  Skalny \endash  Bodor) model of adsorption isotherm that relates }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid5465303\charrsid5465303 H}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5465303\charrsid5465303  and }{\pard\plain \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid15611758 
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orption isotherm according BSB model is given by:}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5465303 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5465303 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854 
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\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4851419 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025\insrsid3285588\charrsid11686220 {\object\objemb
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 of concrete)               }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854\charrsid11686220 (7)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854 
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\i\sub\insrsid3559854\charrsid3559854 gel}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854\charrsid3559854 /m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid3559854\charrsid3559854 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854\charrsid3559854 
 of concrete). Parameters in (6): }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid3559854\charrsid3559854 C}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854\charrsid3559854 , }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid3559854\charrsid3559854 k}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid3559854\charrsid3559854  and }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid3559854\charrsid3559854 V}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid3559854\charrsid3559854 m}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid3559854\charrsid3559854  are calculated as follows (Mart\'edn \endash  P\'e9rez, 1999):}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3559854 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854 
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3559854 {\pard\plain \ltrpar\qr \li0\ri0\sl360\slmult1
\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3559854 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025\insrsid9338826\charrsid11686220 {\object\objemb
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9001000000000402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f5779d156644040000002d01010004000000f001020009000000320a0a01110303000000383535651c000000fb02c0fe0000000000009001000000020002001053796d626f6c0000c9140ab968e51200a8aaf377b1aaf3772030
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f0010200030000000000}{\result {\rtlch\fcs1 \af0 \ltrch\fcs0 \dn6\insrsid11489410\charrsid11686220 {\pict{\*\picprop\shplid1048{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLockAspectRatio}{\sv 1}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn pictureActive}{\sv 0}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}
{\sp{\sn fUseShapeAnchor}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}
{\sp{\sn fLine}{\sv 0}}{\sp{\sn fPreferRelativeResize}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fFakeMaster}{\sv 0}}{\sp{\sn fCameFromImgDummy}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw1341\pich847\picwgoal760\pichgoal480\wmetafile8\bliptag336745360\blipupi2303{\*\blipuid 14125390f25928d51dea18d9c619d5bd}
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0402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f5779d156644040000002d01010004000000f001020009000000320a0a0111030300
0000383535651c000000fb02c0fe0000000000009001000000020002001053796d626f6c0000c9140ab968e51200a8aaf377b1aaf3772030f5779d1566440400
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bc02000000ee0102022253797374656d00449d15664400000a0021008a01000000000100000084e71200040000002d01010004000000f0010200030000000000}}}}}\sectd \sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid3559854        }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9338826         }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854   }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854\charrsid15820199 T = temperature in (K)\tab }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid3559854 \tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854\charrsid11686220 (7a)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3559854 
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5639989 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419 
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3695996 {\pard\plain \ltrpar\qr \li0\ri0\sl360\slmult1
\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3695996 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025\insrsid5639989\charrsid11686220 {\object\objemb
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04000000f0010200030000000000}{\result {\rtlch\fcs1 \af0 \ltrch\fcs0 \dn22\insrsid11489410\charrsid11348761 {\pict{\*\picprop\shplid1049{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLockAspectRatio}{\sv 1}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}{\sp{\sn fUseShapeAnchor}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fPreferRelativeResize}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}
{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fFakeMaster}{\sv 0}}{\sp{\sn fCameFromImgDummy}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1729\pich1482\picwgoal980\pichgoal840\wmetafile8\bliptag-808453769\blipupi-1412{\*\blipuid cfcff977a7442454a68fe714514a2d10}
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\rtlch\fcs1 \af0 \ltrch\fcs0 \cf1\sub\insrsid5639989\charrsid15820199 e}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cf1\insrsid5639989\charrsid15820199  > 5 days and 0.3<w/c< 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cf1\insrsid5639989        }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\cf1\insrsid5639989\charrsid14837061 (7c)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cf1\insrsid5639989 
\par }\pard \ltrpar\ql \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5639989 {\rtlch\fcs1 \af0 \ltrch\fcs0 \cf1\insrsid5639989 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5639989 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5639989\charrsid11686220 Taking into account inverse function of }
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{\pict{\*\picprop\shplid1052{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLockAspectRatio}{\sv 1}}{\sp{\sn pictureGray}{\sv 0}}
{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn pictureActive}{\sv 0}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}{\sp{\sn fUseShapeAnchor}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5639989\charrsid11686220 
 and using (7), the effective oxygen diffusion coefficient can be formulated in terms of water content as}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5639989 :
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid15611758\charrsid11686220 
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\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5639989 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025\insrsid9338826\charrsid11686220 {\object\objemb
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000000ee0102022253797374656d0021a111662100000a0021008a01000000000100000084e71200040000002d01010004000000f0010000030000000000}{\result {\rtlch\fcs1 \af0 \ltrch\fcs0 \dn14\insrsid11489410\charrsid12527224 
{\pict{\*\picprop\shplid1053{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLockAspectRatio}{\sv 1}}{\sp{\sn pictureGray}{\sv 0}}
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{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fFakeMaster}{\sv 0}}{\sp{\sn fCameFromImgDummy}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5639989 \tab \tab \tab    }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5639989\charrsid11686220 (8)}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid5639989 
\par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5465303 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 
\par }\pard \ltrpar\ql \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8457530 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 2.3}{\rtlch\fcs1 \ab\af0\afs22 
\ltrch\fcs0 \b\fs22\insrsid5455285 . }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 Transport of chloride ions}{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid15611758 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid8457530 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid15611758 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220 
Transport of chloride ions before steel depassivation through a non-saturated concrete occurs as a result of convection, diffusion and physically and chemically binding by cement hydration product (Bear and Bachmat, 1991):}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid8457530 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8457530 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8457530 {\pard\plain \ltrpar\qr \li0\ri0\sl360\slmult1
\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8457530 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025\insrsid15820199\charrsid11686220 {\object\objemb
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220  are constants (Tang, 1996). The last term on the right side of (9a) des}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid8457530 cribes binding rate of chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220  by cement gel. Equation (9b) repre
sents mathematical model of chloride binding mechanism by hardened cement paste and shows that there exist a non-linear relation between concentration of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 bound and free chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid8457530\charrsid11686220  and also that there is a}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530  limit value for bound chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220 .
\par 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 The diffusivity of chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220 
 depends on many parameters such as temperature, porosity, pore relative humidity, degree of cement hydration and cement type. The results of experimental }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 investigations}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid8457530\charrsid11686220  show (Tang and Nillson, 1996a, 1996b) that chloride diffusivity is not dependent on }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220 degree of cement }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \cf1\insrsid8457530\charrsid15353701 hydration }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\cf1\insrsid8457530\charrsid15353701 t}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\cf1\sub\insrsid8457530\charrsid15353701 e}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \cf1\insrsid8457530\charrsid15353701 . However, this presumes that }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\cf1\insrsid8457530\charrsid15353701 t}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\cf1\sub\insrsid8457530\charrsid15353701 e}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \cf1\insrsid8457530\charrsid15353701  is approximately greater that 180 days. According }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 to these results, chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220 
 diffusivity is expressed as }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 a }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220 function of pore relative humidity }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid8457530\charrsid11686220 H}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220  and concrete temperature }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid8457530\charrsid11686220 T}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 :
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\insrsid8457530     }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid15820199 (m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid8457530\charrsid15820199 2}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid15820199 /s)}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid8457530 \tab \tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220 (10)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4851419 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid15611758 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid15611758 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220 where }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid4851419\charrsid13776870 D}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid4851419\charrsid13776870 c,ref}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid7159613 is}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid4851419\charrsid11686220  reference value }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 D}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid4851419\charrsid11686220 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4851419\charrsid11686220  evaluated at standard conditions (}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 T}{\rtlch\fcs1 \af309 \ltrch\fcs0 \f309\insrsid4851419\charrsid11686220  = 23\'baC, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid4851419\charrsid11686220 t}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid4851419\charrsid11686220 e}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220  = 28 days, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 
H}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220  = 1), }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 f}{\rtlch\fcs1 \af0 \ltrch\fcs0 \sub\insrsid4851419\charrsid11686220 1}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4851419\charrsid11686220 (}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 H}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220 ) and }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 f}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \sub\insrsid4851419\charrsid11686220 2}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220 (}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 T}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4851419\charrsid11686220 ) express dependence of }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 D}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid4851419\charrsid11686220 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4851419\charrsid11686220  on relative pore humidity and concrete temperature, respectively. The effect of relative humidity can be calculated by using (Saetta }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 et}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220  }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 al.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220 , 1993b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419 ):}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid15611758 
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320aa002aa03010000003d791c000000fb0260ff0000000000009001010000000402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577
200d661a040000002d01020004000000f001010008000000320ae903bf0a01000000637908000000320a24020b0b01000000777908000000320af00258020100
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2d01010004000000f001020008000000320a9903b9090100000048791c000000fb02c0fe0000000000009001010000a10402001054696d6573204e657720526f
