ࡱ> R G`_TcS.0JLNXZdfpr|~ <>XZ%%&5Ƽ˳˳˳6CJOJQJmH 5CJOJQJmH 5CJ OJQJmH CJ OJQJmH 5CJOJQJmH CJ mHCJOJQJmH 6CJH*OJQJmH jd6CJOJQJmH6CJOJQJmHCJOJQJmH: <>XZ$vd@ p#$ p# $d@ p# d@ p# $d@ p# FINITE ELEMENT MODEL OF WELDED JOINT WITH CRACK-TIP IN THE HEAT AFFECTED ZONE Dra~an Kozak M.Sc.Mech.Eng. D. Kozak, University of Osijek, Mechanical Engineering Faculty, Trg I.B.Ma~urani 18, HR-35000 Slavonski Brod, Croatia, E-mail: dkozak@brod.sfsb.hr Keywords: high strength steels, welded joint, strength mismatching, finite element method, crack, fracture mechanics ABSTRACT The possibility of failure of welded structures is depending on fracture mechanics properties of weld joints. The aim of this paper was to determine appropriate numerical model to simulate the experimental evaluation of fracture mechanics specimens. To this purpose, standard BxB single edge notch bend (SENB) three points bend (TPB) specimens made with surface notch tip in the heat affected zone (HAZ) were applied. The X-grooved welded joint is homogenous with the strength higher then base material (overmatching). The comparison between numerical and known experimental results is done by using measured values of fracture behaviour as are crack tip opening displacement (CTOD), load line displacement (LLD) and crack mouth opening displacement (CMOD). The finite elements results shown that using of described numerical procedure for threshold determination of safe load for real welded different structures is possible. 1. INTRODUCTION The actual approach to welding of high strength low allow (HSLA) steels recommends in some cases preheating and welding by electrodes, which produce higher yield strength of weld metal compared to parent metal. Preheating reduces the cold cracking susceptibility and overmatching has a protective effect, preventing growth of planar cracks or other defects in a weldment (N.Gubeljak, 1999). Anyhow, welding of HSLA steels with yield strength above 700 MPa is questionable, because it is difficult to produce electrode that provides high toughness and protective effect regarding crack initiation and growth in a weldment. According this, it is necessary to investigate fracture behaviour of such produced welded joints, particularly in the case of limited ability of deviation (f.e. constraint is greater in the case of three point bending than in tension mode of loading). The shape of weld gap can also play significant influence on increasing of constraint, so X-grooved welded joint may be a barrier (R.J.Dexter, 1996) to the further plastic flow, because a locally overmatched HAZ may act as a barrier against plastic deformation in the base metal. Therefore, the most critical fracture behaviour of specimens with crack tip in HAZ can be expected (C.Thaulow and M.Toyoda, 1996). The examinations of standard fracture mechanics specimens are very expensive in the rule and require appropriate equipment and qualified staff. In the other hand, the numerical simulation of the fracture investigation is cheaper and asked just one computer or workstation with installed some finite elements package and expert with experience in modelling of fracture problems. The many of today used numerical conventional programs (e.i. ABAQUS, IDEAS, NISA, ANSYS etc.) are applied to evaluate fracture mechanics parameters. The aim of this paper is to mark difficulties by numerical modelling of strength mismatched welded joints with crack-tip in HAZ and to propose the procedure for the valid determination of fracture behaviour. 2. THE EXPERIMENTAL RESULTS HSLA steel NIONICRAL 70A, corresponding to grade HT80 produced by Steelworks Jesenice - Slovenia as the base metal (BM) has been chosen. Welding was done on plate samples (500x250x40 mm) by Flux Cored Arc Welding (FCAW) process (CO2 shield gas) producing one overmatched (Weltec B 800 electrode) homogenous multipass X-grooved welded joint. Round tensile specimens (5mm) extracted from a real welded plate for the determination of mechanical properties of BM and weld metal region was used. It is very important to get true stress-strain curves for both materials because these data have a great influence on the later numerical simulation accuracy. True stress-strains diagrams for BM, weld metal and metal of HAZ on the Fig. 1 are given: Fig. 1 True stress-strain diagrams for BM, weld metal and HAZ metal The most difficult to achieve is correct determination of HAZ behaviour. One of the possible approaches is to transform data of measured microhardness to the strength properties by correlated formulae (N. Gubeljak, 1998):  where Rp0.2 [MPa] is yield strength, Rm [MPa] is ultimate strength, HV0.1 is Vickers microhardness and n is strain hardening coefficient related to (t8/5 [s]:  Assessment of the effect of different microstructures on fracture behaviour was obtained by positioning of the pre-crack in HAZ. Standard BxB (B=W=36 mm) single edge notched bend (SENB) specimens (a0/W=0,29) with surface notch tip completely in the HAZ were fatigue pre-cracked from the surface up to HAZ, Fig. 2. The crack front was located 5 mm distant from the symmetry of welded joint. During the test, the load F, load line displacement LLD, crack-tip opening displacement CTOD ((5) and crack mouth opening displacement (CMOD) were recorded. Measuring points are marked on specimen surface, Fig. 3. Experimentally obtained values will be compared with finite element results assessing accuracy of proposed numerical procedure.  EMBED Word.Picture.6  Fig. 2 Location of fatigue pre-crack tip  Fig. 3 Three point bending specimen and measuring points (CMOD, CTOD ((5)) 3. THE NUMERICAL MODELLING OF SPECIMEN Considering the aim of this paper finite element model of evaluated specimen by FEM commercial package ANSYS 5.3 was prepared. The 2-D front of model was build up by down to top technique. This means that first key points of three weldment zones (weld metal, 1,5 mm thick HAZ and base metal) must be defined. Further, these key points are connected with lines, which make the geometry of fracture model (Fig. 4).  EMBED Word.Picture.8 Fig. 4 Geometry of model drawn from lines The stress-strain curves introduced in the finite element code as a set of numerical data, are the true stress strain curves drawn from the tensile tests previously presented. For different zones of weldment appropriate set of material data was associated. The most important in a fracture model is the region around the edge of the crack. Crack-tip located in the HAZ as the stress concentration was generated with eight singular circumferential elements in the first row. For reasonable results, the first row of elements around the crack tip should have a radius of 50 (m (C. Ruggieri et all, 1996). The model was discretisate by so called free meshing technique with 8-node second-order isoparametric elements. The finite element model shown on the Fig. 5 consist from 1113 elements and 3402 nodes. Enlarged detail of fine mesh around crack-tip on the Fig. 6 is presented. Fig. 5 Finite element model of fracture specimen with crack-tip in the HAZ     Fig. 6 Detail of singular collapsed elements around crack-tip At the surface of specimen nodes are specified, which correspond to measure points for LLD, (5 and CMOD. Elastic plastic finite element calculations have been performed with incremental increasing of loading. As the yielding criteria von Mises equivalent stress was applied. 4. RESULTS AND DISCUSSION The fracture behaviour of specimen has been calculated with quasistatic increasing of load up to the point of experimental instability. Except calculated displacements at specified points and maximum equivalent stress, it is very useful to analyse stress-strain fields at surface of specimen at the moment of failure instability. Such analysis making possible to find out the reasons for collapse of structure, what is impossible just with experimental work (D. Kozak, 1998). The acceptable agreement between experimental and numerical values for displacements (LLD, (5 and CMOD) confirms proposed finite element model (Figs. 6 and 7). Actually, with FE results is possible to follow to curves obtained by experiment.  Fig. 6 The comparison between experimental and numerical results for LLD           Fig. 7 The comparison between experimental and numerical results for (5 and CMOD It is interesting to look at stress-strain condition at the moment of instability corresponds to ones at the moment of cleavage failure initiation on testing specimen. The observations of equivalent von Mises stress field at maximal load (117 kN) show that fracture appears although the utility of plastic flow in weld gap is not finished (Fig. 7).  Fig. 7 Von Mises equivalent stress field at the moment of instability failure 5. CONCLUSIONS Performed finite element analysis of weldment with crack-tip located in the HAZ are exhibiting understand good agreement between FE calculated displacements and experimental measured values. 6. ACKNOWLEDGMENT This investigation was performed under joint Croatian-Slovenian project, conducted by the Mechanical Engineering Faculty, Slavonski Brod and Faculty of Mechanical Engineering, Maribor. The work was supported too by stimulated grants for young scientists from Ministry of Science and Technology of Republic of Croatia Nr. 152-504. The author acknowledges many useful discussions and contributions of Prof. Dr. I. Rak, Prof. Dr. F. Mateji ek and Dr. N. Gubeljak. 7. LITERATURE /1/ Fracture Behaviour of Specimens with Surface Notch Tip in the Heat Affected Zone (HAZ) of Strength Mis-Matched Welded Joints, to be published in International Journal of Fracture /2/ Significance of Strength Undermatching of Welds in Structural Behaviour, IIW Doc. X-F-042-96 /3/ Strength Mis-Match Effect on Fracture Behaviour of HAZ, 2nd International Symposium on Mis-Matching of Welds, Reinstorf-Lneburg /4/ The Effect of Strength Mis-Match on Welded Joint Fracture Behaviour, Dissertation, University of Maribor /5/ Numerical Modelling of Ductile Crack Growth in 3-D using Computational Cell Elements, International Journal of Fracture 82, pp. 67-95 /6/ Modified numerical modelling of Fracture Behaviour of Weld Joint in Ductile-to-Brittle Temperature Transition Region, KOVINE ZLITINE TEHNOLOGIJE, Vol. 82, No. 5, pp. 337-342  PAGE 8 M.Sc.Mech.Eng. D. Kozak Finite element model of welded joint with crack-tip in heat affected zone  PAGE 7  Opatija, 1999. 5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING CIM 99 Published by: R.Cebalo & H. Schulz Ed.5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING CIM 99Croatian Association of Production Engineering, Zagreb 1999.  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D. Kozak, University of Osijek, Mechanical Engineering Faculty, Trg I.B.Ma~urani 18, HR-35000 Slavonski Brod, Croatia, E-mail: dkozak@brod.sfsb.hr Keywords: high strength steels, welded joint,& 0 0&P . A!"#$%`!8 DMZ(~"!h(3x}/A߼nP",!T qQqS*( ?XEġq/47kIWlfw>o߯Ύ@Ahtɩ#|rlhY[E-iw85V֦U|7s*~Ұ{qy%@^{7F< ffw]zu,g{`Cyuuu~I3R~D(.udxgT^yJS[[xuM+>o ^oou}c/qdMWyCyEs!`']/T.?L+g#}XS jb{v`!*/RkY>aIwsx0h+hxNAg@ Z\,@ -h,c QPĄN;lL GI%ΰwwbV-zxREAcWiUD~Q[ wRӎJUhq-eQ[+ZslE'Gޙm}L g.~Wӆ>}Zp;6V^hn[}Ьyg??aGKyr)%Yy:&7Dk**Eґ3| UUkKe˃iWL utH\n]5uK~p`!dbW strength mismatching, finite element method, crack, fracture mechanics ABSTRACT The possibility of failure of welded structures is depending on fracture mechanics properties of weld joints. The aim of this paper was to determine appropriate numerical mo&DdT 'B  S A? 2A&$aYb{IGj&D`!&$aYb{IGj $ #%xE뜮€(Q2 Q`ΐ",(A@ yCR}3f׷⮁0AJ{Ϯ|ߟ]5SNW꾗T~=QK*ī26isV4jCG>8_qpLqy~wOz|Ȩ{$LJx #_7UE>>bh)sO#A$Z2қ_HYCW/iǰ^z>)D);7w^ǵH# 8A (8uU, }Wpƞ7o쨈_w@z?;"s> Uח)I_P+\*38>sǨ>G!pC$m蕿뗑PkMcț3YjM Q6 eZkk2)(#5'#GSVcBy5WI k9,=K[kk)ƊϊXUkӠR5OHڳ*% Jqj{%*8IzbqpCkonSp.Ru!ֺ8 Pq99cJ3c5GA{j3StaЋ[Uo— E.# ~h| ?m$EᏊU%CYUij*Ƴ U`EVUOlma7`5BYrgIܢNƣ2|ĩ:5tD:Qg&te瘵 XTNN>KQk2.?w"UɘbK>( bapB~\LpJ`خDn@ݡt:n;gtr[8%p]s.W`Ğb5O7t]|K?} S[P,ďb5}ntSIh֓'IC)Kn wQI%R)7\Uܵưx""QC^{ *ٝNlh% :/PW7@\cA+sPHet5y)2i?ȝX!6ilCC;h*3Зx ?+F_CzS[7BqS]:twK(6!? j?"=4J[kb7Viսi>(X;lcP[d>1F]wu#hh-}%2m!HLْ9W EN-#*O"Oh+q:ѝ Nxikzd<DF>Y%* ;/. 