Effect of a nonuniform distribution of voids on the plastic response of voided materials: A computational and statistical analysis

International Journal of Solids and Structures

Volumn 42, Issue 2, 2005, Pages 517-538

  Bilger, Nicolas ^a,b,c   Auslender, François ^a   Bornert, Michel ^a   Michel, Jean Claude ^b   Moulinec, Hervé ^b   Suquet, Pierre ^b   Zaoui, André ^a  

^a LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

^b LABORATOIRE DE MÉCANIQUE ET D ACOUSTIQUE   (France)

^c EDF R AND D   (France)

Author keywords

FFT calculations; Microstructures; Plasticity; Porosity distribution; Porous media

Indexed keywords

FAST FOURIER TRANSFORMS; HARDNESS; MICROSTRUCTURE; PLASTICITY; POROSITY; POROUS MATERIALS; RANDOM PROCESSES;

POROSITY DISTRIBUTIONS; SPATIAL DISTRIBUTION; VOIDED MATERIALS; VOIDS;

CRYSTAL DEFECTS;

EID: 7444233205     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.06.048     Document Type: Conference Paper

References (29)

1. Becker, R., 1987. The effect of porosity distribution on ductile failure. J. Mech. Phys. Solids 35, 577-599.
2. Benzerga, A., Besson, J., Pineau, A., 1999. Coalescence-controlled anisotropic ductile fracture. J. Eng. Mater. Technol. 121, 221-229.
3. Bilger, N., 2003. A micromechanical analysis of the role of particle clustering on the brittle-ductile transition in nuclear steels. Ph.D. Thesis, Ecole Polytechnique, Palaiseau (France), October 2003 (in French).
4. Böhm, H.J., Rammerstorfer, F.G., 1995. Influence of the micro-arrangement on matrix and fiber damage in constinuously reinforced mmcs. In: Pineau, A., Zaoui, A. (Eds.), Micromechanics of Plasticity and Damage of Multiphase Materials. Kluwer, Dordrecht, pp. 19-26.
5. Bornert, M., Doumalin P., 2000. Computational and experimental investigations of the local strain field in elastoplastic two-phase materials. In: Miannay, D., et al, (Eds). EUROMAT 2000, Advances in Mechanical Behaviour, Plasticity and Damage, vol. 1, pp. 323-328.
6. Brockenbrough, S., Suresh, D., Wienecke, S., 1991. Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape. Acta Metall. Mater. 39 (5), 735-752.
7. Eshelby, J.D., 1957. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. London A 241, 376-396.
8. Faleskog, J., Shih, C.F., 1997. Micromechanics of coalescence - I. Synergistic effects of elasticity, plastic yielding and multi-size scale voids. J. Mech. Phys. Solids 45 (1), 21-50.
9. Gãrãjeu, M., Suquet, P., 1997. Effective properties of porous ideally plastic or viscoplastic materials containing rigid particles. J. Mech. Phys. Solids 45, 873-902.
10. Gologanu, M., Leblond, J.-B., Devaux, J., 1993. Approximate models for ductile metals containing non-spherical voids - case of axisymmetric prolate ellipsoidal cavities. J. Mech. Phys. Solids 41 (11), 1723-1754.
11. Gurson, A.L., 1977. Continuum theory of ductile rupture by void nucleation and growth: Part I - yield criteria and flow rules for porous ductile media. J. Eng. Mater. Technol. 99, 1-15.
12. Kanit, T., Forest, S., Galliet, I., Mounoury, V., Jeulin, D., 2003. Determination of the size of the representative volume element for random composites: statistical and numerical approach. Int. J. Solids Struct. 40, 3647-3679.
13. Koplik, J., Needleman, A., 1988. Void growth and coalescence in porous plastic solids. Int. J. Solids Struct. 24, 835-853.
14. Leblond, J.B., Perrin, G., 1999. A self-consistent approach to coalescence of cavities in inhomogeneously voided ductile solids. J. Mech. Phys. Solids 47, 1823-1841.
15. Michel, J.-C., Moulinec, H., Suquet, P., 1999. Effective properties of composites materials with periodic microstructure: a computational approach. Comput. Methods Appl. Mech. Eng. 172, 109-143.
16. Michel, J.-C., Moulinec, H., Suquet, P., 2000. A computational method based on augmented lagrangians and fast fourier transforms for composites with high contrast. Comput. Model. Eng. Sci. 1 (2), 9-88.
17. Michel, J.-C., Moulinec, H., Suquet, P., 2001. A computational scheme for linear and nonlinear composites with arbitrary phase contrast. Int. J. Numer. Methods Eng. 52, 139-160.
18. Moulinec, H., Suquet, P., 1994. A fast numerical method for computing the linear and the nonlinear mechanical properties of composites. C. R. Acad. Sci. Paris II 318, 1417-1423.
19. Moulinec, Suquet, P., 1998. A numerical method for computing the overall response of nonlinear composites with complexes microstroctures. Comput. Methods Appl. Meek Eng. 157, 69-94.
20. Pardoen, T., Hutchinson, J.W., 2003. Micromechanics-based model for trends in toughness of ductile metals. Acta. Metall. Mater. 51, 133-148.
21. Perrin, G., Leblond, J.B., 1990. Analytical study of a hollow sphere made of plastic porous material and subjected to hydrostatic tension - Application to some problems in ductile fracture of metals. Int. J. Plast 6, 677-699.
22. Pijnenburg, K.G.W., Van der giessen, E., 2001. Macroscopic yield in cavitated polymer blends. Int. J. Solids. Struct. 38, 3575-3598.
23. Richelsen, A.B., Tvergaard, V., 1994. Dilatant plasticity for upper bound estimates for porous ductile solids. Acta. Metall. Mater. 42 (8), 2561-2577.
24. Soppa, E., Schmauder, S., Fischer, G., 1998. Numerical and experimental investigations of the influence of particle alignment on shear band formation in Al/Sic. In: Carstensen, J.V., Leffer, T., Lorentzen, T., Pedersen, O.B., Sorensen, B.F., Whither, G. (Eds.), 19th Risö International Symposium on Material Science, pp. 499-504.
25. Thomason, P.F., 1990. Ductile Fracture of Metals. Pergamon Press, New York.
26. Torquato, S., 2003. Random Heterogeneous Materials. Springer-Verlag, Berlin.
27. Tvergaard, V., 1990. Material failure by void growth to coalescence. In: Hutchinson, J.W., Wu, T.Y. (Eds.), Advances in Applied Mechanics, vol. 27. Academic Press, New-York, pp. 83-151.
28. Tvergaard, V., 1999. Effect of large elastic strains on cavitation instability predictions for elastic-plastic solids. Int. J. Solids Struct. 36, 5453-5466.
29. Tvergaard, V., Niordson, C., 2004. Nonlocal plasticity effects on interaction of different size voids. Int J. Solids Struct. 20, 107-120.