An extension of the self-consistent scheme to plastically-flowing polycrystals, Journal of the Mechanics and Physics of Solids, vol.26, issue.5-6, pp.325-344, 1979. ,
DOI : 10.1016/0022-5096(78)90003-0
New bounds and estimates for porous media with rigid perfectly plastic matrix, Comptes Rendus M??canique, vol.330, issue.2, pp.127-132, 2002. ,
DOI : 10.1016/S1631-0721(02)01438-9
URL : https://hal.archives-ouvertes.fr/hal-00111344
Bounds and estimates for the effective yield surface of porous media with a uniform or a nonuniform distribution of voids, European Journal of Mechanics - A/Solids, vol.26, issue.5, pp.810-836, 2007. ,
DOI : 10.1016/j.euromechsol.2007.01.004
URL : https://hal.archives-ouvertes.fr/hal-00139470
Second-order estimates of the self-consistent type for viscoplastic polycrystals, Proc. R. Soc. Lond., A356, pp.3035-3045, 1998. ,
DOI : 10.1098/rspa.1998.0290
URL : https://hal.archives-ouvertes.fr/hal-00111601
A modified affine theory for the overall properties of nonlinear composites, Série IIb, pp.649-654, 2001. ,
DOI : 10.1016/S1620-7742(01)01382-4
Sur les approximations ?? isotrope ?? et ?? anisotrope ?? de l'op??rateur tangent pour les m??thodes tangentes incr??mentale et affine, Comptes Rendus M??canique, vol.331, issue.12, pp.857-864, 2003. ,
DOI : 10.1016/j.crme.2003.08.002
A homogenization-based constitutive model for two-dimensional viscoplastic porous media, Comptes Rendus M??canique, vol.336, issue.1-2, pp.79-90, 2008. ,
DOI : 10.1016/j.crme.2007.10.017
URL : https://hal.archives-ouvertes.fr/hal-00491344
Insuffisance de l'extension classique du modéle auto-cohérent au comportement non linéaire, C. R. Acad. Sci. Paris, vol.320, pp.115-122, 1995. ,
A similarity between the classical and modified secant extensions of the self-consistent model, Comptes Rendus de l'Acad??mie des Sciences - Series IIB - Mechanics, vol.329, issue.7, pp.523-527, 2001. ,
DOI : 10.1016/S1620-7742(01)01362-9
Accurate estimates for the creep behavior of hexagonal polycrystals, Acta Materialia, vol.49, issue.2, pp.49-329, 2001. ,
DOI : 10.1016/S1359-6454(00)00319-0
The essential structure of constitutive laws for metal composites and polycrystals, Journal of the Mechanics and Physics of Solids, vol.15, issue.2, pp.79-95, 1967. ,
DOI : 10.1016/0022-5096(67)90018-X
Second-order estimates for nonlinear isotropic composites with spherical pores and rigid particles, Comptes Rendus M??canique, vol.333, issue.2, pp.147-154, 2005. ,
DOI : 10.1016/j.crme.2004.12.001
Field fluctuations and macroscopic properties for nonlinear composites, International Journal of Solids and Structures, vol.40, issue.25, pp.7015-7033, 2003. ,
DOI : 10.1016/S0020-7683(03)00352-4
Macroscopic behavior and field fluctuations in viscoplastic composites: Second-order estimates versus full-field simulations, Journal of the Mechanics and Physics of Solids, vol.54, issue.5, pp.1029-1063, 2006. ,
DOI : 10.1016/j.jmps.2005.11.004
URL : https://hal.archives-ouvertes.fr/hal-00111463
Field statistics in nonlinear composites. I. Theory, Proc. R. Soc. Lond. A463, pp.183-202, 2007. ,
DOI : 10.1098/rspa.2006.1756
URL : https://hal.archives-ouvertes.fr/hal-00311888
Second-order theory for nonlinear composites and application to isotropic constituents, Comptes Rendus M??canique, vol.334, issue.10, pp.575-581, 2006. ,
DOI : 10.1016/j.crme.2006.06.006
URL : https://hal.archives-ouvertes.fr/hal-00111455
Foundations of the Theory of Plasticity, 1971. ,
Void growth and coalescence in porous plastic solids, International Journal of Solids and Structures, vol.24, issue.8, pp.835-853, 1988. ,
DOI : 10.1016/0020-7683(88)90051-0
Nonlinear composites: a linearization procedure, exact to second-order in contrast and for which the strain-energy and affine formulations coincide, Comptes Rendus M??canique, vol.332, issue.9, pp.693-700, 2004. ,
DOI : 10.1016/j.crme.2004.04.004
URL : https://hal.archives-ouvertes.fr/hal-00088254
Exact results and approximate models for porous viscoplastic solids, International Journal of Plasticity, vol.10, issue.3, pp.213-235, 1994. ,
DOI : 10.1016/0749-6419(94)90001-9
