H. Bui, Evolution de lafrontì ere du domainé elastique des métaux avec l'´ ecrouissage plastique et le comportementélastoplastiquecomportement´comportementélastoplastique d'un agrégat de cristaux cubiques, pp.141-165, 1970.

J. Chaboche, S. Kruch, J. Maire, and T. Pottier, Towards a micromechanics based inelastic and damage modeling of composites, International Journal of Plasticity, vol.17, issue.4, pp.411-439, 2001.
DOI : 10.1016/S0749-6419(00)00056-5

G. Dvorak, Transformation field analysis of inelastic composite materials, Proc. R. Soc. Lond. A 437, pp.311-327, 1992.

G. Dvorak and Y. Bahei-el-din, A bimodal plasticity theory of fibrous composite materials, Acta Mechanica, vol.49, issue.1-4, pp.219-241, 1987.
DOI : 10.1007/BF01175723

G. Dvorak and Y. Benveniste, On Transformation Strains and Uniform Fields in Multiphase Elastic Media, Proc. R. Soc. Lond. A 437, pp.291-310, 1992.
DOI : 10.1098/rspa.1992.0062

G. Dvorak and M. Rao, Axisymmetric plasticity theory of fibrous composites, International Journal of Engineering Science, vol.14, issue.4, pp.361-373, 1976.
DOI : 10.1016/0020-7225(76)90009-4

G. Dvorak, Y. Bahei-el-din, Y. Macheret, and C. Liu, An experimental study of elastic-plastic behavior of a fibrous boron-aluminum composite, Journal of the Mechanics and Physics of Solids, vol.36, issue.6, pp.655-687, 1988.
DOI : 10.1016/0022-5096(88)90003-8

G. Dvorak, Y. Bahei-el-din, and A. Wafa, The modeling of inelastic composite materials with the transformation field analysis, Modelling and Simulation in Materials Science and Engineering, vol.2, issue.3A, pp.571-586, 1994.
DOI : 10.1088/0965-0393/2/3A/011

J. Fish and Q. Yu, Computational mechanics of fatigue and life predictions for composite materials and structures, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.43, pp.4827-4849, 2002.
DOI : 10.1016/S0045-7825(02)00401-2

J. Fish, K. Shek, M. Pandheeradi, and M. Shepard, Computational plasticity for composite structures based on mathematical homogenization: Theory and practice, Computer Methods in Applied Mechanics and Engineering, vol.148, issue.1-2, pp.53-73, 1997.
DOI : 10.1016/S0045-7825(97)00030-3

B. Halphen and Q. Nguyen, Sur les matériaux standard généralisés, J. Mécanique, vol.14, pp.39-63, 1975.

P. Kattan and G. Voyiadjis, Overall damage and elastoplastic deformation in fibrous metal matrix composites, International Journal of Plasticity, vol.9, issue.8, pp.931-949, 1993.
DOI : 10.1016/0749-6419(93)90059-Y

J. Lemaitre and J. Chaboche, Mécanique des matériaux solides, 1988.

J. Lubliner, Plasticity Theory, Journal of Applied Mechanics, vol.59, issue.1, 1990.
DOI : 10.1115/1.2899459

J. Mandel, of CISM Lecture Notes, Plasticité classique et Viscoplasticité, 1972.

G. Maugin, The Thermomechanics of Plasticity and Fracture, 1992.
DOI : 10.1017/CBO9781139172400

J. Michel, H. Moulinec, and P. Suquet, Effective properties of composite materials with periodic microstructure: a computational approach, Computer Methods in Applied Mechanics and Engineering, vol.172, issue.1-4, pp.109-143, 1999.
DOI : 10.1016/S0045-7825(98)00227-8

J. Michel, U. Galvanetto, and P. Suquet, Constitutive relations involving internal variables based on a micromechanical analysis, Continuum Thermomechanics: The Art and Science of Modelling Material Behaviour, pp.301-312, 2000.
DOI : 10.1007/0-306-46946-4_23

H. Moulinec and P. Suquet, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.69-94, 1998.
DOI : 10.1016/S0045-7825(97)00218-1

URL : https://hal.archives-ouvertes.fr/hal-01282728

T. Olson, Improvements on Taylor's upper bound for rigid-plastic composites, Materials Science and Engineering: A, vol.175, issue.1-2, pp.15-20, 1994.
DOI : 10.1016/0921-5093(94)91039-1

P. Castañeda and P. , 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

P. Castañeda and P. , New variational principles in plasticity and their application to composite materials, Journal of the Mechanics and Physics of Solids, vol.40, issue.8, pp.1757-1788, 1992.
DOI : 10.1016/0022-5096(92)90050-C

P. Castañeda and P. , A second-order theory for nonlinear composite materials, C.R. Acad. Sc. Paris Série II b, vol.322, pp.3-10, 1996.

P. Castañeda, P. Suquet, and P. , Nonlinear Composites, Advances in Applied Mechanics, pp.171-302, 1997.
DOI : 10.1016/S0065-2156(08)70321-1

J. Rice, On the Structure of Stress-Strain Relations for Time-Dependent Plastic Deformation in Metals, Journal of Applied Mechanics, vol.37, issue.3, pp.728-737, 1970.
DOI : 10.1115/1.3408603

P. Suquet, Local and global aspects in the mathematical theory of Plasticity, Plasticity Today: Modelling, Methods and Applications, pp.279-310, 1985.

P. Suquet, Introduction, Homogenization Techniques for Composite Media, pp.193-278, 1987.
DOI : 10.1007/3-540-17616-0_15

URL : https://hal.archives-ouvertes.fr/hal-00404025

P. Suquet, On bounds for the overall potential of power law materials containing voids with an arbitrary shape, Mechanics Research Communications, vol.19, issue.1, pp.51-58, 1992.
DOI : 10.1016/0093-6413(92)90012-Y

P. Suquet, Overall potentials and extremal surfaces of power law or ideally plastic composites, Journal of the Mechanics and Physics of Solids, vol.41, issue.6, pp.981-1002, 1993.
DOI : 10.1016/0022-5096(93)90051-G

P. Suquet, Effective Properties of Nonlinear Composites, Continuum Micromechanics, pp.197-264, 1997.
DOI : 10.1007/978-3-7091-2662-2_4

URL : https://hal.archives-ouvertes.fr/hal-00111291

D. Talbot and J. Willis, Variational principles for inhomogeneous nonlinear media, 1985.

J. Teply and G. Dvorak, Bounds on overall instantaneous properties of elastic-plastic composites, Journal of the Mechanics and Physics of Solids, vol.36, issue.1, pp.29-58, 1988.
DOI : 10.1016/0022-5096(88)90019-1

J. Willis, On methods for bounding the overall properties of nonlinear composites, Journal of the Mechanics and Physics of Solids, vol.39, issue.1, pp.73-86, 1991.
DOI : 10.1016/0022-5096(91)90031-I