6d616e00a8aaf377b1aaf3772030f577200d661a040000002d01020004000000f001010008000000320ad401600a01000000e8791c000000fb02c0fe00000000
00009001010000000402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577200d661a040000002d01010004000000f001020008000000
320ad401f6080100000048791c000000fb02c0fe0000000000009001010000a10402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577
200d661a040000002d01020004000000f001010008000000320aa002ad0101000000e8791c000000fb02c0fe0000000000009001010000000402001054696d65
73204e657720526f6d616e00a8aaf377b1aaf3772030f577200d661a040000002d01010004000000f001020008000000320aa00277000100000066790a000000
26060f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000ee0102022253797374656d001a200d661a00000a0021008a010000000002000000bcf31200040000002d01020004000000f0010100030000000000}}}}}\sectd 
\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 \tab \tab \tab          }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530\charrsid11686220 (12)}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid8457530 
\par }\pard \ltrpar\ql \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8457530 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8457530 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9401653 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220 where }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid4851419 H}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419 (}{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 \i\f3\insrsid4851419\charrsid16589490 \'71}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid4851419\charrsid16589490 w}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4851419 )}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220  express dependence of relative humidity on pore water content in concrete according equations (6) and (7), and }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid4851419\charrsid11686220 H}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid4851419\charrsid11686220 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220  = 0.75 is the humidity at which }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid4851419\charrsid11686220 D}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid4851419\charrsid11686220 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220  is equal half of its maximum value (Ba\'9eant and Najjar, 1971). The function }{
\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4851419\charrsid11686220 f}{\rtlch\fcs1 \af0 \ltrch\fcs0 \sub\insrsid4851419\charrsid11686220 2}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220 (}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid4851419\charrsid11686220 T}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220 )}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220  which account for the ef}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid4851419 fect of temperature on chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419\charrsid11686220  diffusion coefficient}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4851419 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4851419\charrsid11686220  reads (Tang and Nillson, 1996a):
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8457530 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7683229 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229       }{\pard\plain \ltrpar\qr \li0\ri0\sl360\slmult1
\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7683229 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025\insrsid15820199\charrsid11686220 {\object\objemb
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ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
fffffffffffffffffdffffff04000000feffffff05000000feffffff060000000700000008000000feffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffff52006f006f007400200045006e00740072007900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000016000500ffffffffffffffff0200000002ce020000000000c00000000000004600000000000000000000000080b0
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ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff010000020800000000000000000000000000000040a81d0253797374656d0000000000000000000000000000000000000000000000000000040000002d0107000100feff030a0000ffffffff02ce020000000000c0000000000000461700
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00000000c1033401205c2d00040000002d0100000300000000003d01205c2d00040000002d010000030000000000000a0296280002962900000000009001010000020702001053791c000000020057c2a20000000000000070691600a4ca150000000000030101030a0a0112836600030f01000b01028832000011000a02
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ea7908000000320a44044d0601000000eb7908000000320a6a014d0601000000e97908000000320a57032b0d01000000f77908000000320a57022b0d01000000f77908000000320a24042b0d01000000f87908000000320a8a012b0d01000000f67908000000320a5703220801000000e77908000000320a570222080100
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00002d01020004000000f001010008000000320a9c03160c01000000547908000000320a9c03ce0801000000547908000000320a9c03080701000000527908000000320ad401d10601000000557908000000320aa002e10101000000547908000000320aa00277000100000066791c000000fb0220ff0000000000009001
010000000402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577621366a7040000002d01010004000000f001020009000000320aec03790903000000726566651c000000fb02c0fe0000000000009001000000000402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577
621366a7040000002d01020004000000f001010008000000320ad401390c01000000316508000000320ad401830901000000316509000000320aa0027204030000006578706508000000320aa002bd0201000000297808000000320aa00282010100000028781c000000fb0220ff00000000000090010000000004020010
54696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577621366a7040000002d01010004000000f001020008000000320af002ea000100000032780a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000ee0102022253797374656d00a7621366a700000a002100
8a01000000000200000084e71200040000002d01020004000000f0010100030000000000}{\result {\rtlch\fcs1 \af0 \ltrch\fcs0 \dn32\insrsid11489410\charrsid2456708 {\pict{\*\picprop\shplid1062{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLockAspectRatio}{\sv 1}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn pictureActive}{\sv 0}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}
{\sp{\sn fUseShapeAnchor}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}
{\sp{\sn fLine}{\sv 0}}{\sp{\sn fPreferRelativeResize}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fFakeMaster}{\sv 0}}{\sp{\sn fCameFromImgDummy}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw4092\pich1305\picwgoal2320\pichgoal740\wmetafile8\bliptag-1520289293\blipupi93{\*\blipuid a56239f38600d84a10584bd05feccf8b}
0100090000034902000003001c00000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000000b02
00000000050000000c02a004800e1200000026060f001a00ffffffff000010000000c0ffffffbdffffff400e00005d0400000b00000026060f000c004d617468
547970650000000108000000fa0200001000000000000000040000002d0100000500000014025002d4060500000013025002f5070500000014025002c7080500
000013025002df0a05000000140250020f0c0500000013025002030d1c000000fb02c0fe0000000000009001000000020002001053796d626f6c0000ca130a7e
68e51200a8aaf377b1aaf3772030f577621366a7040000002d01010008000000320aca03ad0d01000000fa7908000000320a9a02ad0d01000000fa7908000000
320a4404ad0d01000000fb7908000000320a6a01ad0d01000000f97908000000320aca034d0601000000ea7908000000320a9a024d0601000000ea7908000000
320a44044d0601000000eb7908000000320a6a014d0601000000e97908000000320a57032b0d01000000f77908000000320a57022b0d01000000f77908000000
320a24042b0d01000000f87908000000320a8a012b0d01000000f67908000000320a5703220801000000e77908000000320a5702220801000000e77908000000
320a2404220801000000e87908000000320a8a01220801000000e67908000000320aa002220b010000002d7908000000320aa0027703010000003d791c000000
fb02c0fe0000000000009001010000000402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577621366a7040000002d01020004000000
f001010008000000320a9c03160c01000000547908000000320a9c03ce0801000000547908000000320a9c03080701000000527908000000320ad401d1060100
0000557908000000320aa002e10101000000547908000000320aa00277000100000066791c000000fb0220ff0000000000009001010000000402001054696d65
73204e657720526f6d616e00a8aaf377b1aaf3772030f577621366a7040000002d01010004000000f001020009000000320aec03790903000000726566651c00
0000fb02c0fe0000000000009001000000000402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577621366a7040000002d0102000400
0000f001010008000000320ad401390c01000000316508000000320ad401830901000000316509000000320aa0027204030000006578706508000000320aa002
bd0201000000297808000000320aa00282010100000028781c000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e00
a8aaf377b1aaf3772030f577621366a7040000002d01010004000000f001020008000000320af002ea000100000032780a00000026060f000a00ffffffff0100
000000001c000000fb021000070000000000bc02000000ee0102022253797374656d00a7621366a700000a0021008a01000000000200000084e71200040000002d01020004000000f0010100030000000000}}}}}\sectd 
\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 \tab                \tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2456708                }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid7683229\charrsid11686220 (13)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 
\par 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7683229 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220 where }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid7683229\charrsid11686220 U}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220  is th}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 e activation energy of chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220 
 diffusion process (44.6 kJ/mol for }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid7683229\charrsid11686220 w/c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220  = 0.5), }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid7683229\charrsid11686220 R}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220  is universal gas constant (8.31\'d710}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid7683229\charrsid11686220 -3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220  kJ/(K\u8729\'95
mol)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 )}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220  and }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid7683229\charrsid11686220 T}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\sub\insrsid7683229\charrsid11686220 ref}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220  = 296 K.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 
\par }\pard \ltrpar\qc \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9401653 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 
\par }\pard \ltrpar\ql \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7683229 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 2.4}{\rtlch\fcs1 \ab\af0\afs22 
\ltrch\fcs0 \b\fs22\insrsid5455285 . }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 Heat transport in concrete}{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9401653 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9401653 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7683229 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220 Based on the constitutive law }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid7683229 for }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220 heat flow and conservation of ene}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 rgy, the equation that describes }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid7683229\charrsid11686220 temperature distribution in continuum reads:}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid13776870  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 
\par 
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7683229 {\pard\plain \ltrpar\qr \li0\ri0\sl360\slmult1
\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7683229 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025\insrsid7683229 {\object\objemb\objw1960\objh560
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 \tab \tab \tab \tab (14)
\par 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7683229 {\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7683229\charrsid7683229 where }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\cgrid0\insrsid7683229\charrsid12745259 {\field{\*\fldinst SYMBOL 108 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7683229\charrsid7683229 \~=\~thermal conductivity (W/(m\u8729\'95K)), }{\rtlch\fcs1 \ai\af0 
\ltrch\fcs0 \i\cgrid0\insrsid7683229\charrsid12745259 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7683229\charrsid7683229 \~=\~heat capacity per unit mass of concrete (J/(K\u8729\'95kg)), }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\cgrid0\insrsid7683229\charrsid12745259 {\field{\*\fldinst SYMBOL 114 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7683229\charrsid7683229 \~=\~mass density of concrete (kg/m}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\super\cgrid0\insrsid7683229\charrsid7683229 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7683229\charrsid7683229 ) and }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\cgrid0\insrsid7683229\charrsid12745259 W}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\cgrid0\insrsid7683229\charrsid7683229 \~=\~internal source of heating (W/m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\cgrid0\insrsid7683229\charrsid7683229 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7683229\charrsid7683229 
). It is assumed that the heat capacity and thermal conductivity are constant concrete parameters.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9401653 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9401653 
\par }\pard \ltrpar\ql \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7683229 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 3}{\rtlch\fcs1 \ab\af0\afs22 
\ltrch\fcs0 \b\fs22\insrsid5455285 . }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 Finite element formulation of field equations}{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9401653 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid7683229 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5204168 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 
To solve the above system of partial differential equations using finite elements, the strong form of these equations must be rewritten in the weak form. The weak form}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220 
 the system of five partial differential equations which govern transport of capillary water and ox}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 ygen through concrete, chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220 
 ingress into th}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 e concrete, binding of chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220  by hardened ceme}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 n}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid7683229\charrsid11686220 t paste and heat transport in concrete is carried out }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 by }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220 employing the Galerkin weighted residual method as fol
}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229 l}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7683229\charrsid11686220 ows (Voigt notation):}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5204168 
\par 
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{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLockAspectRatio}{\sv 1}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn pictureActive}{\sv 0}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}