7;YgzK|Bv"{?F^Qݞ5@fU%ڬ6ՖP:mQQe:VA9~Zǹ/~ϧhDK-x*YOU5xjēUG9SMj!P{1_ĸt*.W]U5kOJT}wUļyڅVIG{xs+q! ǻݹ;KY b_u^+j̓g@#qsMq2THR1ԯP)38NùVymE1 H%hXAH"y}VtYkHm-背P٣J)뷡O=[P_{ArM,`|0cQ.|لSgMʣKӡȑ6͛ycU r\ƺ<7^i`>h@+nF,.;BNbmК@sK[0[,nəܔ-,n܀50`'! %AȂw7-| -u6 rD@Z jidA Asn4G$[[p@j4½P[܎+sw7:[[.P3|؈r3eM RuZ"k j%s=ւ@{(|s5B5.(HաA,\K \!l-`CF^ptyN.w!J5B|:C]쟩CīԓE?@qyԉ=ZBsΏHtYqɊ{v`Exz6VY}N7k0wdnD]OS]ھ}0}aAZu:MGFM odYu =ݘGswy/7p zӚ $q+½$jjb5]5qF^wGCy'u#4R6lϛ7$6{6֖X XqiT|âeu# 냠^|;ⲯ{~ug(OEK8eAdmۂԒ6|ڊ ~Jdel to simulate the experimental evaluation of fracture mechanics specimens. To this purpose, standard BxB single edge notch bend (SENB) three points bend (TPB) specimens made with surface notch tip in the heat affected zone (HAZ) were applied. The X-grooved welded joint is homogenous with the strength higher then base material (overmatching). The comparison between numerical and known experimental results is done by using measured values of fracture behaviour as are crack tip opening displacement (CTOD), load line displacement (LLD) and crack mouth opening displacement (CMOD). The finite elements results shown that using of described numerical procedure for threshold determination of safe load for real welded different structures is possible. 1. INTRODUCTION The actual approach to welding of high strength low allow (HSLA) steels recommends in some cases preheating and welding by electrodes, which produce higher yield strength of weld metal compared to parent metal. Preheating reduces the cold cracking susceptibility and overmatching has a protective effect, preventing growth of planar cracks or other defects in a weldment (N.Gubeljak, 1999). Anyhow, welding of HSLA steels with yield strength above 700 MPa is questionable, because it is difficult to produce electrode that provides high toughness and protective effect regarding crack initiation and growth in a weldment. According this, it is necessary to investigate fracture behaviour of such produced welded joints, particularly in the case of limited ability of deviation (f.e. constraint is greater in the case of three point bending than in tension mode of loading). The shape of weld gap can also play significant influence on increasing of constraint, so X-grooved welded joint may be a barrier (R.J.Dexter, 1996) to the further plastic flow, because a locally overmatched HAZ may act as a barrier against plastic deformation in the base metal. Therefore, the most critical fracture behaviour of specimens with crack tip in HAZ can be expected (C.Thaulow and M.Toyoda, 1996). The examinations of standard fracture mechanics specimens are very expensive in the rule and require appropriate equipment and qualified staff. In the other hand, the numerical simulation of the fracture investigation is cheaper and asked just one computer or workstation with installed some finite elements package and expert with experience in modelling of fracture problems. The many of today used numerical conventional programs (e.i. ABAQUS, IDEAS, NISA, ANSYS etc.) are applied to evaluate fracture mechanics parameters. The aim of this paper is to mark difficulties by numerical modelling of strength mismatched welded joints with crack-tip in HAZ and to propose the procedure for the valid determination of fracture behaviour. 2. THE EXPERIMENTAL RESULTS HSLA steel NIONICRAL 70A, corresponding to grade HT80 produced by Steelworks Jesenice - Slovenia as the base metal (BM) has been chosen. Welding was done on plate samples (500x250x40 mm) by Flux Cored Arc Welding (FCAW) process (CO2 shield gas) producing one overmatched (Weltec B 800 electrode) homogenous multipass X-grooved welded joint. Round tensile specimens (5mm) extracted from a real welded plate for the determination of mechanical properties of BM and weld metal region was used. It is very important to get true stress-strain curves for both materials because these data have a great influence on the later numerical simulation accuracy. True stress-strains diagrams for BM, weld metal and metal of HAZ on the Fig. 1 are given: Fig. 1 True stress-strain diagrams for BM, weld metal and HAZ metal The most difficult to achieve is correct determination of HAZ behaviour. One of the possible approaches is to transform data of measured microhardness to the strength properties by correlated formulae (N. Gubeljak, 1998):  where Rp0.2 [MPa] is yield strength, Rm [MPa] is ultimate strength, HV0.1 is Vickers microhardness and n is strain hardening coefficient related to (t8/5 [s]:  Assessment of the effect of different microstructures on fracture behaviour was obtained by positioning of the pre-crack in HAZ. Standard BxB (B=W=36 mm) single edge notched bend (SENB) specimens (a0/W=0,29) with surface notch tip completely in the HAZ were fatigue pre-cracked from the surface up to HAZ, Fig. 2. The crack front was located 5 mm distant from the symmetry of welded joint. During the test, the load F, load line displacement LLD, crack-tip opening displacement CTOD ((5) and crack mouth opening displacement (CMOD) were recorded. Measuring points are marked on specimen surface, Fig. 3. Experimentally obtained values will be compared with finite element results assessing accuracy of proposed numerical procedure.  EMBED Word.Picture.6  Fig. 2 Location of fatigue pre-crack tip  Fig. 3 Three point bending specimen and measuring points (CMOD, CTOD ((5)) 3. THE NUMERICAL MODELLING OF SPECIMEN Considering the aim of this paper finite element model of evaluated specimen by FEM commercial package ANSYS 5.3 was prepared. The 2-D front of model was build up by  down to top technique. This means that first key points of three weldment zones (weld metal, 1,5 mm thick HAZ and base metal) must be defined. Further, these key points are connected with lines, which make the geometry of fracture model (Fig. 4).  EMBED Word.Picture.8 Fig. 4 Geometry of model drawn from lines The stress-strain curves introduced in the finite element code as a set of numerical data, are the true stress strain curves drawn from the tensile tests previously presented. For different zones of weldment appropriate set of material data was associated. The most important in a fracture model is the region around the edge of the crack. Crack-tip located in the HAZ as the stress concentration was generated with eight singular circumferential elements in the first row. For reasonable results, the first row of elements around the crack tip should have a radius of 50 (m (C. Ruggieri et all, 1996). The model was discretisate by so called  free meshing technique with 8-node second-order isoparametric elements. The finite element model shown on the Fig. 5 consist from 1113 elements and 3402 nodes. Enlarged detail of fine mesh around crack-tip on the Fig. 6 is presented. Fig. 5 Finite element model of fracture specimen with crack-tip in the HAZ     Fig. 6 Detail of singular collapsed elements around crack-tip At the surface of specimen nodes are specified, which correspond to measure points for LLD, (5 and CMOD. Elastic plastic finite element calculations have been performed with incremental increasing of loading. As the yielding criteria von Mises equivalent stress was applied. 4. RESULTS AND DISCUSSION The fracture behaviour of specimen has been calculated with quasistatic increasing of load up to the point of experimental instability. Except calculated displacements at specified points and maximum equivalent stress, it is very useful to analyse stress-strain fields at surface of specimen at the moment of failure instability. Such analysis making possible to find out the reasons for collapse of structure, what is impossible just with experimental work (D. Kozak, 1998). The acceptable agreement between experimental and numerical values for displacements (LLD, (5 and CMOD) confirms proposed finite element model (Figs. 6 and 7). Actually, with FE results is possible to follow to curves obtained by experiment.  Fig. 6 The comparison between experimental and numerical results for LLD           Fig. 7 The comparison between experimental and numerical results for (5 and CMOD It is interesting to look at stress-strain condition at the moment of instability corresponds to ones at the moment of cleavage failure initiation on testing specimen. The observations of equivalent von Mises stress field at maximal load (117 kN) show that fracture appears although the utility of plastic flow in weld gap is not finished (Fig. 7).  Fig. 7 Von Mises equivalent stress field at the moment of instability failure 5. CONCLUSIONS Performed finite element analysis of weldment with crack-tip located in the HAZ are exhibiting understand good agreement between FE calculated displacements and experimental measured values. Also the stress-strain condition at the crack tip can be determined in the moment of failure instability. Considering the previous work is evident that used finite element calculation procedure is appropriate not just for mismatching welded joints with crack-tip in the weld metal but also with crack-tip in the HAZ. Analysing the results it can be concluded that the shape and width of weld joint are strongly effected by constraint effect in the weld joint. In the case of an locally overmatched HAZ with respect to the weld metal, the HAZ will act an barrier against plastic deformation in the base metal. Because of HAZ, following the shape of weld gap, the initiation of instability began as the contour of plastic flow comes to near fusion line. It seems that instability fracture began when the utility of plastic flow in weld gap is finished. 6. ACKNOWLEDGMENT This investigation was performed under joint Croatian-Slovenian project, conducted by the Mechanical Engineering Faculty, Slavonski Brod and Faculty of Mechanical Engineering, Maribor. The work was supported too by stimulated grants for young scientists from Ministry of Science and Technology of Republic of Croatia Nr. 152-504. The author acknowledges many useful discussions and contributions of Prof. Dr. I. Rak, Prof. Dr. F. Mateji ek and Dr. N. Gubeljak. 7. LITERATURE /1/ Fracture Behaviour of Specimens with Surface Notch Tip in the Heat Affected Zone (HAZ) of Strength Mis-Matched Welded Joints, to be published in International Journal of Fracture /2/ Significance of Strength Undermatching of Welds in Structural Behaviour, IIW Doc. X-F-042-96 /3/ Strength Mis-Match Effect on Fracture Behaviour of HAZ, 2nd International Symposium on Mis-Matching of Welds, Reinstorf-Lneburg /4/ The Effect of Strength Mis-Match on Welded Joint Fracture Behaviour, Dissertation, University of Maribor /5/ Numerical Modelling of Ductile Crack Growth in 3-D using Computational Cell Elements, International Journal of Fracture 82, pp. 67-95 /6/ Modified numerical modelling of Fracture Behaviour of Weld Joint in Ductile-to-Brittle Temperature Transition Region, KOVINE ZLITINE TEHNOLOGIJE, Vol. 82, No. 5, pp. 337-342  PAGE 8 M.Sc.Mech.Eng. D. Kozak Finite element model of welded joint with crack-tip in heat affected zone  PAGE 7  Opatija, 1999. 5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING CIM  99 Published by: R.Cebalo & H. Schulz Ed.5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING  CIM  99Croatian Association of Production Engineering, Zagreb 1999.  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  F 4(W B CMODD a W=B=36 d5 0 1,5mm Crack-tip Base metal HAZ Crack-tip located in the HAZ Weld metal 20 40 60 80 100 120 LLD, mm 0,2 0,4 0,6 0,8 1,0 1,2 F, kN Exp. results FEM results FEM results Exp. results F, kN 0,36 0,12 0,24 0,09 0,06 0,03 (5, mm 120 100 80 60 40 20 0 0 CMOD, mm %%&055 6;;;;;;;;;;;;;;; $d@ p# $d@ p#$ p#5 677;|<8><>J>L>T>>>>>>>f?h?j?p?|?~?AABBBB>CHCJCLCNCCC>E@EnEpErEtExEEEEExFzF|FFFF쩥ز6CJH*OJQJmH j@\6CJUj b>6 CJUVmH6CJj6CJU jd6CJOJQJmH  jDCJOJQJmH jCJOJQJUmH6CJOJQJmH CJH*OJQJmH CJOJQJmH 5CJOJQJmH 4;|<8>>>|???:EEvExEEEEEEEEEEEEEEE $d@ p# $d@ p# $d@ p#EEEEFFFJJRJTJJJLQQQQ(R,R2R4R8R:R6 CJUVmHjCJOJQJUmH jCJOJQJUmHCJOJQJmH -zFzHzPzRzTz^z`zzz|zzzzzzzzzzzzzzzz{ {{{ {"{${&{0{2{:{<{D{F{L{N{T{V{\{^{d{f{j{l{x{z{{{{{<Ƽ5CJOJQJmH CJ mHCJOJQJmH 6CJH*OJQJmH jd6CJOJQJmH6CJOJQJmHCJOJQJmHFj{l{x{z{{{{{<>XZ$ p#$vd@ p#$ p# $d@ p# d@ p# $d@ p#1<2>2X2Z23333444;;<K LMMQ|R8T2X2Z223334444; $d@ p#$ p#$vd@ p#$ p# $d@ p# d@ p# $d@ p#N%uBVk !