Une insuffisance de plusieurs extensions du modèle autocohérent au comportement des milieux hétérogènes non linéaires

Revue de Metallurgie. Cahiers D'Informations Techniques

Volumn 94, Issue 9, 1997, Pages 1081-1087

  Gilormini, P ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 6144263268     PISSN: 00351563     EISSN: None     Source Type: Journal    
DOI: 10.1051/metal/199794091081     Document Type: Article

References (20)

1. PONTE CASTAÑEDA (P.). - The effective mechanical properties of nonlinear isotropic composites. J. Mech. Phys. Solids, 39 (1991), p. 45-71.
2. HILL (R.). - Continuum micro-mechanics of elastoplastic polycrystals. J. Mech. Phys. Solids, 13 (1965), p. 89-101.
3. HUTCHINSON (J.W.). - Bounds and self-consistent estimates for creep of polycrystalline materials. Proc. Roy. Soc. London, A 348 (1976), p. 101-127.
4. BERVEILLER (M.), ZAOUI (A.). - A simplified self-consistent scheme for the plasticity of two-phase metals. Res. Mechanics Letters, 1 (1981), p. 119-124.
5. MOLINARI (A.), CANOVA (G.R.), AHZI (S.). - A self-consistent approach of the large deformation polycrystal viscoplasticity. Acta Metall., 35 (1987), p. 2983-2994.
6. MOLINARI (A.), TÓTH (L.S.). - Tuning a self consistent viscoplastic model by finite element results - I. Modelling. Acta Metall. Mater., 42 (1994), p. 2453-2458.
7. BAO (G.), HUTCHINSON (J.W.), MCMEEKING (R.M.). - The flow stress of dual-phase, non-hardening solids. Mech. Mater., 12 (1991), p. 85-94.
8. GILORMINI (P.). - A critical evaluation for various nonlinear extensions of the self-consistent model. Proceedings of the IUTAM symposium on « Micromechanics of plasticity and damage », A. Pineau and A. Zaoui (Eds), Kluwer Academic Publishers (1996), p. 67-74.
9. HILL (R.). - A self-consistent mechanics of composite materials. J. Mech. Phys. Solids, 13 (1965), p. 213-222.
10. SUQUET (P.), PONTE CASTAÑEDA (P.). - Small-contrast perturbation expansions for the effective properties of nonlinear composites. C.R. Acad. Sci. Paris, II317 (1993), p. 1515-1522.
11. SUQUET (P.). - Overall potentials and extremal surfaces of power law or ideally plastic composites. J. Mech. Phys. Solids, 41 (1993), p. 981-1002.
12. TALBOT (D.R.S.), WILLIS (J.R.). - Variational principles for nonlinear inhomogeneous media. IMA J. Appl. Math., 35 (1985), p. 39-54.
13. GILORMINI (P.). - Modèles autocohérents pour les matériaux hétérogènes non linéaires. Rapport no 154 (1994), Laboratoire de Mécanique et Technologie, Cachan.
14. GILORMINI (P.), VERNUSSE (P.). - Tenseur d'Eshelby et problème d'inclusion dans le cas isotrope transverse incompressible. C.R. Acad. Sci. Paris, II314 (1992), p. 257-261.
15. TÓTH (L.S.), MOLINARI (A.). - Tuning a self consistent viscoplastic model by finite element results - II. Application to torsion textures. Acta Metall. Mater., 42 (1994), p. 2459-2466.
16. GILORMINI (P.). - Insuffisance de l'extension classique du modèle autocohérent au comportement non linéaire. C.R. Acad. Sci. Paris, IIb 320 (1995), p. 115-122.
17. LEBENSOHN (R.A.), TOMÉ (C.N.). - A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals : application to zirconium alloys. Acta Metall. Mater., 41 (1993), p. 2611-2624.
18. GILORMINI (P.), GERMAIN (Y.). - A finite element analysis of the inclusion problem for power law viscous materials. Int. J. Solids Structures, 23 (1986), p. 413-437.
19. WALPOLE (L.J.). - On the overall elastic moduli of composite materials. J. Mech. Phys. Solids, 17 (1969), p. 235-251.
20. DE BOTTON (G.), PONTE CASTAÑEDA (P.). - Variational estimates for the creep behaviour of polycrystals. Proc. Roy. Soc. London, A448 (1995), p. 121-142.