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{\sp{\sn fLine}{\sv 0}}{\sp{\sn fPreferRelativeResize}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fFakeMaster}{\sv 0}}{\sp{\sn fCameFromImgDummy}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw1023\pich529\picwgoal580\pichgoal300\wmetafile8\bliptag487360126\blipupi2304{\*\blipuid 1d0c867e88a530df76d8854936e82025}
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16651728\charrsid11686220  with their nodal values}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16651728 , }{\rtlch\fcs1 
\ai\af0 \ltrch\fcs0 \i\cgrid0\insrsid16651728 {\field{\*\fldinst SYMBOL 97 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0\afs18 \ltrch\fcs0 \i\fs18\sub\cgrid0\insrsid16651728\charrsid2905575 TR}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\cgrid0\insrsid16651728 \~=\~transfer coefficient and }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\cgrid0\insrsid16651728 T}{\rtlch\fcs1 \ai\af0\afs18 \ltrch\fcs0 \i\fs18\sub\cgrid0\insrsid16651728\charrsid2905575 M}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\cgrid0\insrsid16651728 \~=\~temperature of the media in which surface of concrete is exposed.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16651728\charrsid11686220 
\par }\pard\plain \ltrpar\s2\ql \li0\ri0\keepn\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\outlinelevel1\adjustright\rin0\lin0\itap0\pararsid5204168 \rtlch\fcs1 \ab\af37\afs22\alang1025 \ltrch\fcs0 
\b\f37\fs22\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \ab0\af0\afs20 \ltrch\fcs0 \b0\f0\fs20\insrsid16651728 
\par }\pard \ltrpar\s2\ql \li0\ri0\sl360\slmult1\keepn\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\outlinelevel1\adjustright\rin0\lin0\itap0\pararsid9849161 {\rtlch\fcs1 \af0 \ltrch\fcs0 
\f0\lang2057\langfe1025\langnp2057\insrsid9849161\charrsid9849161 4}{\rtlch\fcs1 \af0 \ltrch\fcs0 \f0\lang2057\langfe1025\langnp2057\insrsid5455285 . }{\rtlch\fcs1 \af0 \ltrch\fcs0 \f0\lang2057\langfe1025\langnp2057\insrsid9849161\charrsid9849161 
Chemo-hygro-thermo-mechanical coupling}{\rtlch\fcs1 \af0 \ltrch\fcs0 \f0\lang2057\langfe1025\langnp2057\insrsid9849161 
\par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5204168 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 
\ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid5204168\charrsid5204168 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16651728 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16651728\charrsid16651728 
In the mechanical part of the model the total strain tensor }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16651728\charrsid16651728 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid16651728\charrsid16651728  for stressed concrete is decomposed as:}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16651728 
\par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\tqr\tx9072\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5912728 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5912728 
                                                             }{\pard\plain \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\tqr\tx9072\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5912728 \rtlch\fcs1 \af0\afs20\alang1025 
\ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025\insrsid1190654 {\object\objemb\objw1939\objh279{\*\objclass Equation.DSMT4}{\*\oleclsid \'7b0002CE03-0000-0000-C000-000000000046\'7d}{\*\objdata 010500000200000018000000
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236                  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5912728    }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9182236                    }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5204168     }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236     (16)
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\tqr\tx9072\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9182236 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5204168 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 where }{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 
\b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\super\insrsid9182236\charrsid13568034 m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 \~=\~
mechanical strain tensor, }{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 \b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 \b\i\super\insrsid9182236\charrsid1126501 T}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220  =\~thermal strain tensor, }{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 \b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0 
\ltrch\fcs0 \i\super\insrsid9182236\charrsid13568034 w}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 \~=\~hygro strain tensor (swelling}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236  }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9182236\charrsid11686220 -}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 shrinking) and }{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 \b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst S
YMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\super\insrsid9182236\charrsid13568034 corr}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 \~=\~
strain tensor due to expansion of corrosion product. Note that }{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 \b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\super\insrsid9182236\charrsid13568034 cor}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid9182236\charrsid11686220 r}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 \~
 applies only on concrete finite elements that are in contact with reinforcement bars. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236 Moreover, this strain is activated after depassivation of steel. }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9182236\charrsid11686220 The mechanical strain tensor }{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 \b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\super\insrsid9182236\charrsid13568034 m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 , that is used in the 3D constitutive law for concrete (microplane model), is calculated as }{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 
\b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\super\insrsid9182236\charrsid13568034 m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7697410 \~=\~}{\rtlch\fcs1 
\ab\ai\af0 \ltrch\fcs0 \b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7089059  -}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 (}{
\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 \b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\super\insrsid9182236\charrsid13568034 t}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9182236\charrsid11686220 +}{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 \b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\super\insrsid9182236\charrsid13568034 w}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 +}{\rtlch\fcs1 \ab\ai\af0 \ltrch\fcs0 \b\i\insrsid9182236\charrsid13568034 {\field{\*\fldinst SYMBOL 101 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\super\insrsid9182236\charrsid13568034 corr}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 ). The mechanical strains are used to calculate the effective stress increments}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid15670707  }
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236                                                           (17}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9182236\charrsid11686220 )}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236 
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tangent material stiffness tensor obtained from the microplane model and}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2905575 \~}{\pard\plain \ltrpar\qj \li0\ri0\sl360\slmult1
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2905575 =\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 
increment of the mechanical strain. In general, the mechanical strain component can be decomposed into elastic, plastic
 and damage part. The sources of mechanical strains are external load, hygro and thermal strains induced stress and corrosion induced stresses. To account for finite strains the }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid9182236\charrsid11686220 co-rotational stress tensor together with logarithmic strain tensor (Belytschko et al. 2001) are used in the formulation of the microplane model. }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9182236\charrsid11686220 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236 To account for the influence of temperature on the macroscopic mechanical properties of concrete, t}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 he }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9182236 internal variable of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 the microplane model are modified such that the macroscopic response of the model fits temperature-dependent mechanical properties of concrete (O\'9e
bolt et al. 2005). Note, however, that this influence becomes important only at relatively high temperature}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236  and for usual temperatures it can be neglected}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9182236\charrsid11686220 . }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9182236 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236\charrsid11686220 The influence of humidity on mechanical properties of concrete is accounted for as:}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236 
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9182236 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9182236 
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\insrsid11348761      }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705   (18)
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\i\insrsid945056\charrsid89448 f}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid945056\charrsid89448 t}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056\charrsid11686220 , }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid945056\charrsid89448 f}{\rtlch\fcs1 \ai\af0 
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\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056\charrsid11686220  and }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid945056\charrsid89448 E}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056\charrsid11686220  are }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056 moisture}
{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056\charrsid11686220  dependent tensile strength, uniaxial compressive strengt}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056 h, fracture energy and initial Y}{\rtlch\fcs1 \af0 \ltrch\fcs0 
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\insrsid945056\charrsid11686220 , }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid945056\charrsid89448 G}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid945056\charrsid89448 F,0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056\charrsid11686220  and }{\rtlch\fcs1 
\ai\af0 \ltrch\fcs0 \i\insrsid945056\charrsid89448 E}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid945056\charrsid89448 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056\charrsid11686220  are the same properties at reference humidity and }{\rtlch\fcs1 
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\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 Thermal strain is stress-independent and it is experimentally obtained by measurements on a load-free specimen. It is defined as a function of thermal expansion factor }{\rtlch\fcs1 \ai\af3 
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\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid7929887\charrsid2390112 
\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10158705 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7929887 \tab \tab \tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 

\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10158705 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 Inelastic hy
gro-deformations of concrete (swelling and shrinkage) are accounted for through hygro expansion (shrinkage) factor }{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 \i\f3\insrsid10158705\charrsid11556655 \'61}{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 
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\sectd \sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 \tab \tab \tab     (20)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10158705 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1769547 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 in which }{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 \i\f3\insrsid10158705\charrsid5450363 \'71}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid10158705\charrsid5450363 w,0}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid10158705\charrsid11686220  is a the reference humidity and }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid10158705\charrsid5450363 C}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid10158705\charrsid5450363 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid10158705\charrsid11686220  is a material constant.
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 The inelastic deformation due to expansion of the corrosion product of reinforcement, measure}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 d}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid10158705\charrsid11686220  in radial }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 direction of the reinforcement c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 ross-section }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 are
a }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 of steel is defined as a function of the corrosion rate and a factor }{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 \i\f3\insrsid10158705\charrsid5450363 \'61}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\sub\insrsid10158705\charrsid5450363 corr}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220  that is the volume expansion factor of the corrosion product. At the cross-section level or reinforcement bar of radius }{\rtlch\fcs1 \ai\af0 
\ltrch\fcs0 \i\insrsid10158705 r}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 , the total deformation due to corrosion of reinforcement measured in radial direction is calculated as:
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\par }\pard \ltrpar\qr \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10158705 {\pard\plain \ltrpar\qr \li0\ri0\sl360\slmult1
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\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 \tab \tab (21)
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13899396 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid13899396 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13899396\charrsid11686220 where }{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 
\i\f3\insrsid13899396\charrsid5450363 \'44}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid13899396\charrsid5450363 x}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13899396\charrsid5450363 (}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid13899396\charrsid5450363 t}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13899396\charrsid5450363 )}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13899396\charrsid11686220  is the total corrosion rate.
