Improved affine estimates for nonlinear viscoelastic composites

European Journal of Mechanics, A/Solids

Volumn 24, Issue 6, 2005, Pages 1002-1015

  Brenner, R ^a   Masson, R ^b  

^a UNIVERSITÉ PARIS 13   (France)

^b Recherche et Developpement   (France)

Author keywords

Composite; Homogenisation; Nonlinear viscoelasticity

Indexed keywords

MATRIX ALGEBRA; STRESS ANALYSIS; VISCOELASTICITY;

ELASTIC INCLUSIONS; HOMOGENIZATION; NONLINEAR VISCOELASTIC COMPOSITES;

COMPOSITE MATERIALS;

EID: 27144440494     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2005.06.004     Document Type: Article

References (24)

1. M. Bobeth, and G. Diener Field fluctuations in multicomponent mixtures J. Mech. Phys. Solids 34 1986 1 17
2. R. Brenner, O. Castelnau, and P. Gilormini A modified affine theory for the overall properties of nonlinear composites C. R. Acad. Sci. Paris, Ser. IIb 329 2001 649 654
3. R. Brenner, R. Masson, O. Castelnau, and A. Zaoui A "quasi-elastic" affine formulation for the homogenized behaviour of nonlinear viscoelastic polycrystals and composites Eur. J. Mech. A Solids 21 2002 943 960
4. V.A. Buryachenko Effective strength properties of elastic physically nonlinear composites Mecamat 93, International Seminar on Micromechanics of Materials 1993 Eyrolles Paris 567 578
5. V.A. Buryachenko Multiparticle effective field and related methods in micromechanics of composite materials Appl. Mech. Rev. 54 2001 1 47
6. J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc. Roy. Soc. London Ser. A 241 1957 376 396
7. P. Gilormini Insuffisance de l'extension classique du modèle autocohérent au comportement non linéaire C. R. Acad. Sci. Paris, Ser. IIb 320 1995 115 122
8. R. Hill Continuum micro-mechanics of elastoplastic polycrystals J. Mech. Phys. Solids 13 1965 89 101
9. W. Kreher Residual stresses and stored elastic energy of composites and polycrystals J. Mech. Phys. Solids 38 1990 115 128
10. M. Idiart, and P. Ponte Castañeda Field fluctuations and macroscopic properties for nonlinear composites Int. J. Solids Struct. 40 2003 7015 7033
11. N. Laws, and R. McLaughlin Self-consistent estimates for the viscoelastic creep compliances of composite materials Proc. Roy. Soc. London Ser. A 359 1978 251 273
12. J. Mandel Mécanique des milieux continus 1966 Gauthier-Villars Paris
13. R. Masson, and A. Zaoui Self-consistent estimates for the rate-dependent elastoplastic behaviour of polycrystalline materials J. Mech. Phys. Solids 47 1999 3543 3568
14. R. Masson, M. Bornert, P. Suquet, and A. Zaoui An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals J. Mech. Phys. Solids 48 2000 1203 1227
15. T. Mori, and K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall. Mater. 21 1973 597 629
16. H. Moulinec, and P. Suquet Intraphase strain heterogeneity in nonlinear composites: a computational approach Eur. J. Mech. A Solids 22 2003 751 770
17. P. Ponte Castañeda Exact second-order estimates for the effective mechanical properties of nonlinear composite materials J. Mech. Phys. Solids 44 1996 827 862
18. P. Ponte Castañeda Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I - Theory J. Mech. Phys. Solids 50 2002 737 757
19. P. Ponte Castañeda Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II - Applications J. Mech. Phys. Solids 50 2002 759 782
20. P. Ponte Castañeda, and P. Suquet Nonlinear composites Adv. Appl. Mech. 34 1998 171 302
21. A. Pouya, and A. Zaoui Linéarisation et homogénéisation en viscoélasticité C. R. Acad. Sci. Paris, Ser. IIb 327 1999 365 370
22. Y. Rougier, C. Stolz, and A. Zaoui Self-consistent modelling of elastic-viscoplastic polycrystals C. R. Acad. Sci. Paris, Ser. II 318 1994 145 151
23. Schapery, R.A., 1962. Approximate methods of transform inversion for viscoelastic stress analysis. In: Proc. U.S. Nat. Congr. Appl. Mech. ASME 4th, vol. 2, pp. 1075-1085
24. P. Suquet 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, Ser. IIb 320 1995 563 571