@Y3|px}KJAjt(B(nl!YPLT4^@</"p#k .1C3SwU#  q=ī( (eB0/KN>3I׫k=\g11YجwkDSC% wx4洪=âbeѫRQ(J\;Bj$ZG돹h=K"g.X K˞p8brK[25qk~_|{m)|O`_)Y>^|d^#GI~۲Q='䫝a(|]5e FINITE ELEMENT MODEL OF WELDED JOINT WITH CRACK-TIP IN THE HEAT AFFECTED ZONE Dra~an Kozak M.Sc.Mech.Eng. D. Kozak, University of Osijek, Mechanical Engineering Faculty, Trg I.B.Ma~urani 18, HR-35000 Slavonski Brod, Croatia, E-mail: dkozak@brod.sfsb.hr Keywords: high strength steels, welded joint, strength mismatching, finite element method, crack, fracture mechanics ABSTRACT The possibility of failure of welded structures is depending on fracture mechanics properties of weld joints. The aim of this paper was to determine appropriate numerical model to simulate the experimental evaluation of fracture mechanics specimens. To this purpose, standard BxB single edge notch bend (SENB) three points bend (TPB) specimens made with surface notch tip in the heat affected zone (HAZ) were applied. The X-grooved welded joint is homogenous with the strength higher then base material (overmatching). The comparison between numerical and known experimental results is done by using measured values of fracture behaviour as are crack tip opening displacement (CTOD), load line displacement (LLD) and crack mouth opening displacement (CMOD). The finite elements results shown that using of described numerical procedure for threshold determination of safe load for real welded different structures is possible. 1. INTRODUCTION The actual approach to welding of high strength low allow (HSLA) steels recommends in some cases preheating and welding by electrodes, which produce higher yield strength of weld metal compared to parent metal. Preheating reduces the cold cracking susceptibility and overmatching has a protective effect, preventing growth of planar cracks or other defects in a weldment (N.Gubeljak, 1999). Anyhow, welding of HSLA steels with yield strength above 700 MPa is questionable, because it is difficult to produce electrode that provides high toughness and protective effect regarding crack initiation and growth in a weldment. According this, it is necessary to investigate fracture behaviour of such produced welded joints, particularly in the case of limited ability of deviation (f.e. constraint is greater in the case of three point bending than in tension mode of loading). The shape of weld gap can also play significant influence on increasing of constraint, so X-grooved welded joint may be a barrier (R.J.Dexter, 1996) to the further plastic flow, because a locally overmatched HAZ may act as a barrier against plastic deformation in the base metal. Therefore, the most critical fracture behaviour of specimens with crack tip in HAZ can be expected (C.Thaulow and M.Toyoda, 1996). The examinations of standard fracture mechanics specimens are very expensive in the rule and require appropriate equipment and qualified staff. In the other hand, the numerical simulation of the fracture investigation is cheaper and asked just one computer or workstation with installed some finite elements package and expert with experience in modelling of fracture problems. The many of today used numerical conventional programs (e.i. ABAQUS, IDEAS, NISA, ANSYS etc.) are applied to evaluate fracture mechanics parameters. The aim of this paper is to mark difficulties by numerical modelling of strength mismatched welded joints with crack-tip in HAZ and to propose the procedure for the valid determination of fracture behaviour. 2. THE EXPERIMENTAL RESULTS HSLA steel NIONICRAL 70A, corresponding to grade HT80 produced by Steelworks Jesenice - Slovenia as the base metal (BM) has been chosen. Welding was done on plate samples (500x250x40 mm) by Flux Cored Arc Welding (FCAW) process (CO2 shield gas) producing one overmatched (Weltec B 800 electrode) homogenous multipass X-grooved welded joint. Round tensile specimens (5mm) extracted from a real welded plate for the determination of mechanical properties of BM and weld metal region was used. It is very important to get true stress-strain curves for both materials because these data have a great influence on the later numerical simulation accuracy. True stress-strains diagrams for BM, weld metal and metal of HAZ on the Fig. 1 are given: Fig. 1 True stress-strain diagrams for BM, weld metal and HAZ metal The most difficult to achieve is correct determination of HAZ behaviour. One of the possible approaches is to transform data of measured microhardness to the strength properties by correlated formulae (N. Gubeljak, 1998):  where Rp0.2 [MPa] is yield strength, Rm [MPa] is ultimate strength, HV0.1 is Vickers microhardness and n is strain hardening coefficient related to (t8/5 [s]:  Assessment of the effect of different microstructures on fracture behaviour was obtained by positioning of the pre-crack in HAZ. Standard BxB (B=W=36 mm) single edge notched bend (SENB) specimens (a0/W=0,29) with surface notch tip completely in the HAZ were fatigue pre-cracked from the surface up to HAZ, Fig. 2. The crack front was located 5 mm distant from the symmetry of welded joint. During the test, the load F, load line displacement LLD, crack-tip opening displacement CTOD ((5) and crack mouth opening displacement (CMOD) were recorded. Measuring points are marked on specimen surface, Fig. 3. Experimentally obtained values will be compared with finite element results assessing accuracy of proposed numerical procedure.  EMBED Word.Picture.6  Fig. 2 Location of fatigue pre-crack tip  Fig. 3 Three point bending specimen and measuring points (CMOD, CTOD ((5)) 3. THE NUMERICAL MODELLING OF SPECIMEN Considering the aim of this paper finite element model of evaluated specimen by FEM commercial package ANSYS 5.3 was prepared. The 2-D front of model was build up by  down to top technique. This means that first key points of three weldment zones (weld metal, 1,5 mm thick HAZ and base metal) must be defined. Further, these key points are connected with lines, which make the geometry of fracture model (Fig. 4).  EMBED Word.Picture.8 Fig. 4 Geometry of model drawn from lines The stress-strain curves introduced in the finite element code as a set of numerical data, are the true stress strain curves drawn from the tensile tests previously presented. For different zones of weldment appropriate set of material data was associated. The most important in a fracture model is the region around the edge of the crack. Crack-tip located in the HAZ as the stress concentration was generated with eight singular circumferential elements in the first row. For reasonable results, the first row of elements around the crack tip should have a radius of 50 (m (C. Ruggieri et all, 1996). The model was discretisate by so called  free meshing technique with 8-node second-order isoparametric elements. The finite element model shown on the Fig. 5 consist from 1113 elements and 3402 nodes. Enlarged detail of fine mesh around crack-tip on the Fig. 6 is presented. Fig. 5 Finite element model of fracture specimen with crack-tip in the HAZ     Fig. 6 Detail of singular collapsed elements around crack-tip At the surface of specimen nodes are specified, which correspond to measure points for LLD, (5 and CMOD. Elastic plastic finite element calculations have been performed with incremental increasing of loading. As the yielding criteria von Mises equivalent stress was applied. 4. RESULTS AND DISCUSSION The fracture behaviour of specimen has been calculated with quasistatic increasing of load up to the point of experimental instability. Except calculated displacements at specified points and maximum equivalent stress, it is very useful to analyse stress-strain fields at surface of specimen at the moment of failure instability. Such analysis making possible to find out the reasons for collapse of structure, what is impossible just with experimental work (D. Kozak, 1998). The acceptable agreement between experimental and numerical values for displacements (LLD, (5 and CMOD) confirms proposed finite element model (Figs. 6 and 7). Actually, with FE results is possible to follow to curves obtained by experiment.  Fig. 6 The comparison between experimental and numerical results for LLD           Fig. 7 The comparison between experimental and numerical results for (5 and CMOD It is interesting to look at stress-strain condition at the moment of instability corresponds to ones at the moment of cleavage failure initiation on testing specimen. The observations of equivalent von Mises stress field at maximal load (117 kN) show that fracture appears although the utility of plastic flow in weld gap is not finished (Fig. 7).  Fig. 7 Von Mises equivalent stress field at the moment of instability failure 5. CONCLUSIONS Performed finite element analysis of weldment with crack-tip located in the HAZ are exhibiting understand good agreement between FE calculated displacements and experimental measured values. Also the stress-strain condition at the crack tip can be numerical calculated and realistic presented in the moment of failure instability. Considering the previous work is evident that used finite element calculation procedure is appropriate not just for mismatching welded joints with crack-tip in the weld metal but also with crack-tip in the HAZ. Analysing the results it can be concluded that the shape and width of weld joint are strongly effected by constraint effect in the weld joint. In the case of a locally overmatched HAZ with respect to the weld metal, the HAZ will act an barrier against plastic deformation in the base metal. Because of HAZ, following the shape of weld gap, the initiation of instability began when the contour of plastic flow comes to near fusion line. It seems that unstable fracture occur when the utility of plastic flow in weld gap is finished. 6. ACKNOWLEDGMENT This investigation was performed under joint Croatian-Slovenian project, conducted by the Mechanical Engineering Faculty, Slavonski Brod and Faculty of Mechanical Engineering, Maribor. The work was supported too by stimulated grants for young scientists of Ministry of Science and Technology of Republic of Croatia Nr. 152-504. The author acknowledges many useful discussions and contributions of Prof. Dr. I. Rak, Prof. Dr. F. Mateji ek and Dr. N. Gubeljak. 7. LITERATURE /1/ Fracture Behaviour of Specimens with Surface Notch Tip in the Heat Affected Zone (HAZ) of Strength Mis-Matched Welded Joints, to be published in the International Journal of Fracture /2/ Significance of Strength Undermatching of Welds in Structural Behaviour, IIW Doc. X-F-042-96 /3/ Strength Mis-Match Effect on Fracture Behaviour of HAZ, 2nd International Symposium on Mis-Matching of Welds, Reinstorf-Lneburg /4/ The Effect of Strength Mis-Match on Welded Joint Fracture Behaviour, Dissertation, University of Maribor /5/ Numerical Modelling of Ductile Crack Growth in 3-D using Computational Cell Elements, International Journal of Fracture 82, pp. 67-95 /6/ Modified Numerical Modelling of Fracture Behaviour of Weld Joint in Ductile-to-Brittle Temperature Transition Region, KOVINE ZLITINE TEHNOLOGIJE, Vol. 82, No. 5, pp. 337-342  PAGE 8 M.Sc.Mech.Eng. D. Kozak Finite element model of welded joint with crack-tip in heat affected zone  PAGE 7  Opatija, 1999. 5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING CIM  99 Published by: R.Cebalo & H. Schulz Ed.5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING  CIM  99Croatian Association of Production Engineering, Zagreb 1999.  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  F 4(W B CMODD a W=B=36 d5 0 1,5mm Crack-tip Base metal HAZ Crack-tip located in the HAZ Weld metal 20 40 60 80 100 120 LLD, mm 0,2 0,4 0,6 0,8 1,0 1,2 F, kN Exp. results FEM results FEM results Exp. results F, kN 0,36 0,12 0,24 0,09 0,06 0,03 (5, mm 120 100 80 60 40 20 0 0 CMOD, mm ;;<FKK LQQQQQQQQQQQQQQQ|R8T>T|U $d@ p# $d@ p# $d@ p#|UUU:[<[>[v[x[[[[[[[[[[[[[[[[[[\ $d@ p# $d@ p# $d@ p#XX>YHYJYLYNYYY>[@[n[p[r[t[x[[[[[x\z\|\\\\```J`L`N`P`T``$e&eȼߚ즃wj^ jmCJOJQJmH jWCJOJQJUmH j >6 CJUVmHjCJOJQJUmH 5CJOJQJmH 6CJH*OJQJmH jCJOJQJUmHj6CJUj b>6 CJUVmH6CJj6CJUCJH*OJQJmH  jd6CJOJQJmH CJOJQJmH 6CJOJQJmH $\\\``R`T```bgggg(h,h2h4h8h:hXZ Ƽ˳˳˳˟6CJOJQJmH 5CJOJQJmH 5CJ OJQJmH CJ OJQJmH 5CJOJQJmH CJ mHCJOJQJmH 6CJOJQJmH6CJH*OJQJmH jd6CJOJQJmHCJOJQJmH8ʑ̑ΑБ<>XZ $d@ p#$ p#$vd@ p#$ p# $d@ p# d@ p# $d@ p#8@BHRT\^fhprz|  "$.0:<FHRT^`bdnpxzEFƼCJ OJQJmH 5CJOJQJmH CJ mHCJOJQJmH 6CJH*OJQJmH jd6CJOJQJmH6CJOJQJmHCJOJQJmHFEEEFXFZFFGGGHHHHO $d@ p#$ p#$vd@ p#$ p# $d@ p# d@ p# $d@ p#N%uBVk !