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10158705 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1769547 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 D}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 
istribution of temperature, water, oxygen and chloride in concrete is dependent on }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 mechanical properties of concrete. }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10158705 D}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 
iffusivities and porosity of concrete are relevant parameters that control transport processes in concrete. They are strongly influenced by damage, i.e. for higher level of damage}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10158705 , }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 diffusivit}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 y}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220  and porosity of concrete are higher. To account for this, transport properties of concrete should be stress- (strain-) dependent. }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10158705 I}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 n the literature there }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 are}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220  not much data related to the diffusivity properties of cracked concrete. In theory, after crack opens (}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10158705 critical }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 
crack width of 0.1 to 0.2 mm) one should start to treat the crack surfaces as a free surfaces taking into account special boundary conditions on them. For more detail see for instance work of }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid10158705\charrsid11686220 Therrien and Sudicky }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 (1996). However, such approach is too complex and can }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10158705 not }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 be used for the analysis }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 in 
}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 engineering practice. Obviously, to solve the problem within the framework of continuum mechanics, the problem must be simplified.
\par 
\par Reviewing partial differential equations that }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 govern}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220  transport of heat}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 , water, oxygen and chloride in un-cracked concrete (see Eqs.\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 1-14}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 
) it can be seen that the distribution and }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 water content}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 are}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid10158705\charrsid11686220  relevant for the transportation of oxygen and chloride. Therefore}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220  it is }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid10158705 reasonable }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 to assume that only transport of water is explicitly influenced by damage. The influence of damage on distribution of temperature, oxygen and chloride will }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 then }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 implicitly }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 be }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 
taken into account since }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 their }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 transport takes place through pore water. 
\par 
\par Having on mind that }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 processes
 responsible for the corrosion of reinforcement in crack, before and after depassivation of steel, are governed by local phenomena, the above assumption is of course rather crude approximation}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705  of reality}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 . On the other hand, the problem has to be solved in the framework of continuum mechanics a}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 nd}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid10158705\charrsid11686220  therefore the governing mechanisms need to be smeared-out and treated as an average solution}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705  of the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 
problem. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705 I}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 n }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 the }{\rtlch\fcs1 
\af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 first trial it is assumed that only diffusivity coefficient of capillary water }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\lang1033\langfe1025\langnp1033\insrsid10158705\charrsid5340453 D}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\lang1033\langfe1025\sub\langnp1033\insrsid10158705\charrsid5340453 w}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705  }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 and porosity }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid10158705\charrsid11686220 p}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid10158705\charrsid11686220 c}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220  depend on damage }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 (crack width) }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 of concrete. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 In the present model the c}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 rack }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 width}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220  }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 is }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 calculated from the mechanical part of the model using microplane model }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 for concrete }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10158705\charrsid11686220 (O\'9ebolt et al. 2005)}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705  The influence of damage on diffusivity and porosity is in the present model taken as shown in }{\rtlch\fcs1 
\af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 Fig}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid7149197 ure}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10158705\charrsid11686220 \~1. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 
The shape of the curve for difusifity is based on the experimental results for permeability obtained by Wang et al. (1997). It should be noted that in the open crack transport of water is not governed by diffusion, it 
is rather governed by a mechanism similar to the capillary transport. Therefore, although the mathematical description of the process is formally the same as diffusion (Eq.\~ 1), the diffusivity coefficient }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\lang1033\langfe1025\langnp1033\insrsid10158705\charrsid5340453 D}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\lang1033\langfe1025\sub\langnp1033\insrsid10158705\charrsid5340453 w}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10158705 
 should be in cracked concrete interpreted in a different way. 
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\par \ltrrow}\trowd \irow0\irowband0\lastrow \ltrrow\ts11\trgaph70\trrh3055\trleft-70\trftsWidth3\trwWidth7725\trftsWidthB3\trftsWidthA3\trautofit1\trpaddl70\trpaddr70\trpaddfl3\trpaddfr3\tblrsid9599859\tblind0\tblindtype3 \clvertalt\clbrdrt\brdrtbl \clbrdrl
\brdrtbl \clbrdrb\brdrtbl \clbrdrr\brdrtbl \cltxlrtb\clftsWidth3\clwWidth3898\clshdrawnil \cellx3828\clvertalt\clbrdrt\brdrtbl \clbrdrl\brdrtbl \clbrdrb\brdrtbl \clbrdrr\brdrtbl \cltxlrtb\clftsWidth3\clwWidth3827\clshdrawnil \cellx7655\pard \ltrpar
\qj \li0\ri0\sl360\slmult1\widctlpar\intbl\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid16646338 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9599859                                 }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid11556655\charrsid11686220 a)
\par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\intbl\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid16646338 {\pard\plain \ltrpar\qc \li0\ri0\sl360\slmult1
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dd00010000003d0007000500000014021600e7001c000000fb02f5ff00000000000090010000000000000100417269616c000000000000000000000000000000
000000000000000000000000040000002d010b0007000000fc020000000000000000040000002d010e0004000000f0010d000500000009020000000009000000
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0000bc02000000ee0102022253797374656d0000000000000000000000000000000000000000000000000000040000002d010a00040000002d010100040000002d010400040000002d010a00030000000000}\par}}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11489410 
{\pict{\*\picprop\defshp\shplid1108{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLockRotation}{\sv 1}}{\sp{\sn fLockPosition}{\sv 1}}
{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fPseudoInline}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fLockPosition}{\sv 1}}{\sp{\sn fLockRotation}{\sv 1}}}\picscalex64\picscaley71\piccropl0\piccropr0\piccropt-2969\piccropb2969
\picw7144\pich5239\picwgoal4050\pichgoal2970\wmetafile8\bliptag-708795483\blipupi95{\*\blipuid d5c0a3a5ea04d30d8621819d87d1f346}
010009000003f801000002008401000000008401000026060f00fe02574d4643010000000000010010c20000000001000000dc02000000000000dc0200000100
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00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000122d093000000000040000000000
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0000010000000a92874063aa8740000000005a000000010000004c000000040000000000000000000000400400007103000050000000200000002d0000004600
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00000e0000800e000000140000000000000010000000140000000400000003010800050000000b0200000000050000000c028d00ad00040000002e0118001c00
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000002010100050000000902000000020d000000320a0e0000000100040000000000ae008e00200007001c000000fb020300010000000000bc02000000ee0102022253797374656d0000000000000000000000000000000000000000000000000000040000002d010100030000000000}}}}\sectd 
\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj \sectd \ltrsect\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\footerr \ltrpar \pard\plain \ltrpar
\s28\ql \li0\ri360\widctlpar\tqc\tx4153\tqr\tx8306\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin360\lin0\itap0 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid2256597 
\par }}{\*\pnseclvl1\pnucrm\pnstart1\pnindent720\pnhang {\pntxta .}}{\*\pnseclvl2\pnucltr\pnstart1\pnindent720\pnhang {\pntxta .}}{\*\pnseclvl3\pndec\pnstart1\pnindent720\pnhang {\pntxta .}}{\*\pnseclvl4\pnlcltr\pnstart1\pnindent720\pnhang {\pntxta )}}
{\*\pnseclvl5\pndec\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl6\pnlcltr\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl7\pnlcrm\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl8
\pnlcltr\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl9\pnlcrm\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}\ltrrow{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11556655\charrsid11686220 \cell }\pard\plain \ltrpar
\ql \li0\ri0\widctlpar\intbl\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11556655\charrsid11686220 
\trowd \irow0\irowband0\lastrow \ltrrow\ts11\trgaph70\trrh3055\trleft-70\trftsWidth3\trwWidth7725\trftsWidthB3\trftsWidthA3\trautofit1\trpaddl70\trpaddr70\trpaddfl3\trpaddfr3\tblrsid9599859\tblind0\tblindtype3 \clvertalt\clbrdrt\brdrtbl \clbrdrl\brdrtbl 
\clbrdrb\brdrtbl \clbrdrr\brdrtbl \cltxlrtb\clftsWidth3\clwWidth3898\clshdrawnil \cellx3828\clvertalt\clbrdrt\brdrtbl \clbrdrl\brdrtbl \clbrdrb\brdrtbl \clbrdrr\brdrtbl \cltxlrtb\clftsWidth3\clwWidth3827\clshdrawnil \cellx7655\row }\pard \ltrpar
\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7804592 {\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid7804592 
\par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7929887 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7804592\charrsid11686220 Fig}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7804592 ure
}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7804592\charrsid11686220  }{\field{\*\fldinst {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7804592\charrsid11686220  SEQ Fig. \\* ARABIC }}{\fldrslt {\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1024\langfe1024\noproof\insrsid14093646 1}}}\sectd \sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7804592 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid7804592\charrsid11686220  a) Diffusivity }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid7804592\charrsid2689245 D}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid7804592\charrsid2689245 w,cw}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\cgrid0\insrsid7804592\charrsid11686220  as a function of a }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592 critical }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592\charrsid11686220 crack width }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\lang1033\langfe1025\langnp1033\insrsid7804592\charrsid15349262 cw}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\lang1033\langfe1025\sub\langnp1033\insrsid7804592\charrsid15349262 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592\charrsid11686220  (1}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592\charrsid11686220 {\field{\*\fldinst SYMBOL 179 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af310 \ltrch\fcs0 \i\f310\cgrid0\insrsid7804592\charrsid2689245 \'e1}{\rtlch\fcs1 \ai\af0 
\ltrch\fcs0 \i\sub\cgrid0\insrsid7804592 w}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592\charrsid11686220 {\field{\*\fldinst SYMBOL 179 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592\charrsid11686220 
0) and}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592 
\par }\pard \ltrpar\ql \fi720\li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3695996 {\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid3695996           }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\cgrid0\insrsid7804592\charrsid11686220 b) porosity }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\cgrid0\insrsid7804592\charrsid2689245 p}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\cgrid0\insrsid7804592\charrsid2689245 c,cw}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\cgrid0\insrsid7804592\charrsid11686220  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592\charrsid11686220 as a function of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592 critical }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\cgrid0\insrsid7804592\charrsid11686220 crack width (1}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592\charrsid11686220 {\field{\*\fldinst SYMBOL 179 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\rtlch\fcs1 \ai\af310 \ltrch\fcs0 
\i\f310\cgrid0\insrsid7804592\charrsid2689245 \'e1}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\cgrid0\insrsid7804592 p}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592\charrsid11686220 {\field{\*\fldinst SYMBOL 179 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}
{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592\charrsid11686220 0)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid7804592 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid7358507 
\par }\pard \ltrpar\qj \li0\ri0\sb120\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9767205 {\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid12745259 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205\charrsid11686220 From Fig}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid1769547 ure}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid9767205\charrsid11686220 \~1a it can be seen that after crack }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205 width (}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\lang1033\langfe1025\langnp1033\insrsid9767205\charrsid15349262 cw}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205 ) }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205\charrsid11686220 