Bounds on the self-consistent approximation for nonlinear media and implications for the second-order method, Comptes Rendus de l'Acad??mie des Sciences - Series IIB - Mechanics, vol.329, issue.8, pp.571-577, 2001. ,
DOI : 10.1016/S1620-7742(01)01369-1
An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals, Journal of the Mechanics and Physics of Solids, vol.48, issue.6-7, pp.1203-1227, 2000. ,
DOI : 10.1016/S0022-5096(99)00071-X
URL : https://hal.archives-ouvertes.fr/hal-00114467
Effective properties of composite materials with periodic microstructure: a computational approach, Computer Methods in Applied Mechanics and Engineering, vol.172, issue.1-4, pp.1-4, 1999. ,
DOI : 10.1016/S0045-7825(98)00227-8
On the self-consistent modeling of elastic-plastic behavior of polycrystals, Mechanics of Materials, vol.26, issue.1, pp.43-62, 1997. ,
DOI : 10.1016/S0167-6636(97)00017-3
Tuning a self consistent viscoplastic model by finite element results???I. Modeling, Acta Metallurgica et Materialia, vol.42, issue.7, pp.2453-2458, 1994. ,
DOI : 10.1016/0956-7151(94)90324-7
Intraphase strain heterogeneity in nonlinear composites: a??computational approach, European Journal of Mechanics - A/Solids, vol.22, issue.5, pp.751-770, 2003. ,
DOI : 10.1016/S0997-7538(03)00079-2
Homogenization for nonlinear composites in the light of numerical simulations The Netherlands, Nonlinear Homogenization and Its Applications to Composites, Polycrystals and Smart Materials, pp.193-223, 2004. ,
Yield criteria for porous media in plane strain: second-order estimates versus numerical results, Comptes Rendus M??canique, vol.330, issue.11, pp.330-741, 2002. ,
DOI : 10.1016/S1631-0721(02)01526-7
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, International Journal of Plasticity, vol.6, issue.6, pp.677-699, 1990. ,
DOI : 10.1016/0749-6419(90)90039-H
The effective mechanical properties of nonlinear isotropic composites, Journal of the Mechanics and Physics of Solids, vol.39, issue.1, pp.45-71, 1991. ,
DOI : 10.1016/0022-5096(91)90030-R
Exact second-order estimates for the effective mechanical properties of nonlinear composite materials, Journal of the Mechanics and Physics of Solids, vol.44, issue.6, pp.827-862, 1996. ,
DOI : 10.1016/0022-5096(96)00015-4
Nonlinear composites Advances in Applied Mechanics, pp.171-302, 1998. ,
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I???theory, Journal of the Mechanics and Physics of Solids, vol.50, issue.4, pp.737-757, 2002. ,
DOI : 10.1016/S0022-5096(01)00099-0
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: II???applications, Journal of the Mechanics and Physics of Solids, vol.50, issue.4, pp.759-782, 2002. ,
DOI : 10.1016/S0022-5096(01)00098-9
A methodology for an accurate evaluation of the linearization procedures in nonlinear mean field homogenization, Comptes Rendus M??canique, vol.333, issue.11, pp.333-789, 2005. ,
DOI : 10.1016/j.crme.2005.10.002
URL : https://hal.archives-ouvertes.fr/hal-00156073
Une méthodologie pour uné evaluation précise des procédures de linéarisation en homogénéisation non linéaire, 2006. ,
Objective evaluation of linearization procedures in nonlinear homogenization: A methodology and some implications on the accuracy of micromechanical schemes, International Journal of Solids and Structures, vol.44, issue.10, pp.44-3468, 2007. ,
DOI : 10.1016/j.ijsolstr.2006.10.001
URL : https://hal.archives-ouvertes.fr/hal-00111454
A critical evaluation of local field statistics predicted by various linearization schemes in nonlinear mean-field homogenization, Mechanics of Materials, vol.54, pp.1-17, 2012. ,
DOI : 10.1016/j.mechmat.2012.05.011
URL : https://hal.archives-ouvertes.fr/hal-00769033
On the accuracy of mean-field approaches to simulate the plastic deformation of composites, Scripta Materialia, vol.46, issue.7, pp.525-529, 2002. ,
DOI : 10.1016/S1359-6462(02)00027-1
Overall Properties of Nonlinear Composites, C. R. Mécanique, vol.320, pp.563-571, 1995. ,
DOI : 10.1007/978-94-009-1756-9_19
On localization in ductile materials containing spherical voids, Int. J. Fracture, vol.18, pp.237-252, 1982. ,