@Y3|px}KJAjt(B(nl!YPLT4^@</"p#k .1C3SwU#  q=ī( (eB0/KN>3I׫k=\g11YجwkDSC% wx4洪=âbeѫRQ(J\;Bj$ZG돹h=K"g.X K˞p8brK[25qk~_|{m)|O`_)Y>^|d^#GI~۲Q='䫝a(|]5e FINITE ELEMENT MODEL OF WELDED JOINT WITH CRACK-TIP IN THE HEAT AFFECTED ZONE Dra~an Kozak M.Sc.Mech.Eng. D. Kozak, University of Osijek, Mechanical Engineering Faculty, Trg I.B.Ma~urani 18, HR-35000 Slavonski Brod, Croatia, E-mail: dkozak@brod.sfsb.hr Keywords: high strength steels, welded joint, strength mismatching, finite element method, crack, fracture mechanics ABSTRACT The possibility of failure of welded structures is depending on fracture mechanics properties of weld joints. The aim of this paper was to determine appropriate numerical model to simulate the experimental evaluation of fracture mechanics specimens. To this purpose, standard BxB single edge notch bend (SENB) three points bend (TPB) specimens made with surface notch tip in the heat affected zone (HAZ) were applied. The X-grooved welded joint is homogenous with the strength higher then base material (overmatching). The comparison between numerical and known experimental results is done by using measured values of fracture behaviour as are crack tip opening displacement (CTOD), load line displacement (LLD) and crack mouth opening displacement (CMOD). The finite elements results shown that using of described numerical procedure for threshold determination of safe load for real welded different structures is possible. 1. INTRODUCTION The actual approach to welding of high strength low allow (HSLA) steels recommends in some cases preheating and welding by electrodes, which produce higher yield strength of weld metal compared to parent metal. Preheating reduces the cold cracking susceptibility and overmatching has a protective effect, preventing growth of planar cracks or other defects in a weldment (N.Gubeljak, 1999). Anyhow, welding of HSLA steels with yield strength above 700 MPa is questionable, because it is difficult to produce electrode that provides high toughness and protective effect regarding crack initiation and growth in a weldment. According this, it is necessary to investigate fracture behaviour of such produced welded joints, particularly in the case of limited ability of deviation (f.e. constraint is greater in the case of three point bending than in tension mode of loading). The shape of weld gap can also play significant influence on increasing of constraint, so X-grooved welded joint may be a barrier (R.J.Dexter, 1996) to the further plastic flow, because a locally overmatched HAZ may act as a barrier against plastic deformation in the base metal. Therefore, the most critical fracture behaviour of specimens with crack tip in HAZ can be expected (C.Thaulow and M.Toyoda, 1996). The examinations of standard fracture mechanics specimens are very expensive in the rule and require appropriate equipment and qualified staff. In the other hand, the numerical simulation of the fracture investigation is cheaper and asked just one computer or workstation with installed some finite elements package and expert with experience in modelling of fracture problems. The many of today used numerical conventional programs (e.i. ABAQUS, IDEAS, NISA, ANSYS etc.) are applied to evaluate fracture mechanics parameters. The aim of this paper is to mark difficulties by numerical modelling of strength mismatched welded joints with crack-tip in HAZ and to propose the procedure for the valid determination of fracture behaviour. 2. THE EXPERIMENTAL RESULTS HSLA steel NIONICRAL 70A, corresponding to grade HT80 produced by Steelworks Jesenice - Slovenia as the base metal (BM) has been chosen. Welding was done on plate samples (500x250x40 mm) by Flux Cored Arc Welding (FCAW) process (CO2 shield gas) producing one overmatched (Weltec B 800 electrode) homogenous multipass X-grooved welded joint. Round tensile specimens (5mm) extracted from a real welded plate for the determination of mechanical properties of BM and weld metal region was used. It is very important to get true stress-strain curves for both materials because these data have a great influence on the later numerical simulation accuracy. True stress-strains diagrams for BM, weld metal and metal of HAZ on the Fig. 1 are given: Fig. 1 True stress-strain diagrams for BM, weld metal and HAZ metal The most difficult to achieve is correct determination of HAZ behaviour. One of the possible approaches is to transform data of measured microhardness to the strength properties by correlated formulae (N. Gubeljak, 1998):  where Rp0.2 [MPa] is yield strength, Rm [MPa] is ultimate strength, HV0.1 is Vickers microhardness and n is strain hardening coefficient related to (t8/5 [s]:  Assessment of the effect of different microstructures on fracture behaviour was obtained by positioning of the pre-crack in HAZ. Standard BxB (B=W=36 mm) single edge notched bend (SENB) specimens (a0/W=0,29) with surface notch tip completely in the HAZ were fatigue pre-cracked from the surface up to HAZ, Fig. 2. The crack front was located 5 mm distant from the symmetry of welded joint. During the test, the load F, load line displacement LLD, crack-tip opening displacement CTOD ((5) and crack mouth opening displacement (CMOD) were recorded. Measuring points are marked on specimen surface, Fig. 3. Experimentally obtained values will be compared with finite element results assessing accuracy of proposed numerical procedure.  EMBED Word.Picture.6  Fig. 2 Location of fatigue pre-crack tip  Fig. 3 Three point bending specimen and measuring points (CMOD, CTOD ((5)) 3. THE NUMERICAL MODELLING OF SPECIMEN Considering the aim of this paper finite element model of evaluated specimen by FEM commercial package ANSYS 5.3 was prepared. The 2-D front of model was build up by  down to top technique. This means that first key points of three weldment zones (weld metal, 1,5 mm thick HAZ and base metal) must be defined. Further, these key points are connected with lines, which make the geometry of fracture model (Fig. 4).  EMBED Word.Picture.8 Fig. 4 Geometry of model drawn from lines The stress-strain curves introduced in the finite element code as a set of numerical data, are the true stress strain curves drawn from the tensile tests previously presented. For different zones of weldment appropriate set of material data was associated. The most important in a fracture model is the region around the edge of the crack. Crack-tip located in the HAZ as the stress concentration was generated with eight singular circumferential elements in the first row. For reasonable results, the first row of elements around the crack tip should have a radius of 50 (m (C. Ruggieri et all, 1996). The model was discretisate by so called  free meshing technique with 8-node second-order isoparametric elements. The finite element model shown on the Fig. 5 consist from 1113 elements and 3402 nodes. Enlarged detail of fine mesh around crack-tip on the Fig. 6 is presented. Fig. 5 Finite element model of fracture specimen with crack-tip in the HAZ     Fig. 6 Detail of singular collapsed elements around crack-tip At the surface of specimen nodes are specified, which correspond to measure points for LLD, (5 and CMOD. Elastic plastic finite element calculations have been performed with incremental increasing of loading. As the yielding criteria von Mises equivalent stress was applied. 4. RESULTS AND DISCUSSION The fracture behaviour of specimen has been calculated with quasistatic increasing of load up to the point of experimental instability. Except calculated displacements at specified points and maximum equivalent stress, it is very useful to analyse stress-strain fields at surface of specimen at the moment of failure instability. Such analysis making possible to find out the reasons for collapse of structure, what is impossible just with experimental work (D. Kozak, 1998). The acceptable agreement between experimental and numerical values for displacements (LLD, (5 and CMOD) confirms proposed finite element model (Figs. 6 and 7). Actually, with FE results is possible to follow to curves obtained by experiment.  Fig. 6 The comparison between experimental and numerical results for LLD                Fig. 7 The comparison between experimental and numerical results for (5 and CMOD It is interesting to look at stress-strain condition at the moment of instability corresponds to ones at the moment of cleavage failure initiation on testing specimen. The observations of equivalent von Mises stress field at maximal load (117 kN) show that fracture appears although the utility of plastic flow in weld gap is not finished (Fig. 7).  Fig. 7 Von Mises equivalent stress field at the moment of instability failure 5. CONCLUSIONS Performed finite element analysis of weldment with crack-tip located in the HAZ are exhibiting understand good agreement between FE calculated displacements and experimental measured values. Also the stress-strain condition at the crack tip can be numerical calculated and realistic presented in the moment of failure instability. Considering the previous work is evident that used finite element calculation procedure is appropriate not just for mismatching welded joints with crack-tip in the weld metal but also with crack-tip in the HAZ. Analysing the results it can be concluded that the shape and width of weld joint are strongly effected by constraint effect in the weld joint. In the case of a locally overmatched HAZ with respect to the weld metal, the HAZ will act an barrier against plastic deformation in the base metal. Because of HAZ, following the shape of weld gap, the initiation of instability began when the contour of plastic flow comes to near fusion line. It seems that unstable fracture occur when the utility of plastic flow in weld gap is finished. 6. ACKNOWLEDGMENT This investigation was performed under joint Croatian-Slovenian project, conducted by the Mechanical Engineering Faculty, Slavonski Brod and Faculty of Mechanical Engineering, Maribor. The work was supported too by stimulated grants for young scientists of Ministry of Science and Technology of Republic of Croatia Nr. 152-504. The author acknowledges many useful discussions and contributions of Prof. Dr. I. Rak, Prof. Dr. F. Mateji ek and Dr. N. Gubeljak. 7. LITERATURE /1/ Fracture Behaviour of Specimens with Surface Notch Tip in the Heat Affected Zone (HAZ) of Strength Mis-Matched Welded Joints, to be published in the International Journal of Fracture /2/ Significance of Strength Undermatching of Welds in Structural Behaviour, IIW Doc. X-F-042-96 /3/ Strength Mis-Match Effect on Fracture Behaviour of HAZ, 2nd International Symposium on Mis-Matching of Welds, Reinstorf-Lneburg /4/ The Effect of Strength Mis-Match on Welded Joint Fracture Behaviour, Dissertation, University of Maribor /5/ Numerical Modelling of Ductile Crack Growth in 3-D using Computational Cell Elements, International Journal of Fracture 82, pp. 67-95 /6/ Modified Numerical Modelling of Fracture Behaviour of Weld Joint in Ductile-to-Brittle Temperature Transition Region, KOVINE ZLITINE TEHNOLOGIJE, Vol. 82, No. 5, pp. 337-342  PAGE 6 M.Sc.Mech.Eng. D. Kozak Finite element model of welded joint with crack-tip in heat affected zone  PAGE 7  Opatija, 1999. 5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING CIM  99 Published by: R.Cebalo & H. Schulz Ed.5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING  CIM  99Croatian Association of Production Engineering, Zagreb 1999.  