J. D. Eshelby, The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.241, issue.1226, pp.376-396, 1226.
DOI : 10.1098/rspa.1957.0133

T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. , Jeulin, Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, pp.13-14, 2003.

S. R. Annapragada, D. Sun, and S. V. Garimella, Prediction of effective thermo-mechanical properties of particulate composites, Computational Materials Science, vol.40, issue.2, pp.255-266, 2007.
DOI : 10.1016/j.commatsci.2006.12.008

S. Kari, H. Berger, R. Rodriguez-ramos, and U. Gabbert, Computational evaluation of effective material properties of composites reinforced by randomly distributed spherical particles, Composite Structures, vol.77, issue.2, pp.223-231, 2007.
DOI : 10.1016/j.compstruct.2005.07.003

Y. Liu, N. Nishimura, and Y. Otani, Large-scale modeling of carbon-nanotube composites by a fast multipole boundary element method, Computational Materials Science, vol.34, issue.2, pp.173-187, 2005.
DOI : 10.1016/j.commatsci.2004.11.003

S. Nemat-nasser, T. Iwakuma, and M. Hejazi, On composites with periodic structure, Mechanics of Materials, vol.1, issue.3, pp.239-267, 1982.
DOI : 10.1016/0167-6636(82)90017-5

P. Suquet, A simplified method for the prediction of homogenized elastic properties of composites with a periodic structure, Comptes-rendus de l'Académie des sciences série II, pp.311-769, 1990.

H. Moulinec and P. Suquet, A fast numerical method for computing the linear and nonlinear properties of composites, Comptes-rendus de l'Académie des sciences série II, pp.318-1417, 1994.

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.1-2, 1998.
DOI : 10.1016/S0045-7825(97)00218-1
URL : https://hal.archives-ouvertes.fr/hal-01282728

D. J. Eyre and G. W. Milton, A fast numerical scheme for computing the response of composites using grid refinement, Electromagnetics Research Symposium (PIERS 98), pp.41-47, 1998.
DOI : 10.1051/epjap:1999150

J. C. Michel, H. Moulinec, and P. , Suquet, A computational scheme for linear and non-linear composites with arbitrary phase contrast, 5th US National Congress on Computational Mechanics, pp.1-2, 1999.

V. Vinogradov and G. W. Milton, An accelerated FFT algorithm for thermoelastic and non-linear composites, International Journal for Numerical Methods in Engineering, vol.34, issue.1-2, pp.1678-1695, 2008.
DOI : 10.1002/nme.2375

N. Bilger, F. Auslender, M. Bornert, H. Moulinec, and A. Zaoui, 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

M. Idiart, F. Willot, Y. Pellegrini, and P. P. Castañeda, Infinite-contrast periodic composites with strongly nonlinear behavior: Effective-medium theory versus full-field simulations, International Journal of Solids and Structures, vol.46, issue.18-19, pp.18-19, 2009.
DOI : 10.1016/j.ijsolstr.2009.05.009
URL : https://hal.archives-ouvertes.fr/hal-00412539

C. Toulemonde, R. Masson, and J. Gharib, Modeling the effective elastic behavior of composites: a mixed Finite Element and homogenisation approach, Comptes Rendus M??canique, vol.336, issue.3, pp.275-282, 2008.
DOI : 10.1016/j.crme.2007.11.024

Z. Hashin and S. Shtrikman, On some variational principles in anisotropic and nonhomogeneous elasticity, Journal of the Mechanics and Physics of Solids, vol.10, issue.4, pp.335-342, 1962.
DOI : 10.1016/0022-5096(62)90004-2

R. Zeller and P. H. Dederichs, Elastic Constants of Polycrystals, Physica Status Solidi (b), vol.241, issue.2, pp.831-842, 1973.
DOI : 10.1002/pssb.2220550241

A. Bensoussan, J. L. Lions, and G. Papanicolaou, Asymptotic analysis for periodic structures, of Studies in mathematics and its applications, 1978.

E. Sanchez-palencia, Comportements local et macroscopique d'un type de milieux physiques heterogenes, International Journal of Engineering Science, vol.12, issue.4, pp.331-351, 1974.
DOI : 10.1016/0020-7225(74)90062-7

E. Sanchez-palencia, Non-homogeneous media and vibration theory, Lecture Notes in Physics, vol.127, 1980.

E. Kröner, Bounds for effective elastic moduli of disordered materials, Journal of the Mechanics and Physics of Solids, vol.25, issue.2, pp.137-155, 1977.
DOI : 10.1016/0022-5096(77)90009-6

H. Moulinec and P. Suquet, Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties, Physica B: Condensed Matter, vol.338, issue.1-4, pp.1-4, 2003.
DOI : 10.1016/S0921-4526(03)00459-9

J. R. Willis, Bounds and self-consistent estimates for the overall properties of anisotropic composites, Journal of the Mechanics and Physics of Solids, vol.25, issue.3, pp.185-202, 1977.
DOI : 10.1016/0022-5096(77)90022-9

F. Willot and Y. Pellegrini, Fast Fourier transform computations and build-up of plastic deformation in 2D, elasticperfectly plastic, pixelwise disordered porous media, Continuum models and discrete systems CMDS 11, Presses Mines ParisTech, pp.443-450, 2008.
URL : https://hal.archives-ouvertes.fr/cea-00412544

A. W. Knapp, Basic real analysis, 2005.