External estimate of the yield surface of an arbitrary ellipsoid containing a confocal void

Comptes Rendus - Mecanique

Volumn 336, Issue 11-12, 2008, Pages 813-819

  Leblond, Jean Baptiste ^a   Gologanu, Mihai ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b NONE   (Romania)

Author keywords

Ductile materials; External approach; Hollow ellipsoid; Limit analysis; Void shape effects

Indexed keywords

PLASTICITY; STRAIN RATE; SURFACE ANALYSIS;

DUCTILITY; ELLIPSE; ESTIMATION METHOD; LIMIT ANALYSIS; MODELING; STRAIN; VOID;

EID: 57149083049     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2008.10.006     Document Type: Article

References (17)

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. ASME J. Engrg. Materials Technol. 99 (1977) 2-15
2. 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 (1993) 1723-1754
3. Gologanu M., Leblond J.B., and Devaux J. Approximate models for ductile metals containing non-spherical voids - Case of axisymmetric oblate ellipsoidal cavities. ASME J. Engrg. Materials Technol. 116 (1994) 290-297
4. 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 (1997), Springer-Verlag, New York 61-130
5. M. Garajeu, Contribution à l'étude du comportement non linéaire de milieux poreux avec ou sans renfort, PhD thesis, Université de la Méditerranée, Marseille, France, 1995
6. 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. Meth. Appl. Mech. Engrg. 183 (2000) 223-246
7. Ponte Castañeda P. The effective mechanical properties of nonlinear isotropic materials. J. Mech. Phys. Solids 39 (1991) 45-71
8. Willis J. On methods for bounding the overall properties of nonlinear composites. J. Mech. Phys. Solids 39 (1991) 73-86
9. Michel J.C., and Suquet P. The constitutive law of nonlinear viscous and porous materials. J. Mech. Phys. Solids 40 (1992) 783-812
10. Monchiet V., Charkaluk E., and Kondo D. An improvement of Gurson-type models of porous materials by using Eshelby-like trial velocity fields. C. R. Mecanique 335 (2007) 32-41
11. 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
12. Keralavarma S.M., and Benzerga A. An approximate yield criterion for anisotropic porous media. C. R. Mecanique 336 (2008) 685-692
13. Kaisalam M., and Ponte-Castañeda P. A general constitutive theory for linear and nonlinear particulate media with microstructure evolution. J. Mech. Phys. Solids 46 (1998) 427-465
14. Ponte-Castañeda P. Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I. Theory, J. Mech. Phys. Solids 50 (2002) 737-757
15. K. Danas, P. Ponte-Castañeda, A finite-strain model for anisotropic viscoplastic porous media: I - Theory; II - Applications, Eur. J. Mech. A/Solids, in press
16. Morse P.M., and Feshbach H. Methods of Theoretical Physics, Part I (1953), McGraw-Hill, New York
17. V. Monchiet, Contribution à la modélisation micromécanique de l'endommagement et de la fatigue des métaux ductiles, PhD thesis, Université de Lille, France, 2006