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The aim of this paper was to determine appropriate numerical model to simulate the experimental evaluation of fracture mechanics specimens. To this purpose, standard BxB single edge notch bend (SENB) three points bend (TPB) specimens made with surface notch tip in the heat affected zone (HAZ) were applied. The X-grooved welded joint is homogenous with the strength higher then base material (overmatching). The comparison between numerical and known experimental results is done by using measured values of fracture behaviour as are crack tip opening displacement (CTOD), load line displacement (LLD) and crack mouth opening displacement (CMOD). The finite elements results shown that using of described numerical procedure for threshold determination of safe load for real welded different structures is possible. 1. INTRODUCTION The actual approach to welding of high strength low allow (HSLA) steels recommends in some cases preheating and welding by electrodes, which produce higher yield strength of weld metal compared to parent metal. Preheating reduces the cold cracking susceptibility and overmatching has a protective effect, preventing growth of planar cracks or other defects in a weldment (N.Gubeljak, 1999). Anyhow, welding of HSLA steels with yield strength above 700 MPa is questionable, because it is difficult to produce electrode that provides high toughness and protective effect regarding crack initiation and growth in a weldment. According this, it is necessary to investigate fracture behaviour of such produced welded joints, particularly in the case of limited ability of deviation (f.e. constraint is greater in the case of three point bending than in tension mode of loading). The shape of weld gap can also play significant influence on increasing of constraint, so X-grooved welded joint may be a barrier (R.J.Dexter, 1996) to the further plastic flow, because a locally overmatched HAZ may act as a barrier against plastic deformation in the base metal. Therefore, the most critical fracture behaviour of specimens with crack tip in HAZ can be expected (C.Thaulow and M.Toyoda, 1996). The examinations of standard fracture mechanics specimens are very expensive in the rule and require appropriate equipment and qualified staff. In the other hand, the numerical simulation of the fracture investigation is cheaper and asked just one computer or workstation with installed some finite elements package and expert with experience in modelling of fracture problems. The many of today used numerical conventional programs (e.i. ABAQUS, IDEAS, NISA, ANSYS etc.) are applied to evaluate fracture mechanics parameters. The aim of this paper is to mark difficulties by numerical modelling of strength mismatched welded joints with crack-tip in HAZ and to propose the procedure for the valid determination of fracture behaviour. 2. THE EXPERIMENTAL RESULTS HSLA steel NIONICRAL 70A, corresponding to grade HT80 produced by Steelworks Jesenice - Slovenia as the base metal (BM) has been chosen. Welding was done on plate samples (500x250x40 mm) by Flux Cored Arc Welding (FCAW) process (CO2 shield gas) producing one overmatched (Weltec B 800 electrode) homogenous multipass X-grooved welded joint. Round tensile specimens (5mm) extracted from a real welded plate for the determination of mechanical properties of BM and weld metal region was used. It is very important to get true stress-strain curves for both materials because these data have a great influence on the later numerical simulation accuracy. True stress-strains diagrams for BM, weld metal and metal of HAZ on the Fig. 1 are given: Fig. 1 True stress-strain diagrams for BM, weld metal and HAZ metal The most difficult to achieve is correct determination of HAZ behaviour. One of the possible approaches is to transform data of measured microhardness to the strength properties by correlated formulae (N. Gubeljak, 1998):  where Rp0.2 [MPa] is yield strength, Rm [MPa] is ultimate strength, HV0.1 is Vickers microhardness and n is strain hardening coefficient related to (t8/5 [s]:  Assessment of the effect of different microstructures on fracture behaviour was obtained by positioning of the pre-crack in HAZ. Standard BxB (B=W=36 mm) single edge notched bend (SENB) specimens (a0/W=0,29) with surface notch tip completely in the HAZ were fatigue pre-cracked from the surface up to HAZ, Fig. 2. The crack front was located 5 mm distant from the symmetry of welded joint. During the test, the load F, load line displacement LLD, crack-tip opening displacement CTOD ((5) and crack mouth opening displacement (CMOD) were recorded. Measuring points are marked on specimen surface, Fig. 3. Experimentally obtained values will be compared with finite element results assessing accuracy of proposed numerical procedure.  EMBED Word.Picture.6  Fig. 2 Location of fatigue pre-crack tip  Fig. 3 Three point bending specimen and measuring points (CMOD, CTOD ((5)) 3. THE NUMERICAL MODELLING OF SPECIMEN Considering the aim of this paper finite element model of evaluated specimen by FEM commercial package ANSYS 5.3 was prepared. The 2-D front of model was build up by  down to top technique. This means that first key points of three weldment zones (weld metal, 1,5 mm thick HAZ and base metal) must be defined. Further, these key points are connected with lines, which make the geometry of fracture model (Fig. 4).  EMBED Word.Picture.8 Fig. 4 Geometry of model drawn from lines The stress-strain curves introduced in the finite element code as a set of numerical data, are the true stress strain curves drawn from the tensile tests previously presented. For different zones of weldment appropriate set of material data was associated. The most important in a fracture model is the region around the edge of the crack. Crack-tip located in the HAZ as the stress concentration was generated with eight singular circumferential elements in the first row. For reasonable results, the first row of elements around the crack tip should have a radius of 50 (m (C. Ruggieri et all, 1996). The model was discretisate by so called  free meshing technique with 8-node second-order isoparametric elements. The finite element model shown on the Fig. 5 consist from 1113 elements and 3402 nodes. Enlarged detail of fine mesh around crack-tip on the Fig. 6 is presented. Fig. 5 Finite element model of fracture specimen with crack-tip in the HAZ     Fig. 6 Detail of singular collapsed elements around crack-tip At the surface of specimen nodes are specified, which correspond to measure points for LLD, (5 and CMOD. Elastic plastic finite element calculations have been performed with incremental increasing of loading. As the yielding criteria von Mises equivalent stress was applied. 4. RESULTS AND DISCUSSION The fracture behaviour of specimen has been calculated with quasistatic increasing of load up to the point of experimental instability. Except calculated displacements at specified points and maximum equivalent stress, it is very useful to analyse stress-strain fields at surface of specimen at the moment of failure instability. Such analysis making possible to find out the reasons for collapse of structure, what is impossible just with experimental work (D. Kozak, 1998). The acceptable agreement between experimental and numerical values for displacements (LLD, (5 and CMOD) confirms proposed finite element model (Figs. 6 and 7). Actually, with FE results is possible to follow to curves obtained by experiment.  Fig. 6 The comparison between experimental and numerical results for LLD           Fig. 7 The comparison between experimental and numerical results for (5 and CMOD It is interesting to look at stress-strain condition at the moment of instability corresponds to ones at the moment of cleavage failure initiation on testing specimen. The observations of equivalent von Mises stress field at maximal load (117 kN) show that fracture appears although the utility of plastic flow in weld gap is not finished (Fig. 7).  Fig. 7 Von Mises equivalent stress field at the moment of instability failure 5. CONCLUSIONS Performed finite element analysis of weldment with crack-tip located in the HAZ are exhibiting understand good agreement between FE calculated displacements and experimental measured values. Also the stress-strain condition at the crack tip can be numerical calculated and realistic presented in the moment of failure instability. Considering the previous work is evident that used finite element calculation procedure is appropriate not just for mismatching welded joints with crack-tip in the weld metal but also with crack-tip in the HAZ. Analysing the results it can be concluded that the shape and width of weld joint are strongly effected by constraint effect in the weld joint. In the case of a locally overmatched HAZ with respect to the weld metal, the HAZ will act an barrier against plastic deformation in the base metal. Because of HAZ, following the shape of weld gap, the initiation of instability began as the contour of plastic flow comes to near fusion line. It seems that instability fracture began when the utility of plastic flow in weld gap is finished. 6. ACKNOWLEDGMENT This investigation was performed under joint Croatian-Slovenian project, conducted by the Mechanical Engineering Faculty, Slavonski Brod and Faculty of Mechanical Engineering, Maribor. The work was supported too by stimulated grants for young scientists from Ministry of Science and Technology of Republic of Croatia Nr. 152-504. The author acknowledges many useful discussions and contributions of Prof. Dr. I. Rak, Prof. Dr. F. Mateji ek and Dr. N. Gubeljak. 7. LITERATURE /1/ Fracture Behaviour of Specimens with Surface Notch Tip in the Heat Affected Zone (HAZ) of Strength Mis-Matched Welded Joints, to be published in International Journal of Fracture /2/ Significance of Strength Undermatching of Welds in Structural Behaviour, IIW Doc. X-F-042-96 /3/ Strength Mis-Match Effect on Fracture Behaviour of HAZ, 2nd International Symposium on Mis-Matching of Welds, Reinstorf-Lneburg /4/ The Effect of Strength Mis-Match on Welded Joint Fracture Behaviour, Dissertation, University of Maribor /5/ Numerical Modelling of Ductile Crack Growth in 3-D using Computational Cell Elements, International Journal of Fracture 82, pp. 67-95 /6/ Modified numerical modelling of Fracture Behaviour of Weld Joint in Ductile-to-Brittle Temperature Transition Region, KOVINE ZLITINE TEHNOLOGIJE, Vol. 82, No. 5, pp. 337-342  PAGE 8 M.Sc.Mech.Eng. D. Kozak Finite element model of welded joint with crack-tip in heat affected zone  PAGE 7  Opatija, 1999. 5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING CIM  99 Published by: R.Cebalo & H. Schulz Ed.5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING  CIM  99Croatian Association of Production Engineering, Zagreb 1999.  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  F 4(W B CMODD a W=B=36 d5 0 1,5mm Crack-tip Base metal HAZ Crack-tip located in the HAZ Weld metal 20 40 60 80 100 120 LLD, mm 0,2 0,4 0,6 0,8 1,0 1,2 F, kN Exp. results FEM results FEM results Exp. results F, kN 0,36 0,12 0,24 0,09 0,06 0,03 (5, mm 120 100 80 60 40 20 0 0 CMOD, mm <>XZԿ |8<JLTfhjp|~>HJLN>@npj b>6 CJUVmH6CJj6CJU jd6CJOJQJmH  jDCJOJQJmH jCJOJQJUmHCJH*OJQJmH 6CJOJQJmH 5CJOJQJmH 5CJ OJQJmH CJOJQJmH CJ OJQJmH 5ҿԿ |8> $d@ p# $d@ p# $d@ p#>|:<>vx $d@ p# $d@ p# $d@ p#prtxxz|JLNPT$&(*,046<NPVΞ咅yl_jaCJOJQJUmH j=CJOJQJUmH  jmCJOJQJmH j71CJOJQJUmH j >6 CJUVmHjCJOJQJUmH 5CJOJQJmH 6CJH*OJQJmH  jd6CJOJQJmH jCJOJQJUmH6CJOJQJmH CJOJQJmH j6CJUj` 6CJU%RT(,248:<R $$l" $d@$ p# $d@ p# $d@ p#RTV02 $d@ p# $d@ p#"$$l"V.02246:LPXZxߦ쾙j"CJOJQJUmH 6CJH*OJQJmH 56CJOJQJmH jCJOJQJUmH5CJOJQJmH CJH*OJQJmH  jd6CJOJQJmH CJOJQJmH 6CJOJQJmH <48 $d@ p# $d@ p#8:NPZ\z2 $$Tl" $d@$ p# $d@ p# $d@ p#8,TB 6 c $D1,TB 7 c $D*,TB 8 c $D!*Z 9 S 29U* 2Z : S 1:O* 1Z ; S 0;:* 0Z < S /<4* /Z = S .=0* .Z > S ->%* -Z ? S ,?* ,N%uBVk !