An approximate yield criterion for anisotropic porous media

Comptes Rendus - Mecanique

Volumn 336, Issue 9, 2008, Pages 685-692

  Keralavarma, Shyam M ^a   Benzerga, A Amine ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

Damage; Ductile metals; Homogenization; Micromechanics; Non spherical voids; Porous media; Void growth

Indexed keywords

ANISOTROPY; FLOW FIELDS; FLOW VELOCITY; NUMERICAL METHODS; POROUS MATERIALS;

ANISOTROPIC MEDIUM; DEFORMATION; NUMERICAL METHOD; PLASTIC; POROUS MEDIUM; VELOCITY;

EID: 50649106185     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2008.07.008     Document Type: Article

References (19)

1. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: Part I. Yield criteria and flow rules for porous ductile media. J. Eng. Mat. Tech. 99 (1977) 2-15
2. G. Perrin, Contribution à l'étude théorique de la rupture ductile des métaux, PhD thesis, École Polytechnique, 1992
3. Leblond J.B. Mécanique de la rupture fragile et ductile (2003), Hermes Science Publications, Lavoisier
4. ème Colloque National en Calcul des Structures (1997), Presses Académiques de l'Ouest 673-678
5. A.A. Benzerga, Rupture ductile des tôles anisotropes, PhD thesis, École Nationale Supérieure des Mines de Paris, 2000
6. Benzerga A.A., and Besson J. Plastic potentials for anisotropic porous solids. Eur. J. Mech. 20 3 (2001) 397-434
7. Gologanu M., Leblond J.-B., and Devaux J. Approximate models for ductile metals containing non-spherical voids - case of axisymmetric prolate ellipsoidal cavities. J. Mech. Phys. Solids 41 11 (1993) 1723-1754
8. Gologanu M., Leblond J.-B., and Devaux J. Approximate models for ductile metals containing non-spherical voids - case of axisymmetric oblate ellipsoidal cavities. J. Eng. Mat. Tech. 116 (1994) 290-297
9. 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 Lectures Series (1997), Springer, New York 61-130
10. M. Gologanu, Étude de quelques problèmes de rupture ductile des métaux, PhD thesis, Université Paris 6, 1997
11. Garajeu M., Michel J.C., and Suquet P. A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids. Comput. Methods Appl. Mech. Engrg. 183 (2000) 223-246
12. Monchiet V., Gruescu C., Charkaluk E., and Kondo D. Approximate yield criteria for anisotropic metals with prolate or oblate voids. C. R. Mecanique 334 (2006) 431-439
13. Monchiet V., Cazacu O., Charkaluk E., and Kondo D. Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids. Int. J. Plasticity 24 (2008) 1158-1189
14. Mandel J. Contribution théorique à l'étude de l'écrouissage et des lois de l'écoulement plastique. 11th International Congress on Applied Mechanics (1964), Springer, Berlin 502-509
15. Hill R. The essential structure of constitutive laws for metal composites and polycrystals. J. Mech. Phys. Solids 15 (1967) 79-95
16. P. Suquet, Plasticité et homogénéisation, Thèse d'Etat, Université Pierre et Marie Curie, Paris VI, 1982
17. Hill R. A theory of yielding and plastic flow of anisotropic solids. Proc. Roy. Soc. London A 193 (1948) 281-297
18. Lee B.J., and Mear M.E. Axisymmetric deformation of power-law solids containing a dilute concentration of aligned spheroidal voids. J. Mech. Phys. Solids 40 8 (1992) 1805-1836
19. Benzerga A.A., Besson J., and Pineau A. Anisotropic ductile fracture. Part I: Experiments. Acta Mater. 52 (2004) 4623-4638