reaches a threshold value }{\rtlch\fcs1 \ai\af310 \ltrch\fcs0 \i\f310\cgrid0\insrsid9767205\charrsid3349703 \'e1}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\cgrid0\insrsid9767205\charrsid3349703 w}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\cgrid0\insrsid9767205 
\~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\cgrid0\insrsid9767205\charrsid3349703 c}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\lang1033\langfe1025\langnp1033\insrsid9767205\charrsid3349703 w}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\lang1033\langfe1025\sub\langnp1033\insrsid9767205\charrsid3349703 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205\charrsid11686220 
, diffusivity of concrete increases up to its maximal value that is reached at critical crack width. For further increase of the crack width (open crack), }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205 b}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205\charrsid11686220 ecause of numerical reasons}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid9767205\charrsid11686220  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205 diffusivity }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205\charrsid11686220 
in cracked finite element remains c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9767205 onstant. 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid9771979 
\par }\pard\plain \ltrpar\s1\qj \li0\ri0\keepn\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\outlinelevel0\adjustright\rin0\lin0\itap0\pararsid1769547 \rtlch\fcs1 \ab\af0\afs22\alang1025 \ltrch\fcs0 
\b\fs22\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \ab0\af0\afs20 \ltrch\fcs0 \b0\fs20\lang1033\langfe1025\langnp1033\insrsid9767205 
\par }\pard \ltrpar\s1\qj \li0\ri0\sl360\slmult1\keepn\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\outlinelevel0\adjustright\rin0\lin0\itap0\pararsid9767205 {\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang2057\langfe1025\langnp2057\insrsid9767205\charrsid10705171 5.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid10705171  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid9767205\charrsid10705171 \~Numerica
l implementation
\par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 
\ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid9767205\charrsid9767205 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\brdrb\brdrs\brdrw30\brsp20 \wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12745259 {\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205\charrsid11686220 
The numerical analysis is incremental. In each time step }{\rtlch\fcs1 \ai\af310 \ltrch\fcs0 \i\f310\cgrid0\insrsid9767205\charrsid9176763 \'c4t}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205\charrsid11686220  partial differential equations, which }
{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205 govern}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205\charrsid11686220  transfer of heat, moisture, oxygen and chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205  in concrete}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205\charrsid11686220  and equation of equilibrium (mechanical part of the model) are solved }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205 simultaneously. When solving (14) }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \cgrid0\insrsid9767205\charrsid11686220 it is assumed that damage is constant, i.e. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205 non-mechanical }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205\charrsid11686220 
properties of concrete are controlled by damage from the end of the previous time }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205 (loading) }{\rtlch\fcs1 \af0 \ltrch\fcs0 \cgrid0\insrsid9767205\charrsid11686220 step. }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9767205\charrsid11686220 The equilibrium equation in each time step is solved}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid607816  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205\charrsid11686220 iteratively 
by using Newton-Raphson iterative scheme. Similar as in the solution of the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205 non-mechanical }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205\charrsid11686220 part of the problem}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid9767205  (14)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205\charrsid11686220 , }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205\charrsid16285032 volume fraction of pore water}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205 , }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid9767205\charrsid11686220 temperature}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205\charrsid11686220  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205 
oxygen and amount of chloride are assumed }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205\charrsid11686220 to be constant during the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205 equilibrium }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205\charrsid11686220 
iteration process. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 
\par 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12216693 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12745259 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid12745259 Parameter}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 
\b\insrsid12745259\charrsid2769134 \~:
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12745259 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid6815929 Mod}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 
ulus of elasticity of concrete,\~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid15231829 E}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid12745259 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (MPa)}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259\charrsid6815929 \~:\tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab               25000
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid6815929 Modulus of elasticity of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 steel,\~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid15231829 E}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\sub\insrsid12745259 s}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \~(MPa)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid6815929 \~:\tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab   \tab 200000
\par Poisson\rquote s ratio,\~}{\pard\plain \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12745259 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 
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0100090000039d00000002001c00000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000000b0200000000050000000c02600120011200000026060f001a00ffffffff000010000000c0ffffff26000000e0000000860100000b00000026060f000c004d61
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000000ee0102022253797374656d0000210e660100000a0021008a0100000000ffffffffbcf31200040000002d01010004000000f0010000030000000000}{\result {\rtlch\fcs1 \af0 \ltrch\fcs0 \dn6\insrsid11489410\charrsid9129670 
{\pict{\*\picprop\shplid1109{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLockAspectRatio}{\sv 1}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}
{\sp{\sn fUseShapeAnchor}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}
{\sp{\sn fLine}{\sv 0}}{\sp{\sn fPreferRelativeResize}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fFakeMaster}{\sv 0}}{\sp{\sn fCameFromImgDummy}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw318\pich388\picwgoal180\pichgoal220\wmetafile8\bliptag2088842931\blipupi2302{\*\blipuid 7c8136b3e162f5678878012d443e897c}
0100090000039d00000002001c00000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000000b02
00000000050000000c02600120011200000026060f001a00ffffffff000010000000c0ffffff26000000e0000000860100000b00000026060f000c004d617468
54797065000030001c000000fb0280fe0000000000009001010000a10402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577210e6601
040000002d01000008000000320a0001340001000000ed790a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000ee0102022253797374656d0000210e660100000a0021008a0100000000ffffffffbcf31200040000002d01010004000000f0010000030000000000}}}}}
\sectd \sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid6815929 :\tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab 
              0.18
\par Tensile strength,\~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid15231829 f}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid12745259\charrsid15231829 t}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (MPa)}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259\charrsid6815929 \~:\tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab \tab 2.0
\par Uniaxial compressive strength, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid15231829 f}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid12745259 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (MPa)}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259\charrsid6815929 \~:}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab 25.0
\par Fracture energy, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid15231829 G}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid12745259\charrsid15231829 F}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (J/m}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\super\insrsid12745259\charrsid6815929 2}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 )}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid6815929 \~:}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab \tab 80.0}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid12745259\charrsid6815929 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 Thermal conductivity, }{\rtlch\fcs1 \ai\af310 \ltrch\fcs0 \i\f310\insrsid12745259\charrsid15231829 \'eb}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (W/mK)}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab \tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 2.1}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 
\par Heat capacity per unit mass, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (J/kgK)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 
\tab \tab \tab \tab 900}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 Mass density of concrete, }{\rtlch\fcs1 \ai\af310 \ltrch\fcs0 \i\f310\insrsid12745259\charrsid15231829 \'f1}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (kg/m}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\super\insrsid12745259\charrsid9648309 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 )}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab 2300
\par Limiting}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid11686220  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 value of capillary water diffusivity, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid4615079 D}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \sub\insrsid12745259 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid12745259\charrsid6815929 2}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259 /s)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 2.2}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259 E}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 -10
\par Water vo}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 lume in concrete at saturation,\~}{\rtlch\fcs1 \ai\af310 \ltrch\fcs0 \i\f310\insrsid12745259\charrsid8733929 \'e8}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid12745259\charrsid8733929 wd}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid12745259\charrsid6815929 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 /m}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid12745259\charrsid6815929 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 )}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab 0.1}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 
\par Initial concrete porosity}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 , }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid6162400 p}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid12745259\charrsid6162400 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab \tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 0.1}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 
\par Aggregate/Cement ratio, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid6162400 a}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 /}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid6162400 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab \tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 6.5
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 Water/}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 Cement ratio}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 , }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid6162400 w}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 /}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid6162400 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab \tab 
\tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 0.5
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 D}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 ensity of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 cement, }{\rtlch\fcs1 \ai\af310 \ltrch\fcs0 
\i\f310\insrsid12745259\charrsid15231829 \'f1}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid12745259 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 kg/m}{\rtlch\fcs1 \af0 \ltrch\fcs0 
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{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fFakeMaster}{\sv 0}}{\sp{\sn fCameFromImgDummy}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw388\pich492\picwgoal220\pichgoal279\wmetafile8\bliptag-1671296079\blipupi2309{\*\blipuid 9c620bb1569ff05483b2ed61c6fbce70}0100090000039d00000002001c00000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000000b02
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54797065000050001c000000fb02c0fe0000000000009001010000020402001053796d626f6c00005b140aa668e51200a8aaf377b1aaf3772030f57789136647
040000002d01000008000000320a200140000100000062790a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000ee0102022253797374656d00008913664700000a0021008a0100000000ffffffff84e71200040000002d01010004000000f0010000030000000000}}}}}
\sectd \sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid7804592\sftntj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab \tab \tab \tab 
\tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 0.38
\par Univ}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 ersal gas constant, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid12745259\charrsid8919545 R}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259  (kJ/molK)}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259\charrsid9706497 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 \tab \tab \tab \tab }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259\charrsid9706497 8.31}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 E}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259\charrsid9706497 -03
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid12745259\charrsid14093646 Chloride diffusion activation energy, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\lang2057\langfe1025\langnp2057\insrsid12745259\charrsid14093646 U}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \lang2057\langfe1025\langnp2057\insrsid12745259\charrsid14093646  (kJ/mol):\tab \tab \tab 44.6
\par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12745259 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12745259 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12745259 Table\~1\~:\~S}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid12745259\charrsid2769134 ummary of material parameters}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205\charrsid11686220 
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205\charrsid11686220 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9767205 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9767205\charrsid10705171 6.\~}{\rtlch\fcs1 \ab\af0\afs22 
\ltrch\fcs0 \b\fs22\insrsid10705171  }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9767205\charrsid10705171 Numerical example
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12216693 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205 In the numerical example, simply supported reinforced c
oncrete slab of infinite length is exposed to sea water at the bottom side (see Fig}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1769547 ure}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9767205 \~