@Y3|px}KJAjt(B(nl!YPLT4^@</"p#k .1C3SwU#  q=ī( (eB0/KN>3I׫k=\g11YجwkDSC% wx4洪=âbeѫRQ(J\;Bj$ZG돹h=K"g.X K˞p8brK[25qk~_|{m)|O`_)Y>^|d^#GI~۲Q='䫝a(|]5e FINITE ELEMENT MODEL OF WELDED JOINT WITH CRACK-TIP IN THE HEAT AFFECTED ZONE Dra~an Kozak M.Sc.Mech.Eng. D. Kozak, University of Osijek, Mechanical Engineering Faculty, Trg I.B.Ma~urani 18, HR-35000 Slavonski Brod, Croatia, E-mail: dkozak@brod.sfsb.hr Keywords: high strength steels, welded joint, strength mismatching, finite element method, crack, fracture mechanics ABSTRACT The possibility of failure of welded structures is depending on fracture mechanics properties of weld joints. The aim of this paper was to determine appropriate numerical model to simulate the experimental evaluation of fracture mechanics specimens. To this purpose, standard BxB single edge notch bend (SENB) three points bend (TPB) specimens made with surface notch tip in the heat affected zone (HAZ) were applied. The X-grooved welded joint is homogenous with the strength higher then base material (overmatching). The comparison between numerical and known experimental results is done by using measured values of fracture behaviour as are crack tip opening displacement (CTOD), load line displacement (LLD) and crack mouth opening displacement (CMOD). The finite elements results shown that using of described numerical procedure for threshold determination of safe load for real welded different structures is possible. 1. INTRODUCTION The actual approach to welding of high strength low allow (HSLA) steels recommends in some cases preheating and welding by electrodes, which produce higher yield strength of weld metal compared to parent metal. Preheating reduces the cold cracking susceptibility and overmatching has a protective effect, preventing growth of planar cracks or other defects in a weldment (N.Gubeljak, 1999). Anyhow, welding of HSLA steels with yield strength above 700 MPa is questionable, because it is difficult to produce eIܢNƣ2|ĩ:5tD:Qg&te瘵 XTNN>KQk2.?w"UɘbK>( bapB~\LpJ`خDn@ݡt:n;gtr[8%p]s.W`Ğb5O7t]|K?} S[P,ďb5}ntSIh֓'IC)Kn wQI%R)7\Uܵưx""QC^{ *ٝNlh% :/PW7@\XZԭ ܯޯ|8<JLTƶʶжfhj¸̸̸䮤䮤䮤 jDCJOJQJmH jCJOJQJUmHCJH*OJQJmH 6CJOJQJmH 5CJOJQJmH 5CJ OJQJmH CJ OJQJmH 5CJOJQJmH CJ mHCJOJQJmH 6CJOJQJmHCJOJQJmH624344454<>XZ $d@ p#$ p#$vd@ p#$ p# $d@ p# d@ p# $d@ p#N%uBVk !@Y3|px}KJAjt(B(nl!YPLT4^@</"p#k .1C3SwU#  q=ī( (eB0/KN>3I׫k=\g11YجwkDSC% wx4洪=âbeѫRQ(J\;Bj$ZG돹h=K"g.X K˞p8brK[25qk~_|{m)|O`_)Y>^|d^#GI~۲Q='䫝a(|]5e FINITE ELEMENT MODEL OF WELDED JOINT WITH CRACK-TIP IN THE HEAT AFFECTED ZONE Dra~an Kozak M.Sc.Mech.Eng. D. Kozak, University of Osijek, Mechanical Engineering Faculty, Trg I.B.Ma~urani 18, HR-35000 Slavonski Brod, Croatia, E-mail: dkozak@brod.sfsb.hr Keywords: high strength steels, welded joint, strength mismatching, finite element method, crack, fracture mechanics ABSTRACT The possibility of failure of welded structures is depending on fracture mechanics properties of weld joints. The aim of this paper was to determine appropriate numerical model to simulate the experimental evaluation of fracture mechanics specimens. To this purpose, standard BxB single edge notch bend (SENB) three points bend (TPB) specimens made with surface notch tip in the heat affected zone (HAZ) were applied. The X-grooved welded joint is homogenous with the strength higher then base material (overmatching). The comparison between numerical and known experimental results is done by using measured values of fracture behaviour as are crack tip opening displacement (CTOD), load line displacement (LLD) and crack mouth opening displacement (CMOD). The finite elements results shown that using of described numerical procedure for threshold determination of safe load for real welded different structures is possible. 1. INTRODUCTION The actual approach to welding of high strength low allow (HSLA) steels recommends in some cases preheating and welding by electrodes, which produce higher yield strength of weld metal compared to parent metal. Preheating reduces the cold cracking susceptibility and overmatching has a protective effect, preventing growth of planar cracks or other defects in a weldment (N.Gubeljak, 1999). Anyhow, welding of HSLA steels with yield strength above 700 MPa is questionable, because it is difficult to produce electrode that provides high toughness and protective effect regarding crack initiation and growth in a weldment. According this, it is necessary to investigate fracture behaviour of such produced welded joints, particularly in the case of limited ability of deviation (f.e. constraint is greater in the case of three point bending than in tension mode of loading). The shape of weld gap can also play significant influence on increasing of constraint, so X-grooved welded joint may be a barrier (R.J.Dexter, 1996) to the further plastic flow, because a locally overmatched HAZ may act as a barrier against plastic deformation in the base metal. Therefore, the most critical fracture behaviour of specimens with crack tip in HAZ can be expected (C.Thaulow and M.Toyoda, 1996). The examinations of standard fracture mechanics specimens are very expensive in the rule and require appropriate equipment and qualified staff. In the other hand, the numerical simulation of the fracture investigation is cheaper and asked just one computer or workstation with installed some finite elements package and expert with experience in modelling of fracture problems. The many of today used numerical conventional programs (e.i. ABAQUS, IDEAS, NISA, ANSYS etc.) are applied to evaluate fracture mechanics parameters. The aim of this paper is to mark difficulties by numerical modelling of strength mismatched welded joints with crack-tip in HAZ and to propose the procedure for the valid determination of fracture behaviour. 2. THE EXPERIMENTAL RESULTS HSLA steel NIONICRAL 70A, corresponding to grade HT80 produced by Steelworks Jesenice - Slovenia as the base metal (BM) has been chosen. Welding was done on plate samples (500x250x40 mm) by Flux Cored Arc Welding (FCAW) process (CO2 shield gas) producing one overmatched (Weltec B 800 electrode) homogenous multipass X-grooved welded joint. Round tensile specimens (5mm) extracted from a real welded plate for the determination of mechanical properties of BM and weld metal region was used. It is very important to get true stress-strain curves for both materials because these data have a great influence on the later numerical simulation accuracy. True stress-strains diagrams for BM, weld metal and metal of HAZ on the Fig. 1 are given: Fig. 1 True stress-strain diagrams for BM, weld metal and HAZ metal The most difficult to achieve is correct determination of HAZ behaviour. One of the possible approaches is to transform data of measured microhardness to the strength properties by correlated formulae (N. Gubeljak, 1998):  where Rp0.2 [MPa] is yield strength, Rm [MPa] is ultimate strength, HV0.1 is Vickers microhardness and n is strain hardening coefficient related to (t8/5 [s]:  Assessment of the effect of different microstructures on fracture behaviour was obtained by positioning of the pre-crack in HAZ. Standard BxB (B=W=36 mm) single edge notched bend (SENB) specimens (a0/W=0,29) with surface notch tip completely in the HAZ were fatigue pre-cracked from the surface up to HAZ, Fig. 2. The crack front was located 5 mm distant from the symmetry of welded joint. During the test, the load F, load line displacement LLD, crack-tip opening displacement CTOD ((5) and crack mouth opening displacement (CMOD) were recorded. Measuring points are marked on specimen surface, Fig. 3. Experimentally obtained values will be compared with finite element results assessing accuracy of proposed numerical procedure.  EMBED Word.Picture.6  Fig. 2 Location of fatigue pre-crack tip  Fig. 3 Three point bending specimen and measuring points (CMOD, CTOD ((5)) 3. THE NUMERICAL MODELLING OF SPECIMEN Considering the aim of this paper finite element model of evaluated specimen by FEM commercial package ANSYS 5.3 was prepared. The 2-D front of model was build up by  down to top technique. This means that first key points of three weldment zones (weld metal, 1,5 mm thick HAZ and base metal) must be defined. Further, these key points are connected with lines, which make the geometry of fracture model (Fig. 4).  EMBED Word.Picture.8 Fig. 4 Geometry of model drawn from lines The stress-strain curves introduced in the finite element code as a set of numerical data, are the true stress strain curves drawn from the tensile tests previously presented. For different zones of weldment appropriate set of material data was associated. The most important in a fracture model is the region around the edge of the crack. Crack-tip located in the HAZ as the stress concentration was generated with eight singular circumferential elements in the first row. For reasonable results, the first row of elements around the crack tip should have a radius of 50 (m (C. Ruggieri et all, 1996). The model was discretisate by so called  free meshing technique with 8-node second-order isoparametric elements. The finite element model shown on the Fig. 5 consist from 1113 elements and 3402 nodes. Enlarged detail of fine mesh around crack-tip on the Fig. 6 is presented. Fig. 5 Finite element model of fracture specimen with crack-tip in the HAZ     Fig. 6 Detail of singular collapsed elements around crack-tip At the surface of specimen nodes are specified, which correspond to measure points for LLD, (5 and CMOD. Elastic plastic finite element calculations have been performed with incremental increasing of loading. As the yielding criteria von Mises equivalent stress was applied. 4. RESULTS AND DISCUSSION The fracture behaviour of specimen has been calculated with quasistatic increasing of load up to the point of experimental instability. Except calculated displacements at specified points and maximum equivalent stress, it is very useful to analyse stress-strain fields at surface of specimen at the moment of failure instability. Such analysis making possible to find out the reasons for collapse of structure, what is impossible just with experimental work (D. Kozak, 1998). The acceptable agreement between experimental and numerical values for displacements (LLD, (5 and CMOD) confirms proposed finite element model (Figs. 6 and 7). Actually, with FE results is possible to follow to curves obtained by experiment.  Fig. 6 The comparison between experimental and numerical results for LLD           Fig. 7 The comparison between experimental and numerical results for (5 and CMOD It is interesting to look at stress-strain condition at the moment of instability corresponds to ones at the moment of cleavage failure initiation on testing specimen. The observations of equivalent von Mises stress field at maximal load (117 kN) show that fracture appears although the utility of plastic flow in weld gap is not finished (Fig. 7).  Fig. 7 Von Mises equivalent stress field at the moment of instability failure 5. CONCLUSIONS Performed finite element analysis of weldment with crack-tip located in the HAZ are exhibiting understand good agreement between FE calculated displacements and experimental measured values. Also the stress-strain condition at the crack tip can be determined in the moment of failure instability. Considering the previous work is evident that used finite element calculation procedure is appropriate not just for mismatching welded joints with crack-tip in the weld metal but also with crack-tip in the HAZ. Analysing the results it can be concluded that the shape and width of weld joint 6. ACKNOWLEDGMENT This investigation was performed under joint Croatian-Slovenian project, conducted by the Mechanical Engineering Faculty, Slavonski Brod and Faculty of Mechanical Engineering, Maribor. The work was supported too by stimulated grants for young scientists from Ministry of Science and Technology of Republic of Croatia Nr. 152-504. The author acknowledges many useful discussions and contributions of Prof. Dr. I. Rak, Prof. Dr. F. Mateji ek and Dr. N. Gubeljak. 