Numerical simulation of elasto-plastic deformation of composites: Evolution of stress microfields and implications for homogenization models

Journal of the Mechanics and Physics of Solids

Volumn 52, Issue 7, 2004, Pages 1573-1593

  Gonzalez C ^a   Segurado, J ^a   LLorca, J ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Finite element simulation; Homogenization methods; Plasticity; Sphere reinforced composites

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DEFORMATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; STRAIN HARDENING; STRESS ANALYSIS; TENSORS;

FINITE ELEMENT SIMULATION; HOMOGENIZATION METHODS; SPHERE-REINFORCED COMPOSITES;

COMPOSITE MATERIALS;

EID: 2442480662     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.01.002     Document Type: Article

References (31)

1. Abaqus/Standard, 2002. Version 6.1. Hibbitt, Karlsson, and Sorensen, Inc., Pawtucket, RI.
2. Berveiller M., Zaoui A. An extension of the self-consistent scheme to plastically-flowing polycrystals. J. Mech. Phys. Solids. 26:1979;325-344.
3. Buryachenko V.A. The overall elastoplastic behavior of multiphase materials with isotropic components. Acta Mech. 119:1996;93-117.
4. Doghri I., Ouaar A. Homogenization of two-phase elasto-plastic composite materials and structures. Study of tangent operators, cyclic plasticity and numerical algorithms. Int. J. Solids Struct. 40:2003;1681-1712.
5. Drugan W.J. Micromechanics-based variational estimates for a higher-order nonlocal constitutive equation and optimal choice of effective moduli of elastic composites. J. Mech. Phys. Solids. 48:2000;1359-1387.
6. Drugan W.J., Willis J.R. A micromechanics-based nonlocal constitutive equation and estimates of the representative volume element size for elastic composites. J. Mech. Phys. Solids. 44:1996;497-524.
7. Gilormini P. Insuffisance de l'extension classique du modèle auto-cohérent au comportement non linéaire. C. R. Acad. Sci. Paris Serie IIb. 320:1995;115-122.
8. González C., LLorca J. A self-consistent approach to the elasto-plastic behavior of two-phase materials including damage. J. Mech. Phys. Solids. 48:2000;675-692.
9. Hashin Z., Shtrikman S. A variational approach to the theory of elastic behavior of multiphase materials. J. Mech. Phys. Solids. 11:1963;127-140.
10. Hazanov S., Huet C. Order relationships for boundary condition effects in heterogeneous bodies smaller than the representative volume. J. Mech. Phys. Solids. 42:1994;1995-2011.
11. Hill R. A self-consistent mechanics of composite materials. J. Mech. Phys. Solids. 13:1965;213-222.
12. Huet C. Application of variational concepts to size effects in elastic heterogeneous bodies. J. Mech. Phys. Solids. 8:1990;813-841.
13. Hutchinson J.W. Elastic-plastic behavior of polycrystalline metals and composites. Proc. Roy. Soc. London A. 355:1970;101-127.
14. Ju J.W., Sun L.Z. Effective elastoplastic behavior of metal-matrix composites containing randomly located aligned spheroidal inhomogeneities. Part I. micromechanics-based formulation Int. J. Solids Struct. 38:2001;183-201.
15. Kreher W. Residual stresses and stored elastic energy of composites and polycrystals. J. Mech. Phys. Solids. 38:1990;115-128.
16. Nemat-Nasser S., Hori M. Micromechanics. Overall Properties of Heterogeneous Materials. 1999;North-Holland, Amsterdam.
17. Pettermann H., Plankesteiner A.F., Böhm H.B., Rammerstorfer F.G. A thermo-elasto-plastic constitutive law for inhomogeneous materials based on an incremental Mori-Tanaka approach. Comp. Struct. 71:1999;197-214.
18. Ponte Castañeda P. The effective mechanical properties of nonlinear isotropic composites. J. Mech. Phys. Solids. 39:1991;45-71.
19. Ponte Castañeda P. Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. J. Mech. Phys. Solids. 44:1996;827-862.
20. Ponte Castañeda P. Second-order homogenization estimates of nonlinear composites incorporating field fluctuations. J. Mech. Phys. Solids. 50:2002;737-757.
21. Ponte Castañeda P., Suquet P. Nonlinear composites. Adv. Appl. Mech. 34:1998;171-301.
22. Qiu Y., Weng G. A theory of plasticity for porous and particle-reinforced composites. J. Appl. Mech. 59:1992;261-268.
23. Rintoul M.D., Torquato S. Reconstruction of the structure of dispersions. J. Colloid. Interf. Sci. 186:1997;467-476.
24. Segurado J., LLorca J. A numerical approximation to the elastic properties of sphere-reinforced composites. J. Mech. Phys. Solids. 50:2002;2107-2121.
25. Segurado J., LLorca J., González C. On the accuracy of mean-field approaches to simulate the plastic deformation of composites. Scripta Mater. 46:2002;525-529.
26. Segurado J., González C., LLorca J. A numerical investigation of the effect of particle clustering on the mechanical properties of composites. Acta Mater. 51:2003;2355-2369.
27. Suquet P. Elements of homogenization for inelastic solid mechanics. Sanchez-Palencia E., Zaoui A. Homogenization Techniques for Composite Media. 1987;193-278 Springer, New York.
28. Suquet P. Overall properties of nonlinear composites. a modified secant moduli theory and its link with Ponte Castañeda's nonlinear variational procedure C. R. Acad. Sci. Paris Serie IIb. 320:1995;563-571.
29. Tandon G.P., Weng G.J. A theory of particle-reinforced plasticity. J. Appl. Mech. 55:1988;126-135.
30. Torquato S. Random heterogeneous media: microstructure and improved bounds on effective properties. Appl. Mech. Rev. 44:1991;37-76.
31. Torquato S. Effective stiffness tensor of composite media. II. Applications to isotropic dispersions J. Mech. Phys. Solids. 46:1998;1411-1440.