2). The concrete cover assumed in the analysis is 30 mm. The aim of the study was to demonstrate the influence of concrete damage caused by loading on distribution of fr
ee chloride and on the depassivation time of reinforcement. Therefore, the slab is first loaded in four-point bending and subsequently exposed to see water from the bottom side. The geometry of the plate and the finite element discretization are shown in 
Figure\~3 (symmetric part). The analysis is performed using 3D eight-node solid finite elements assuming plane strain condition, i.e. only one row of finite elements was used. Due to the symmetry only half of the slab is modelled.}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid2256597 
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid607816 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10705171 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid10705171\charrsid9849161 6.1}{\rtlch\fcs1 \ab\af0\afs22 
\ltrch\fcs0 \b\fs22\insrsid10705171 . }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid10705171\charrsid9849161 Initial and boundary conditions
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid13320202 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 In the analysis capillary }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597\charrsid11686220 porosity of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 concrete was assumed to be }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 10% and }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 the }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 cement gel content of 400 kg/m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid2256597\charrsid11686220 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 . The bottom }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597\charrsid11686220 side of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 the slab was }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 permanently}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597  in }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid14243713 contact with sea water (see Figure}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 ).}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 
 Initial and boundary conditions for transport of capillary water are adopted as follows: }{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 \i\f3\insrsid2256597\charrsid4092616 \'71}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 w}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid2256597 (}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597 )\~=\~}{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 \i\f3\insrsid2256597\charrsid4092616 \'71}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 w}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597 i}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid2256597 \~=\~0.01, }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 for }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid11686220 t}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~=\~}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid2256597\charrsid11686220 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 ; }{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 \i\f3\insrsid2256597\charrsid4092616 \'71}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 w}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 (}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 )\~=\~0.1, }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 for }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid11686220 t }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 > 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 
; the coordinates }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597  }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597  }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  are coordinates of }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 nodes }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 on concrete }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 slab that are exposed to sea water; }{\rtlch\fcs1 \ai\af3 \ltrch\fcs0 
\i\f3\insrsid2256597\charrsid4092616 \'71}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 w}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 (}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \ai\af0 
\ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \ai\af0 
\ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \ai\af0 
\ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 t}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 )\~=\~0.01 }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 for }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid11686220 t}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597 \~}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 >\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 , where }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 
\ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 
\ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 
\ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  are coordinates }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 of the }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597\charrsid11686220 concrete }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 slab exposed to air. Initial and boundary conditions for transport of oxygen are taken as: }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid2034845 C}{
\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid10705561 o}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~(}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 )\~=\~5.0\~\'d710}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid2256597\charrsid2034845 -3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  kg/m}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \super\insrsid2256597\charrsid11686220 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  of pore solution}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597  at }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid2256597\charrsid11686220 t}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~=\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 ; }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid2256597\charrsid2034845 C}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid10705561 o}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~(}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 t}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid2256597 )\~=\~8.576\~\'d710}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid2256597\charrsid2034845 -3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  kg/m}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\super\insrsid2256597\charrsid11686220 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  of pore solution for }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid11686220 t}{
\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 >\~ 0, the coordinates }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  are coordinates of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 nodes}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  on all }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 surfaces }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 of concrete }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 slab}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 .}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597  For transport of chloride the initial and boundary conditions are: }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid2034845 C}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597 c}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid2256597 \~(}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597 )\~=\~0 }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 for }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid11686220 t}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597\charrsid11686220 =}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 ; }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid2256597\charrsid2034845 C}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597 cb}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~(}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 )\~=\~0, }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 for }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid2256597\charrsid11686220 t}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 =\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 ; }
{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid2034845 C}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~(}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{
\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{
\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{
\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid2256597\charrsid4092616 t}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 )\~=\~20 }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 {\*\bkmkstart OLE_LINK1}kg/m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid2256597\charrsid11686220 3}
{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  of pore solution}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 {\*\bkmkend OLE_LINK1},}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  for }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid2256597\charrsid11686220 t}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597  \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 >\~ }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 
, the coordinates }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 x}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 y}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid4092616 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid2256597 \~}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid2256597\charrsid4092616 z}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\sub\insrsid2256597\charrsid4092616 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  are coordinates of }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 nodes}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  on concrete }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 slab}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 
 surface exposed to sea}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 water.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597  Furthermore, }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 
\b\insrsid2256597\charrsid11686220 n}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~\u8729\'95}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid2256597\charrsid11686220 q}{\rtlch\fcs1 \af0 \ltrch\fcs0 \sub\insrsid2256597\charrsid11686220 c}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid2256597 \~=\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 0 on all }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 surfaces }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 of concrete }{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid2256597 slab exposed to air}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 ; }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 where }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid2256597\charrsid9911788 n}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid2256597\charrsid9911788 \~=}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid2256597 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220 outward normal and }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 
\b\insrsid2256597\charrsid3872959 q}{\rtlch\fcs1 \af0 \ltrch\fcs0 \sub\insrsid2256597\charrsid3872959 c}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597  is chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid11686220  flux.}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid2256597  The temperature of slab is assumed to be constant and equal to initial temperature of 20}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid2256597\charrsid9911788 0}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 
C. The mechanical and non-mechanical model parameters used in the analysis are summarised in Table\~1.
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10705171 {\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid10705171\charrsid9849161 6.2}{\rtlch\fcs1 \ab\af0\afs22 
\ltrch\fcs0 \b\fs22\insrsid10705171 .}{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid10705171\charrsid9849161 \~Results of the analysis
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid9243775 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid2256597 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 The crack development due to the 4-point bending is shown in Fig}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1769547 ure}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~
3. The red (dark) zones shows crack in form of maximal principal strains. The maximal crack width at the bottom layer of the slab is approximately 0.20 mm, assuming 
crack band width of 15 mm that corresponds to the size of relatively small finite elements at the bottom few layers of the slab. The distribution of free chloride after one year is plotted in Fig}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14243713 ure\~}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 4. The depassivation of reinforcement is assumed to start for the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid12984401 mass}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 
 concentration of free chloride}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid12984401  in pore water of 7 kg/m}{\rtlch\fcs1 \af0 \ltrch\fcs0 \super\insrsid2256597\charrsid12984401 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597\charrsid12984401 
. Based on these values the ana}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 lysis predicts depassivation time of reinforcement in the cracked zone after approximately 0.1 year. For the un-cracked part of the slab the depassivation t
ime is after even 10 years not reached. Obviously, for damaged part of the slab depassivation time of reinforcement is significantly shorter and it is related to the ma}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1769547 ximal crack width. From Figure}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~4 it can be seen that large penetration depths coinci}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1769547 de with the cracks (compare Figure\~3 and Figure}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 \~
4). The distribution of chloride over the depth of slab, for cracked and un-cracked concrete, is shown in Fig}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1769547 ure}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7149197  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2256597 
\~5. It can be seen that the penetration of chloride is much faster and deeper in cracked than in un-cracked concrete. 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9771979 
\par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid6363400 {\pard\plain \ltrpar\qc \li0\ri0\sl360\slmult1
\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid6363400 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1024\langfe1024\cgrid\noproof\langnp1050\langfenp1025\insrsid6363400 {\object\objemb
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\par Figure\~2: Cross-section geometry of investigated reinforced slab with concrete cover of 30 mm.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid6772108 
\par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7756065 {\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1024\langfe1024\noproof\langfenp1050\insrsid14382242 
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\lang1024\langfe1024\noproof\insrsid6772108 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7697410 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7756065 Figure\~3: Geometry of the beam (symmetric part), FE discret}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7697410 ization, loading and calculated 
\par }\pard \ltrpar\qj \fi720\li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7697410 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7697410  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7756065 
distribution of cracks (red zones \endash  max. principal strains) in the slab.