7. LITERATURE /1/ Fracture Behaviour of Specimens with Surface Notch Tip in the Heat Affected Zone (HAZ) of Strength Mis-Matched Welded Joints, to be published in International Journal of Fracture /2/ Significance of Strength Undermatching of Welds in Structural Behaviour, IIW Doc. X-F-042-96 /3/ Strength Mis-Match Effect on Fracture Behaviour of HAZ, 2nd International Symposium on Mis-Matching of Welds, Reinstorf-Lneburg /4/ The Effect of Strength Mis-Match on Welded Joint Fracture Behaviour, Dissertation, University of Maribor /5/ Numerical Modelling of Ductile Crack Growth in 3-D using Computational Cell Elements, International Journal of Fracture 82, pp. 67-95 /6/ Modified numerical modelling of Fracture Behaviour of Weld Joint in Ductile-to-Brittle Temperature Transition Region, KOVINE ZLITINE TEHNOLOGIJE, Vol. 82, No. 5, pp. 337-342  PAGE 8 M.Sc.Mech.Eng. D. Kozak Finite element model of welded joint with crack-tip in heat affected zone  PAGE 7  Opatija, 1999. 5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING CIM  99 Published by: R.Cebalo & H. Schulz Ed.5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING  CIM  99Croatian Association of Production Engineering, Zagreb 1999.  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  F 4(W B CMODD a W=B=36 d5 0 1,5mm Crack-tip Base metal HAZ Crack-tip located in the HAZ Weld metal 20 40 60 80 100 120 LLD, mm 0,2 0,4 0,6 0,8 1,0 1,2 F, kN Exp. results FEM results FEM results Exp. results F, kN 0,36 0,12 0,24 0,09 0,06 0,03 (5, mm 120 100 80 60 40 20 0 0 CMOD, mm ҭԭ سڳܳ޳|8>| $d@ p# $d@ p# $d@ p#jp|~ºĺ>HJLN>@nprtxʽνнԽxz|оJLNPT쿻Ț߃wjjCJOJQJUmH j >6 CJUVmHjCJOJQJUmH 5CJOJQJmH 6CJH*OJQJmH j 6CJUj b>6 CJUVmH6CJj6CJU jd6CJOJQJmH 6CJOJQJmH jCJOJQJUmHCJOJQJmH CJH*OJQJmH ):<>vxʽ̽νҽԽֽؽڽܽ޽ $d@ p# $d@ p# $d@ p#ҾRT(,248:<R $$l" $d@$ p# $d@ p# $d@ p#T$&(*,046<NPV.02ƹ쬢쬢56CJOJQJmH 5CJOJQJmH CJH*OJQJmH  jd6CJOJQJmH jwCJOJQJUmH jCJOJQJUmHjACJOJQJUmH  jmCJOJQJmH CJOJQJmH 6CJOJQJmH 7RTV02 $d@ p# $d@ p#"$$l"48 $d@ p# $d@ p#246:LPXZx<ߺߺ錃xoxolmHCJOJQJmH0JCJOJQJmH0JCJOJQJj0JCJOJQJUCJH*OJQJmH 5CJOJQJmH jBCJOJQJUmH 56CJOJQJmH 6CJH*OJQJmH  jd6CJOJQJmH 6CJOJQJmH CJOJQJmH jCJOJQJUmH*8:NPZ\zt>h*4 $$Tl" $d@$ p# $d@ p# $d@ p#Y M7x0f7[I2 ߶3*j"R7T xvlX2I m鳑6hː1/Ӗ>cA+sPHet5y)2i?ȝX!6ilCC;h*3Зx ?+F_CzS[7BqS]:twK(6!? j?"=4J[kb7Viսi>(X;lcP[d>1F]wu#hh-}%2m!HLْ9W EN-#*O"Oh+q:ѝ Nxikzd<DF>Y%* ;/. 7;YgzK|Bv"{?F^Qݞ5@fU%ڬ6ՖP:mQQe:VA9~Zǹ/~ϧhDK-x*YOU5xjēUG9SMj!P{1_ĸt*.W]U5kOJT}wUļyڅVIG{xs+q! ǻݹ;KY b_u^+j̓g@#qsMq2THR1ԯP)38NùVymE1 H%hXAH"y}VtYkHm-背P٣J)뷡O=[P_{ArM,`|0cQ.|لSgMʣKӡȑ6͛ycU r\ƺ<7^i`>h@+nF,.;BNbmК@sK[0[,nəܔ-lectrode that provides high toughness and protective effect regarding crack initiation and growth in a weldment. According this, it is necessary to investigate fracture behaviour of such produced welded joints, particularly in the case of limited ability of deviation (f.e. constraint is greater in the case of three point bending than in tension mode of loading). The shape of weld gap can also play significant influence on increasing of constraint, so X-grooved welded joint may be a barrier (R.J.Dexter, 1996) to the further plastic flow, because a locally overmatched HAZ may act as a barrier against plastic deformation in the base metal. Therefore, the most critical fracture behaviour of specimens with crack tip in HAZ can be expected (C.Thaulow and M.Toyoda, 1996). The examinations of standard fracture mechanics specimens are very expensive in the rule and require appropriate equipment and qualified staff. In the other hand, the numerical simulation of the fracture investigation is cheaper and asked just one computer or workstation with installed some finite elements package and expert with experience in modelling of fracture problems. The many of today used numerical conventional programs (e.i. ABAQUS, IDEAS, NISA, ANSYS etc.) are applied to evaluate fracture mechanics parameters. The aim of this paper is to mark difficulties by numerical modelling of strength mismatched welded joints with crack-tip in HAZ and to propose the procedure for the valid determination of fracture behaviour. 2. THE EXPERIMENTAL RESULTS HSLA steel NIONICRAL 70A, corresponding to grade HT80 produced by Steelworks Jesenice - Slovenia as the base metal (BM) has been chosen. Welding was done on plate samples (500x250x40 mm) by Flux Cored Arc Welding (FCAW) process (CO2 shield gas) producing one overmatched (Weltec B 800 electrode) homogenous multipass X-grooved welded joint. Round tensile specimens (5mm) extracted from a real welded plate for the determination of mechanical properties of BM and weld metal region was used. It is very important to get true stress-strain curves for both materials because these data have a great influence on the later numerical simulation accuracy. True stress-strains diagrams for BM, weld metal and metal of HAZ on the Fig. 1 are given: Fig. 1 True stress-strain diagrams for BM, weld metal and HAZ metal The most difficult to achieve is correct determination of HAZ behaviour. One of the possible approaches is to transform data of measured microhardness to the strength properties by correlated formulae (N. Gubeljak, 1998):  where Rp0.2 [MPa] is yield strength, Rm [MPa] is ultimate strength, HV0.1 is Vickers microhardness and n is strain hardening coefficient related to (t8/5 [s]:  Assessment of the effect of different microstructures on fracture behaviour was obtained by positioning of the pre-crack in HAZ. Standard BxB (B=W=36 mm) single edge notched bend (SENB) specimens (a0/W=0,29) with surface notch tip completely in the HAZ were fatigue pre-cracked from the surface up to HAZ, Fig. 2. The crack front was located 5 mm distant from the symmetry of welded joint. During the test, the load F, load line displacement LLD, crack-tip opening displacement CTOD ((5) and crack mouth opening displacement (CMOD) were recorded. Measuring points are marked on specimen surface, Fig. 3. Experimentally obtained values will be compared with finite element results assessing accuracy of proposed numerical procedure.  EMBED Word.Picture.6  Fig. 2 Location of fatigue pre-crack tip  Fig. 3 Three point bending specimen and measuring points (CMOD, CTOD ((5)) 3. THE NUMERICAL MODELLING OF SPECIMEN Considering the aim of this paper finite element model of evaluated specimen by FEM commercial package ANSYS 5.3 was prepared. The 2-D front of model was build up by  down to top technique. This means that first key points of three weldment zones (weld metal, 1,5 mm thick HAZ and base metal) must be defined. Further, these key points are connected with lines, which make the geometry of fracture model (Fig. 4).  EMBED Word.Picture.8 Fig. 4 Geometry of model drawn from lines The stress-strain curves introduced in the finite element code as a set of numerical data, are the true stress strain curves drawn from the tensile tests previously presented. For different zones of weldment appropriate set of material data was associated. The most important in a fracture model is the region around the edge of the crack. Crack-tip located in the HAZ as the stress concentration was generated with eight singular circumferential elements in the first row. For reasonable results, the first row of elements around the crack tip should have a radius of 50 (m (C. Ruggieri et all, 1996). The model was discretisate by so called  free meshing technique with 8-node second-order isoparametric elements. The finite element model shown on the Fig. 5 consist from 1113 elements and 3402 nodes. Enlarged detail of fine mesh around crack-tip on the Fig. 6 is presented. Fig. 5 Finite element model of fracture specimen with crack-tip in the HAZ     Fig. 6 Detail of singular collapsed elements around crack-tip At the surface of specimen nodes are specified, which correspond to measure points for LLD, (5 and CMOD. Elastic plastic finite element calculations have been performed with incremental increasing of loading. As the yielding criteria von Mises equivalent stress was applied. 4. RESULTS AND DISCUSSION The fracture behaviour of specimen has been calculated with quasistatic increasing of load up to the point of experimental instability. Except calculated displacements at specified points and maximum equivalent stress, it is very useful to analyse stress-strain fields at surface of specimen at the moment of failure instability. Such analysis making possible to find out the reasons for collapse of structure, what is impossible just with experimental work (D. Kozak, 1998). The acceptable agreement between experimental and numerical values for displacements (LLD, (5 and CMOD) confirms proposed finite element model (Figs. 6 and 7). Actually, with FE results is possible to follow to curves obtained by experiment.  Fig. 6 The comparison between experimental and numerical results for LLD           Fig. 7 The comparison between experimental and numerical results for (5 and CMOD It is interesting to look at stress-strain condition at the moment of instability corresponds to ones at the moment of cleavage failure initiation on testing specimen. The observations of equivalent von Mises stress field at maximal load (117 kN) show that fracture appears although the utility of plastic flow in weld gap is not finished (Fig. 7).  Fig. 7 Von Mises equivalent stress field at the moment of instability failure 5. CONCLUSIONS Performed finite element analysis of weldment with crack-tip located in the HAZ are exhibiting understand good agreement between FE calculated displacements and experimental measured values. Also the stress-strain condition at the crack tip can be numerical calculated and realistic presented in the moment of failure instability. Considering the previous work is evident that used finite element calculation procedure is appropriate not just for mismatching welded joints with crack-tip in the weld metal but also with crack-tip in the HAZ. Analysing the results it can be concluded that the shape and width of weld joint are strongly effected by constraint effect in the weld joint. In the case of a locally overmatched HAZ with respect to the weld metal, the HAZ will act an barrier against plastic deformation in the base metal. Because of HAZ, following the shape of weld gap, the initiation of instability began when the contour of plastic flow comes to near fusion line. It seems that unstable fracture occur when the utility of plastic flow in weld gap is finished. 6. ACKNOWLEDGMENT This investigation was performed under joint Croatian-Slovenian project, conducted by the Mechanical Engineering Faculty, Slavonski Brod and Faculty of Mechanical Engineering, Maribor. The work was supported too by stimulated grants for young scientists of Ministry of Science and Technology of Republic of Croatia Nr. 152-504. The author acknowledges many useful discussions and contributions of Prof. Dr. I. Rak, Prof. Dr. F. Mateji ek and Dr. N. Gubeljak. 7. LITERATURE /1/ Fracture Behaviour of Specimens with Surface Notch Tip in the Heat Affected Zone (HAZ) of Strength Mis-Matched Welded Joints, to be published in the International Journal of Fracture /2/ Significance of Strength Undermatching of Welds in Structural Behaviour, IIW Doc. X-F-042-96 /3/ Strength Mis-Match Effect on Fracture Behaviour of HAZ, 2nd International Symposium on Mis-Matching of Welds, Reinstorf-Lneburg /4/ The Effect of Strength Mis-Match on Welded Joint Fracture Behaviour, Dissertation, University of Maribor /5/ Numerical Modelling of Ductile Crack Growth in 3-D using Computational Cell Elements, International Journal of Fracture 82, pp. 67-95 /6/ Modified Numerical Modelling of Fracture Behaviour of Weld Joint in Ductile-to-Brittle Temperature Transition Region, KOVINE ZLITINE TEHNOLOGIJE, Vol. 82, No. 5, pp. 337-342  PAGE 8 M.Sc.Mech.Eng. D. Kozak Finite element model of welded joint with crack-tip in heat affected zone  PAGE 7  Opatija, 1999. 5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING CIM  99 Published by: R.Cebalo & H. Schulz Ed.5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING  CIM  99Croatian Association of Production Engineering, Zagreb 1999.  