Numerical implementation and assessment of the GLPD micromorphic model of ductile rupture

European Journal of Mechanics, A/Solids

Volumn 28, Issue 3, 2009, Pages 445-460

  Enakoutsa, Koffi ^a   Leblond, Jean Baptiste ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Ductile rupture; Gurson's model; Micromorphic model; Numerical simulations; Unlimited localization

Indexed keywords

COMPUTER SIMULATION; DUCTILE FRACTURE;

DUCTILE RUPTURE; GURSON'S MODEL; MICROMORPHIC MODEL; NUMERICAL SIMULATIONS; UNLIMITED LOCALIZATION;

MATHEMATICAL MODELS;

EID: 60749131034     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2008.11.004     Document Type: Article

References (21)

1. Aravas N. On the numerical integration of a class of pressure-dependent plasticity models. Int. J. Numer. Meth. Engng. 24 (1987) 1395-1416
2. Enakoutsa, K., 2007. Modèles non-locaux en rupture ductile des métaux. Ph.D. thesis, Université Pierre et Marie Curie (Paris VI) (in French)
3. Enakoutsa K., Leblond J.B., and Perrin G. Numerical implementation and assessment of a phenomenological nonlocal model of ductile rupture. Comput. Meth. Appl. Mech. Engng. 196 (2007) 1946-1957
4. Forest S., Barbe F., and Cailletaud G. Cosserat modelling of size effects in the mechanical behaviour of polycrystals and multi-phase materials. Int. J. Solids Structures 37 (2000) 7105-7126
5. Gologanu M., Leblond J.B., Perrin G., and Devaux J. Recent extensions of Gurson's model for porous ductile metals. In: Suquet P. (Ed). Continuum Micromechanics. CISM Courses and Lectures vol. 377 (1997), Springer 61-130
6. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: Part I - Yield criteria and flow rules for porous ductile media. ASME J. Engng. Materials Technol. 99 (1977) 2-15
7. Halphen B., and Nguyen Q.S. Sur les matériaux standards généralisés. Journal de Mécanique 14 (1975) 39-63 (in French)
8. Hill R. The essential structure of constitutive laws for metal composites and polycrystals. J. Mech. Phys. Solids 15 (1967) 79-95
9. Leblond J.B., Perrin G., and Devaux J. Bifurcation effects in ductile metals with nonlocal damage. ASME J. Appl. Mech. 61 (1994) 236-242
10. Mandel J. Contribution théorique à l'étude de l'écrouissage et des lois d'écoulement plastique. Proceedings of the 11th International Congress on Applied Mechanics (1964), Springer 502-509 (in French)
11. Matsushima T., Chambon R., and Caillerie D. Second gradient models as a particular case of microstructured models: a large strain finite element analysis. Comptes-Rendus Acad. Sc. Paris Série IIb 328 (2000) 179-186
12. Mindlin R.D., and Eshel N.N. On first strain-gradient theories in linear elasticity. Int. J. Solids Structures 4 (1968) 109-124
13. Needleman A., and Tvergaard V. Dynamic crack growth in a nonlocal progressively cavitating solid. Eur. J. Mech. A/Solids 17 (1998) 421-438
14. Nguyen Q.S. On the elastic plastic initial-boundary value problem and its numerical integration. Int. J. Numer. Meth. Engng. 11 (1977) 817-832
15. Pijaudier-Cabot G., and Bazant Z.P. Nonlocal damage theory. ASCE J. Engng. Mech. 113 (1987) 1512-1533
16. Shu J., King W., and Fleck N. Finite elements for materials with strain gradient effects. Int. J. Numer. Methods Engng. 44 (1999) 373-391
17. Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int. J. Fracture 17 (1981) 389-407
18. Tvergaard V., and Needleman A. Analysis of cup-cone fracture in a round tensile bar. Acta Metall. 32 (1984) 157-169
19. Tvergaard V., and Needleman A. Effects of nonlocal damage in porous plastic solids. Int. J. Solids Structures 32 (1995) 1063-1077
20. Tvergaard V., and Needleman A. Nonlocal effects on localization in a void-sheet. Int. J. Solids Structures 34 (1997) 2221-2238
21. Rousselier, G., Mudry, F., 1980. Etude de la rupture ductile de l'acier faiblement allié en Mn-Ni-Mo pour cuves de réacteurs à eau ordinaire sous pression, approvisionné sous la forme d'une débouchure de tubulure. Résultats du programme expérimental, EdF Centre des Renardières Internal Report HT/PV D529 MAT/T43 (in French)