\par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid11602409 {\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1024\langfe1024\noproof\langfenp1050\insrsid14382242 
{\shp{\*\shpinst\shpleft2547\shptop120\shpright2937\shpbottom480\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz8\shplid1047{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 262144}}{\sp{\sn hspNext}{\sv 1047}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}{\sp{\sn fUseShapeAnchor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}{\shptxt \ltrpar \pard\plain \ltrpar
\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7756065 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1031\langfe1025\langnp1031\insrsid7756065 B}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1031\langfe1025\langnp1031\insrsid7756065\charrsid4654424 
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\ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1031\langfe1025\langnp1031\insrsid7756065 B}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1031\langfe1025\langnp1031\insrsid7756065\charrsid4654424 
\par }}\dpx2547\dpy120\dpxsize390\dpysize360\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinehollow}}}
{\shp{\*\shpinst\shpleft2475\shptop425\shpright2475\shpbottom2788\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz5\shplid1048{\sp{\sn shapeType}{\sv 32}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineDashing}{\sv 6}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn cxstyle}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fPseudoInline}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8197
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{\shp{\*\shpinst\shpleft717\shptop122\shpright1257\shpbottom512\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz7\shplid1049{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 327680}}{\sp{\sn hspNext}{\sv 1049}}{\sp{\sn fRecolorFillAsPicture}{\sv 0}}{\sp{\sn fUseShapeAnchor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}{\shptxt \ltrpar \pard\plain \ltrpar
\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7756065 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1031\langfe1025\langnp1031\insrsid7756065 A}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1031\langfe1025\langnp1031\insrsid7756065\charrsid4654424 
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8199\dptxbx\dptxlrtb{\dptxbxtext\ltrpar \pard\plain \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7756065 \rtlch\fcs1 \af0\afs20\alang1025 
\ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1031\langfe1025\langnp1031\insrsid7756065 A}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1031\langfe1025\langnp1031\insrsid7756065\charrsid4654424 
\par }}\dpx717\dpy122\dpxsize540\dpysize390\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat1\dplinehollow}}}
{\shp{\*\shpinst\shpleft720\shptop470\shpright720\shpbottom2833\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz6\shplid1050{\sp{\sn shapeType}{\sv 32}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lineWidth}{\sv 12700}}{\sp{\sn lineDashing}{\sv 6}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn cxstyle}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fPseudoInline}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8198
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\picscalex41\picscaley45\piccropl0\piccropr0\piccropt0\piccropb0\picw32623\pich11853\picwgoal18495\pichgoal6720\emfblip\bliptag65961306{\*\blipuid 03ee7d5aa504d808d7606a7563be61e2}
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fa0200000000000000000000040000002d01010004000000f00102001c000000fb021200080000000000bc02000000ee0102022253797374656d0000000000000000000000000000000000000000000000000000040000002d01020004000000f0010500030000000000}}}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1024\langfe1024\noproof\insrsid7756065 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7697410 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11602409 Figure\~4: Distribution of the free chloride (kg/m}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \super\insrsid11602409\charrsid12666042 3}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11602409  of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11602409\charrsid11686220 pore solution}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11602409 
) over the section of the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7697410 slab 
\par }\pard \ltrpar\qj \li709\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin709\itap0\pararsid7697410 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7697410   }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11602409 
after 1 year of exposure to sea water.
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\par 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4468248 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11602409 \sect }\sectd \ltrsect
\sbknone\linex0\footery709\endnhere\pgbrdropt32\sectlinegrid360\sectdefaultcl\sectrsid11602409\sftntj \pard\plain \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid11602409 
\rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11602409 Figure\~5: Distribution of the free chloride over the depth of the slab measured from the bottom}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7697410 
\par }\pard \ltrpar\ql \fi720\li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7697410 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7697410  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11602409 
 (wet) side: (a) un-cracked section (A-A) and (b) cracked section (B-B) of the slab.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7756065 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9849161 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1769547 
\par }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 7}{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid5455285 . }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid9849161\charrsid9849161 Conclusions
\par }\pard \ltrpar\qj \li0\ri0\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1769547 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid11804092 
\par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4468248 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248 In the present paper the current status of development of the }{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248\charrsid11686220 3D numerical chemo-hygro-thermo-mechanical model for concrete is presented}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248 
. The final goal is to formulate a model that is able to realistically simulate corrosion of reinforcement, before and after depassivation of ste
el, for any boundary conditions and loading. In the present paper mathematical formulation of transport processes before depassivation of steel (strong and weak form) and its implementation into a 3D finite element code are discussed. Moreover, coupling b
e
tween mechanical and non-mechanical parameters of the model is presented. To check the model implementation into a 3D FE code and its capability in prediction of depassivation time of reinforcement, numerical analysis of reinforced concrete slab exposed t
o sea water is carried out. The numerical results show}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248\charrsid3040698  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248 realistic space and time distribution of }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4468248\charrsid11686220 state variable}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248 s that are relevant for depassivation time of reinforcement. It is demonstrated that damage of concrete significantly reduces depassivation time. M
oreover, the adopted interaction between mechanical and non-mechanical properties of concrete seems to be realistic since predicted interaction between cracking and depassivation time agrees well with the experience from engineering practice. Further work
 is needed to verify the model and to simulated the processes after depassivation of reinforcement.
\par }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid1769547 
\par }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid4468248\charrsid4468248 References}{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid4468248 
\par }{\rtlch\fcs1 \ab\af0\afs22 \ltrch\fcs0 \b\fs22\insrsid4468248\charrsid4468248 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid3695996 \hich\af0\dbch\af0\loch\f0 [1]\tab}}\pard \ltrpar\qj \fi-567\li567\ri0\sl360\slmult1\widctlpar
\jclisttab\tx567\wrapdefault\aspalpha\aspnum\faauto\ls13\adjustright\rin0\lin567\itap0\pararsid4596812 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3695996 Balabani\'e6, G., Bi\'e6ani\'e6, N., and \'d0urekovi\'e6, A., Mathematical modeling }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid10705561 of }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248\charrsid10118764 electrochemi}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248 cal steel corrosion in concrete,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248\charrsid10118764  }{
\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4468248\charrsid10118764 Journal of Engineering Mechanics}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812 , }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812\charrsid10118764 122(12), 1113 }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid4596812 \endash }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812\charrsid10118764  1122}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812 , 1996}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14578517 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248 

\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [2]\tab}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 Ba\'9eant,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4468248\charrsid10118764 Z}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 .\~P., and Najjar,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248 L.,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056  }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4468248\charrsid10118764 Drying of concrete a}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248 s a nonlinear diffusion problem,}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4468248  }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid10705561 
Cement and Concrete Research,}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid4596812\charrsid10118764 , }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid4596812\charrsid10118764 1, }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812 461-473, }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid4468248\charrsid11960277 1971.
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [3]\tab}}\pard \ltrpar\qj \fi-567\li567\ri0\sl360\slmult1\widctlpar
\jclisttab\tx567\wrapdefault\aspalpha\aspnum\faauto\ls13\adjustright\rin0\lin567\itap0\pararsid4468248 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 Ba\'9eant,\~Z.\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4468248\charrsid11960277 
P., Physical model for steel corrosion in co}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3695996 ncrete sea structures \endash  theory}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12351610 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812  }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid4468248\charrsid11960277 Journal of the Structural Division, 105(ST6), 1137-1153, 1979.