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  F 4(W B CMODD a W=B=36 d5 0 1,5mm Crack-tip Base metal HAZ Crack-tip located in the HAZ Weld metal 20 40 60 80 100 120 LLD, mm 0,2 0,4 0,6 0,8 1,0 1,2 F, kN Exp. results FEM results FEM results Exp. results F, kN 0,36 0,12 0,24 0,09 0,06 0,03 (5, mm 120 100 80 60 40 20 0 0 CMOD, mm  |8>| $d@ p# $d@ p# $d@ p#|8<JLTfhjp|~>HJLN>@nprtxxz|쳯⼎5CJOJQJmH 6CJH*OJQJmH jf6CJUj b>6 CJUVmH6CJj6CJU jd6CJOJQJmH  jDCJOJQJmH jCJOJQJUmH6CJOJQJmH CJOJQJmH CJH*OJQJmH 4|:<>vx $d@ p# $d@ p# $d@ p#RT(,248:<R $$l" $d@$ p# $d@ p# $d@ p#JLNPT$&(*,046<NPV.02Ơ頓|rr|5CJOJQJmH CJH*OJQJmH  jd6CJOJQJmH jCJOJQJUmH jCJOJQJUmHjCJOJQJUmH  jmCJOJQJmH 6CJOJQJmH jwCJOJQJUmH j >6 CJUVmHCJOJQJmH jCJOJQJUmH ,RTV02 $d@ p# $d@ p#"$$l"48 $d@ p# $d@ p#246:LPXZx   ptRT`bdfƺӭx0JCJOJQJmH0JCJOJQJj0JCJOJQJUCJH*OJQJmH 5CJOJQJmH jbCJOJQJUmH 6CJH*OJQJmH  jd6CJOJQJmH jCJOJQJUmHCJOJQJmH 56CJOJQJmH 6CJOJQJmH /8:NPZ\z    4 $$Tl" $d@$ p# $d@ p# $d@ p#T @ C +SB +Z A S *A\ *Z B S )B[ )Z C S (CZ (Z G S $G% $62 H  N#62 I  ?T62 J  5"62 K  /#62 L  )!62 M   3B N 3 MB O 3 >OB P N%uBVk !@Y3|px}KJAjt(B(nl!YPLT4^@</"p#k .1C3SwU#  q=ī( (eB0/KN>3I׫k=\g11YجwkDSC% wx4洪=âbeѫRQ(J\;Bj$ZG돹h=K"g.X K˞p8brK[25qk~_|{m)|O`_)Y>^|d^#GI~۲Q='䫝a(|]5e FINITE ELEMENT MODEL OF WELDED JOINT WITH CRACK-TIP IN THE HEAT AFFECTED ZONE Dra~an Kozak M.Sc.Mech.Eng. D. Kozak, University of Osijek, Mechanical Engineering Faculty, Trg I.B.Ma~urani 18, HR-35000 Slavonski Brod, Croatia, E-mail: dkozak@brod.sfsb.hr Keywords: high strength steels, welded joint, strength mismatching, finite element method, crack, fracture mechanics ABSTRACT The possibility of failure of welded structures is depending on fracture mechanics properties of weld joints. The aim of this paper was to determine appropriate numerical model to simulate the experimental evaluation of fracture mechanics specimens. To this purpose, standard BxB single edge notch bend (SENB) three points bend (TPB) specimens made with surface notch tip in the heat affected zone (HAZ) were applied. The X-grooved welded joint is homogenous with the strength higher then base material (overmatching). The comparison between numerical and known experimental results is done by using measured values of fracture behaviour as are crack tip opening displacement (CTOD), load line displacement (LLD) and crack mouth opening displacement (CMOD). The finite elements results shown that using of described numerical procedure for threshold determination of safe load for real welded different structures is possible. 1. INTRODUCTION The actual approach to welding of high strength low allow (HSLA) steels recommends in some cases preheating and welding by electrodes, which produce higher yield strength of weld metal compared to parent metal. Preheating reduces the cold cracking susceptibility and overmatching has a protective effect, preventing growth of planar cracks or other defects in a weldment (N.Gubeljak, 1999). Anyhow, welding of HSLA steels with yield strength above 700 MPa is questionable, because it is difficult to produce electrode that provides high toughness and protective effect regarding crack initiation and growth in a weldment. According this, it is necessary to investigate fracture behaviour of such produced welded joints, particularly in the case of limited ability of deviation (f.e. constraint is greater in the case of three point bending than in tension mode of loading). The shape of weld gap can also play significant influence on increasing of constraint, so X-grooved welded joint may be a barrier (R.J.Dexter, 1996) to the further plastic flow, because a locally overmatched HAZ may act as a barrier against plastic deformation in the base metal. Therefore, the most critical fracture behaviour of specimens with crack tip in HAZ can be expected (C.Thaulow and M.Toyoda, 1996). The examinations of standard fracture mechanics specimens are very expensive in the rule and require appropriate equipment and qualified staff. In the other hand, the numerical simulation of the fracture investigation is cheaper and asked just one computer or workstation with installed some finite elements package and expert with experience in modelling of fracture problems. The many of today used numerical conventional programs (e.i. ABAQUS, IDEAS, NISA, ANSYS etc.) are applied to evaluate fracture mechanics parameters. The aim of this paper is to mark difficulties by numerical modelling of strength mismatched welded joints with crack-tip in HAZ and to propose the procedure for the valid determination of fracture behaviour. 2. THE EXPERIMENTAL RESULTS HSLA steel NIONICRAL 70A, corresponding to grade HT80 produced by Steelworks Jesenice - Slovenia as the base metal (BM) has been chosen. Welding was done on plate samples (500x250x40 mm) by Flux Cored Arc Welding (FCAW) process (CO2 shield gas) producing one overmatched (Weltec B 800 electrode) homogenous multipass X-grooved welded joint. Round tensile specimens (5mm) extracted from a real welded plate for the determination of mechanical properties of BM and weld metal region was used. It is very important to get true stress-strain curves for both materials because these data have a great influence on the later numerical simulation accuracy. True stress-strains diagrams for BM, weld metal and metal of HAZ on the Fig. 1 are given: Fig. 1 True stress-strain diagrams for BM, weld metal and HAZ metal The most difficult to achieve is correct determination of HAZ behaviour. One of the possible approaches is to transform data of measured microhardness to the strength properties by correlated formulae (N. Gubeljak, 1998):  where Rp0.2 [MPa] is yield strength, Rm [MPa] is ultimate strength, HV0.1 is Vickers microhardness and n is strain hardening coefficient related to (t8/5 [s]:  Assessment of the effect of different microstructures on fracture behaviour was obtained by positioning of the pre-crack in HAZ. Standard BxB (B=W=36 mm) single edge notched bend (SENB) specimens (a0/W=0,29) with surface notch tip completely in the HAZ were fatigue pre-cracked from the surface up to HAZ, Fig. 2. The crack front was located 5 mm distant from the symmetry of welded joint. During the test, the load F, load line displacement LLD, crack-tip opening displacement CTOD ((5) and crack mouth opening displacement (CMOD) were recorded. Measuring points are marked on specimen surface, Fig. 3. Experimentally obtained values will be compared with finite element results assessing accuracy of proposed numerical procedure.  EMBED Word.Picture.6  Fig. 2 Location of fatigue pre-crack tip  Fig. 3 Three point bending specimen and measuring points (CMOD, CTOD ((5)) 3. THE NUMERICAL MODELLING OF SPECIMEN Considering the aim of this paper finite element model of evaluated specimen by FEM commercial package ANSYS 5.3 was prepared. The 2-D front of model was build up by  down to top technique. This means that first key points of three weldment zones (weld metal, 1,5 mm thick HAZ and base metal) must be defined. Further, these key points are connected with lines, which make the geometry of fracture model (Fig. 4).  EMBED Word.Picture.8 Fig. 4 Geometry of model drawn from lines The stress-strain curves introduced in the finite element code as a set of numerical data, are the true stress strain curves drawn from the tensile tests previously presented. For different zones of weldment appropriate set of material data was associated. The most important in a fracture model is the region around the edge of the crack. Crack-tip located in the HAZ as the stress concentration was generated with eight singular circumferential elements in the first row. For reasonable results, the first row of elements around the crack tip should have a radius of 50 (m (C. Ruggieri et all, 1996). The model was discretisate by so called  free meshing technique with 8-node second-order isoparametric elements. The finite element model shown on the Fig. 5 consist from 1113 elements and 3402 nodes. Enlarged detail of fine mesh around crack-tip on the Fig. 6 is presented. Fig. 5 Finite element model of fracture specimen with crack-tip in the HAZ     Fig. 6 Detail of singular collapsed elements around crack-tip At the surface of specimen nodes are specified, which correspond to measure points for LLD, (5 and CMOD. Elastic plastic finite element calculations have been performed with incremental increasing of loading. As the yielding criteria von Mises equivalent stress was applied. 4. RESULTS AND DISCUSSION The fracture behaviour of specimen has been calculated with quasistatic increasing of load up to the point of experimental instability. Except calculated displacements at specified points and maximum equivalent stress, it is very useful to analyse stress-strain fields at surface of specimen at the moment of failure instability. Such analysis making possible to find out the reasons for collapse of structure, what is impossible just with experimental work (D. Kozak, 1998). The acceptable agreement between experimental and numerical values for displacements (LLD, (5 and CMOD) confirms proposed finite element model (Figs. 6 and 7). Actually, with FE results is possible to follow to curves obtained by experiment.  Fig. 6 The comparison between experimental and numerical results for LLD                Fig. 7 The comparison between experimental and numerical results for (5 and CMOD It is interesting to look at stress-strain condition at the moment of instability corresponds to ones at the moment of cleavage failure initiation on testing specimen. The observations of equivalent von Mises stress field at maximal load (117 kN) show that fracture appears although the utility of plastic flow in weld gap is not finished (Fig. 7).  Fig. 7 Von Mises equivalent stress field at the moment of instability failure 5. CONCLUSIONS Performed finite element analysis of weldment with crack-tip located in the HAZ are exhibiting understand good agreement between FE calculated displacements and experimental measured values. Also the stress-strain condition at the crack tip can be numerical calculated and realistic presented in the moment of failure instability. Considering the previous work is evident that used finite element calculation procedure is appropriate not just for mismatching welded joints with crack-tip in the weld metal but also with crack-tip in the HAZ. Analysing the results it can be concluded that the shape and width of weld joint are strongly effected by constraint effect in the weld joint. In the case of a locally overmatched HAZ with respect to the weld metal, the HAZ will act an barrier against plastic deformation in the base metal. Because of HAZ, following the shape of weld gap, the initiation of instability began when the contour of plastic flow comes to near fusion line. It seems that unstable fracture occur when the utility of plastic flow in weld gap is finished. 6. ACKNOWLEDGMENT This investigation was performed under joint Croatian-Slovenian project, conducted by the Mechanical Engineering Faculty, Slavonski Brod and Faculty of Mechanical Engineering, Maribor. The work was supported too by stimulated grants for young scientists of Ministry of Science and Technology of Republic of Croatia Nr. 152-504. The author acknowledges many useful discussions and contributions of Prof. Dr. I. Rak, Prof. Dr. F. Mateji ek and Dr. N. Gubeljak. 7. LITERATURE /1/ Fracture Behaviour of Specimens with Surface Notch Tip in the Heat Affected Zone (HAZ) of Strength Mis-Matched Welded Joints, to be published in the International Journal of Fracture /2/ Significance of Strength Undermatching of Welds in Structural Behaviour, IIW Doc. X-F-042-96 /3/ Strength Mis-Match Effect on Fracture Behaviour of HAZ, 2nd International Symposium on Mis-Matching of Welds, Reinstorf-Lneburg /4/ The Effect of Strength Mis-Match on Welded Joint Fracture Behaviour, Dissertation, University of Maribor /5/ Numerical Modelling of Ductile Crack Growth in 3-D using Computational Cell Elements, International Journal of Fracture 82, pp. 67-95 /6/ Modified Numerical Modelling of Fracture Behaviour of Weld Joint in Ductile-to-Brittle Temperature Transition Region, KOVINE ZLITINE TEHNOLOGIJE, Vol. 82, No. 5, pp. 337-342  PAGE 6 M.Sc.Mech.Eng. D. Kozak Finite element model of welded joint with crack-tip in heat affected zone  PAGE 7  Opatija, 1999. 5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING CIM  99 Published by: R.Cebalo & H. Schulz Ed.5th INTERNATIONAL SCIENTIFIC CONFERENCE ON PRODUCTION ENGINEERING  CIM  99Croatian Association of Production Engineering, Zagreb 1999.  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