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## Mathematical Modeling of Cohesive Zone in the Ductile Metallic Materials

Pustaić, Dragan; Lovrenić-Jugović, Martina
Mathematical Modeling of Cohesive Zone in the Ductile Metallic Materials // Proceedings of the 9th International Congress of Croatian Society of Mechanics / Marović, Pavao ; Krstulović-Opara, Lovre ; Galić, Mirela (ur.).
Split: Croatian Society of Mechanics (CSM), 2018. str. 1-11 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)

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Naslov
Mathematical Modeling of Cohesive Zone in the Ductile Metallic Materials

Autori
Pustaić, Dragan ; Lovrenić-Jugović, Martina

Izvornik
Proceedings of the 9th International Congress of Croatian Society of Mechanics / Marović, Pavao ; Krstulović-Opara, Lovre ; Galić, Mirela - Split : Croatian Society of Mechanics (CSM), 2018, 1-11

Skup
9th International Congress of Croatian Society of Mechanics

Mjesto i datum
Split, Hrvatska, 18-22.09.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Elastic Plastic Fracture Mechanics, cohesive stress, isotropic and non-linear strain hardening material, plastic zone magnitude around crack tip, stress intensity coefficient, Ramberg-Osgood´s equation, strain hardening exponent, method of Green functions, analytical methods, Wolfram Mathematica 7.0.

Sažetak
The mathematical modeling of the phenomena appearing in the cohesive zone around crack tip in the ductile metallic materials is performed in this paper. Some of the well-known cohesive models are applied in those investigations, [2- 3]. Some parameters of EPFM, such as, the stress intensity coefficient and the magnitude of cohesive zone are investigated, [1-3]. An isotropic and non-linear strain hardening of a plate material is assumed. Non-linear strain hardening of a plate material at uniaxial state of stress is described by the Ramberg-Osgood equation, [1]. The investigations were carried out for the several different values of the strain hardening exponent n which is changed among the discreet values n = 3, 5, 7, 10, 25 and . In that way, it is going to be shown how different strain hardening of a material influences on the plastic zone magnitude. It is necessary to point out that the cohesive stresses within the plastic zone aren’t more constant in such isotropic strain hardening material. They are changed according to a non- linear law, [1]. The stress intensity coefficient from the cohesive stresses is calculated using Green functions, [1]. The analytical methods were used in the analysis. The results were obtained by means of software package Wolfram Mathematica 7.0. References [1] Chen, X. G., Wu, X. R., Yan, M. G., Dugdale Model for Strain Hardening Materials, Engineering Fracture Mechanics, 41 (6): 843- 871, 1992. [2] Pustaić, D., Štok, B., Crack Tip Plasticity Investigations using Dugdale Strip Yield Model Approach, In: Petit, J., de Fouquet, J., Henaff, G., Villechaise, P., Dragon, A., eds., Proceedings of 11th European Conference on Fracture (ECF-11), 151-156. Engineering Materials Advisory Services (EMAS), Poitiers- Futuroscope, 1996. [3] Pustaić, D., Štok, B., Some Critical Remarks on the Dugdale Strip Yield Model for the Crack Tip Plasticity, In: Brown, M. W., de los Rios, E. R., Miller, K. J., eds., Proceedings of 12th European Conference on Fracture (ECF-12), 889-894. Engineering Materials Advisory Services (EMAS), Sheffield, 1998.

Izvorni jezik
Engleski

Znanstvena područja

Napomena
Objavljeni rad ima prošireni sažetak tiskan u knjizi "Book of Abstracts", 1 str. (89.), ISSN 2584-7716, dok je cjeloviti rad izdan u elektroničkom formatu na USB-u i ima 11 stranica. USB ima ISSN 2623-6133 (Izdao: Croatian Society of Mechanics - CSM).

Ustanove:
Metalurški fakultet, Sisak

#### Citiraj ovu publikaciju:

Pustaić, Dragan; Lovrenić-Jugović, Martina
Mathematical Modeling of Cohesive Zone in the Ductile Metallic Materials // Proceedings of the 9th International Congress of Croatian Society of Mechanics / Marović, Pavao ; Krstulović-Opara, Lovre ; Galić, Mirela (ur.).
Split: Croatian Society of Mechanics (CSM), 2018. str. 1-11 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
Pustaić, D. & Lovrenić-Jugović, M. (2018) Mathematical Modeling of Cohesive Zone in the Ductile Metallic Materials. U: Marović, P., Krstulović-Opara, L. & Galić, M. (ur.)Proceedings of the 9th International Congress of Croatian Society of Mechanics.
@article{article, author = {Pustai\'{c}, Dragan and Lovreni\'{c}-Jugovi\'{c}, Martina}, year = {2018}, pages = {1-11}, keywords = {Elastic Plastic Fracture Mechanics, cohesive stress, isotropic and non-linear strain hardening material, plastic zone magnitude around crack tip, stress intensity coefficient, Ramberg-Osgood´s equation, strain hardening exponent, method of Green functions, analytical methods, Wolfram Mathematica 7.0.}, title = {Mathematical Modeling of Cohesive Zone in the Ductile Metallic Materials}, keyword = {Elastic Plastic Fracture Mechanics, cohesive stress, isotropic and non-linear strain hardening material, plastic zone magnitude around crack tip, stress intensity coefficient, Ramberg-Osgood´s equation, strain hardening exponent, method of Green functions, analytical methods, Wolfram Mathematica 7.0.}, publisher = {Croatian Society of Mechanics (CSM)}, publisherplace = {Split, Hrvatska} }
@article{article, author = {Pustai\'{c}, Dragan and Lovreni\'{c}-Jugovi\'{c}, Martina}, year = {2018}, pages = {1-11}, keywords = {Elastic Plastic Fracture Mechanics, cohesive stress, isotropic and non-linear strain hardening material, plastic zone magnitude around crack tip, stress intensity coefficient, Ramberg-Osgood´s equation, strain hardening exponent, method of Green functions, analytical methods, Wolfram Mathematica 7.0.}, title = {Mathematical Modeling of Cohesive Zone in the Ductile Metallic Materials}, keyword = {Elastic Plastic Fracture Mechanics, cohesive stress, isotropic and non-linear strain hardening material, plastic zone magnitude around crack tip, stress intensity coefficient, Ramberg-Osgood´s equation, strain hardening exponent, method of Green functions, analytical methods, Wolfram Mathematica 7.0.}, publisher = {Croatian Society of Mechanics (CSM)}, publisherplace = {Split, Hrvatska} }

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