\par {\listtext\pard\plain\ltrpar \s36 \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1033\langnp1033\langfenp1033\insrsid11960277\charrsid11960277 \hich\af0\dbch\af0\loch\f0 [4]\tab}}\pard\plain \ltrpar\s36\qj \fi-567\li567\ri0\sl360\slmult1\widctlpar
\jclisttab\tx567\wrapdefault\nooverflow\faroman\ls13\rin0\lin567\itap0\pararsid11960277 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 Ba
\'9ea}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 nt,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056 Z.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 \~P. and Kaplan,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056 M.}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid10560465 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056 F.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 , Concrete at High Temperatures: Material Properties and Mathemati}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12351610 
cal Models, Longman, Harlow}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 , 1996.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \s36 \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1033\langnp1033\langfenp1033\insrsid11960277\charrsid11960277 \hich\af0\dbch\af0\loch\f0 [5]\tab}B}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 ear,\~J., and Bachmat,\~}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 Y.,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  Introduction to Modeling of Transport Phenomena in }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 Porous Media,}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid11960277\charrsid11960277  Kluwer}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277  Academic Publishers,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 Dordrecth,}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid4596812  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 1991}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \s36 \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1033\langnp1033\langfenp1033\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [6]\tab}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 Belytschko,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid11960277\charrsid11960277 T.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 ,\~Liu,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 W.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 K. and Moran}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 ,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 B.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 , }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid11960277 
Nonlinear Finite Elements for Continua and Structures,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  John Wiley & Sons Ltd.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812  }{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid11960277 2001}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \s36 \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1033\langnp1033\langfenp1033\insrsid11960277\charrsid11960277 \hich\af0\dbch\af0\loch\f0 [7]\tab}Isgor}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 ,\~O.\~B., and Razaqpur.\~
A.\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 G.,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  Finite Element Modeling of}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056  }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid11960277\charrsid11960277 Coupled Heat Transfer, Moisture Transport and Carbonation Pro}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 ces se s in Concrete Structures,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  }{\rtlch\fcs1 
\ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid11960277 Cement and Concrete Composites}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 , }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid11960277\charrsid11960277 26}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid11960277\charrsid11960277 , 53-73.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 , 2004.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \s36 \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1033\langnp1033\langfenp1033\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [8]\tab}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 Isgor,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid11960277\charrsid11960277 O.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 \~B., and Razaqpur.\~A.\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 G., }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  
Advanced Modelling of Concrete Deterioration d}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 ue to Reinforcement Corrosion,}{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid11960277 Canadian Journal of Civil Engineering, }{\rtlch\fcs1 \ab\af0 
\ltrch\fcs0 \b\insrsid11960277\charrsid11960277 33}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 , 707-718.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812  }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid11960277 2006.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [9]\tab}}\pard\plain \ltrpar\qj \fi-567\li567\ri19\sl360\slmult1\nowidctlpar
\jclisttab\tx567\wrapdefault\faauto\ls13\rin19\lin567\itap0\pararsid11960277 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 Leech,\~C.,\~}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 Lo}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 ckington,\~D., and Dux,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 P., }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
Unsaturated Diffusivity Functions for C}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 oncrete Derived from NMR Images,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid11960277 
Materials and Structures, }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid11960277\charrsid11960277 36}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 , 413-418.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 , 2003.}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid11960277\charrsid11960277 \hich\af0\dbch\af0\loch\f0 [10]\tab}Mart\'edn \endash  P\'e9rez,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 \~}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid11960277 B.,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  Service Life Modelling of RC Highway }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 Structures Exposed to Chlorides,}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid11960277\charrsid11960277  PhD thesis}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 , University of Toronto, Canada, 1999.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \s36 \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1033\langnp1033\langfenp1033\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [11]\tab}}\pard\plain \ltrpar\s36\qj \fi-567\li567\ri0\sl360\slmult1\widctlpar
\jclisttab\tx567\wrapdefault\nooverflow\faroman\ls13\rin0\lin567\itap0\pararsid11960277 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 O\'9ebolt,\~J.,\~
Li, Y.-J. and Ko\'9ear,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 I.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277  , }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 \'93Microplane model for concre
te with relaxed kinematic constraint\'94, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid11960277 International Journal of Solids and Structures}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 , }{\rtlch\fcs1 \ab\af0 
\ltrch\fcs0 \b\insrsid11960277\charrsid11960277 38}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 , 2683-2711, 2001.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [12]\tab}}\pard\plain \ltrpar\qj \fi-567\li567\ri0\sl360\slmult1\widctlpar
\jclisttab\tx567\wrapdefault\aspalpha\aspnum\faauto\ls13\adjustright\rin0\lin567\itap0\pararsid11960277 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 O
\'9ebolt,\~J., Ko\'9ear,\~I.,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 Eligehause}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 n,\~R., and Peri\'9aki\'e6,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 G., }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid11960277\charrsid11960277 Three-dimensional FE analysis of head}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid945056 ed stud anchors exposed to fire,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  }{\rtlch\fcs1 \ai\af0 
\ltrch\fcs0 \i\insrsid11960277\charrsid11960277 Computers and Concrete}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 , Vol. 2 No.4, 249-266, 2005.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [13]\tab}}\pard \ltrpar\qj \fi-567\li567\ri19\sl360\slmult1\nowidctlpar
\jclisttab\tx567\wrapdefault\faauto\ls13\rin19\lin567\itap0\pararsid11960277 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 Saetta,\~A., Scotta,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 R., and Vital}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid10560465 iani,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 R.,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  Analysis of Chloride Diffusion in}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 to Partial1y Saturated Concrete, 
}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid11960277 ACI Materials Journal, }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid11960277\charrsid11960277 90}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid11960277  (5), 441-451, 1993}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812 b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \s36 \rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1033\langnp2057\langfenp1033\insrsid11960277\charrsid11960277 \hich\af0\dbch\af0\loch\f0 [14]\tab}}\pard\plain \ltrpar\s36\qj \fi-567\li567\ri0\sl360\slmult1\widctlpar
\jclisttab\tx567\wrapdefault\nooverflow\faroman\ls13\rin0\lin567\itap0\pararsid11960277 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang2057\langfe1033\langnp2057\insrsid11960277\charrsid11960277 Therrie}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1033\langnp2057\insrsid10560465 n,\~R. and Sudicky,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1033\langnp2057\insrsid11960277 E.\~
A.,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang2057\langfe1033\langnp2057\insrsid11960277\charrsid11960277  \'93Three-dimensional analysis of variably-saturated flow and solute transport in discretely-fractured porous media\'94, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\cs37\i\lang2057\langfe1033\langnp2057\insrsid11960277\charrsid11960277 Journal of Contaminant Hydrology}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \cs37\b\lang2057\langfe1033\langnp2057\insrsid11960277\charrsid11960277 , }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 
\cs37\b\cf1\lang2057\langfe1033\langnp2057\insrsid11960277\charrsid11960277 23}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cs37\cf1\lang2057\langfe1033\langnp2057\insrsid11960277\charrsid11960277 (1-2), }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\cs38\lang2057\langfe1033\langnp2057\insrsid11960277 1-44, 1996.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \cs38\lang2070\langfe1033\langnp2070\insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [15]\tab}}\pard\plain \ltrpar\qj \fi-567\li567\ri19\sl360\slmult1\nowidctlpar
\jclisttab\tx567\wrapdefault\faauto\ls13\rin19\lin567\itap0\pararsid11960277 \rtlch\fcs1 \af0\afs20\alang1025 \ltrch\fcs0 \fs20\lang1050\langfe1025\cgrid\langnp1050\langfenp1025 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 Tang,\~}{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid12351610 L.,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 Chloride Transport in Concrete - Measurement and Prediction. PhD thesis. Chalmers University }{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid11960277 of Technology, G\'f6teborg, Sweden, 1996.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid11960277\charrsid11960277 \hich\af0\dbch\af0\loch\f0 [16]\tab}}\pard \ltrpar\qj \fi-567\li567\ri0\sl360\slmult1\nowidctlpar
\jclisttab\tx567\tqc\tx4377\wrapdefault\faauto\ls13\rin0\lin567\itap0\pararsid11960277 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 Tang,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 \~L., and Nilsson,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid4596812 L.-O.,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  Service Life Prediction for Concrete Structures under Seawater by a Numerical Approach. In C. Sj\'f6str\'f6m (Ed.), }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 
\i\insrsid11960277\charrsid11960277 Durability of Building Materials and Components }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 7 }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid11960277 (Volume One) }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid12351610 (pp. 97-106).}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  UK: E & FN Spon.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4596812 , }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12351610 London, }{\rtlch\fcs1 \af0 
\ltrch\fcs0 \insrsid4596812 1996a.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid11960277\charrsid11960277 \hich\af0\dbch\af0\loch\f0 [17]\tab}}\pard \ltrpar\qj \fi-567\li567\ri0\sl360\slmult1\widctlpar
\jclisttab\tx567\wrapdefault\aspalpha\aspnum\faauto\ls13\adjustright\rin0\lin567\itap0\pararsid11960277 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 Tang,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 \~L., and Nilsson,\~}{\rtlch\fcs1 
\af0 \ltrch\fcs0 \insrsid7149197 L.-O.,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277 
A Numerical Method for Prediction of Chloride Penetration into Concrete Structures. In H. Jennings, J. Kropp, and K. Scrivener (Eds.), }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid11960277 The Modelling of Microstru
cture and Its Potential for}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11960277\charrsid11960277  }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid11960277 Studying Transport; Properties and Durability }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid11960277\charrsid11960277 (pp. 539-552). The Netherla}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7149197 nds: Kluwer Academic Publishers, 1996b}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14578517 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid11960277\charrsid11960277 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1050\langfe1025\langfenp1025\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [18]\tab}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10560465 Tuutti,\~K.,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid11960277\charrsid10118764 Corrosion of steel in concrete. Tech. Report, Swedish Cement and Concrete Research Institute, Stockholm, pp. 469.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid11668022 , 1993.}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\insrsid11960277\charrsid10118764 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\langfenp1025\insrsid10560465 \hich\af0\dbch\af0\loch\f0 [19]\tab}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10560465 Wang,\~K.,\~}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid11960277\charrsid10118764 Jansen}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10560465 ,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid11960277\charrsid10118764 D.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10510856 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid11960277\charrsid10118764 C.}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid11960277 ,}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10560465 \~Shah,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid11960277\charrsid10118764 P.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10510856 \~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid11960277\charrsid10118764 S.}{
\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid11960277 , and}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid11960277\charrsid10118764  }{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid10560465 Karr,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid11668022 A.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid10510856 ,\~}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid11960277\charrsid10118764 \'93Permeability study of cracked concrete\'94, }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid11960277\charrsid10118764 Cem. and Conc. Res.}{\rtlch\fcs1 \af0 \ltrch\fcs0 
\lang1033\langfe1025\langnp1033\insrsid11960277\charrsid10118764 , }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\lang1033\langfe1025\langnp1033\insrsid11960277\charrsid10118764 27}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid11668022 
(3), 381-393, 1997.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1025\langnp1033\insrsid4468248\charrsid11960277 
\par }\pard \ltrpar\qj \li0\ri0\sb80\sa120\sl360\slmult1\widctlpar\wrapdefault\hyphpar0\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7697410 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9773552 
\par }}