C. Andraud, A. Geghdadi, E. Haslund, R. Hilfer, J. Lafait et al., Local entropy characterization of correlated random microstructures, Physica A: Statistical Mechanics and its Applications, vol.235, issue.3-4, pp.307-318, 1997.
DOI : 10.1016/S0378-4371(96)00354-8

K. T. Andrews and S. Wright, Stochastic homogenization of elliptic boundray-value problems with p data, Asymptotic Analysis, vol.17, pp.165-184, 1998.

M. J. Beran and J. J. Mccoy, Mean field variations in a statistical sample of heterogeneous linearly elastic solids, International Journal of Solids and Structures, vol.6, issue.8, pp.1035-1054, 1970.
DOI : 10.1016/0020-7683(70)90046-6

M. J. Beran and J. J. Mccoy, The use of strain gradient theory for analysis of random media, International Journal of Solids and Structures, vol.6, issue.9, pp.1267-1275, 1970.
DOI : 10.1016/0020-7683(70)90102-2

A. Bourgeat and A. Piatnitski, Approximations of effective coefficients in stochastic homogenization . Annales de l'Institut Henri Poincaré, Probabilité et Statistiques PR, vol.40, pp.153-165, 2004.

W. J. Drugan and J. R. Willis, A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites, Journal of the Mechanics and Physics of Solids, vol.44, issue.4, pp.497-524, 1996.
DOI : 10.1016/0022-5096(96)00007-5

V. V. Jikov, S. M. Kozlov, and O. A. Oleinik, Homogenization of differential operators and integral functionals, 1994.
DOI : 10.1007/978-3-642-84659-5

M. Kachanov, I. Sevostianov, and B. Shafiro, Explicit cross-property correlations for porous materials with anisotropic microstructures, Journal of the Mechanics and Physics of Solids, vol.49, issue.1, pp.1-25, 2001.
DOI : 10.1016/S0022-5096(00)00033-8

P. Krée and C. Soize, Mathematics of random phenomena, 1986.
DOI : 10.1007/978-94-009-4770-2

E. Kröner, Statistical continuum mechanics, 1971.
DOI : 10.1007/978-3-7091-2862-6

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

G. W. Milton, The theory of composites, 2002.
DOI : 10.1017/CBO9780511613357

S. Nemat-nasser and M. Hori, Micromechanics: overall properties of heterogeneous materials . Second revised edition, 1999.

M. Ostoja-starzewski, Random field models of heterogeneous materials, International Journal of Solids and Structures, vol.35, issue.19, pp.2429-2455, 1998.
DOI : 10.1016/S0020-7683(97)00144-3

G. Papanicolaou and S. R. Varadhan, Boundary value problems with rapidly oscillating random coefficients, Proceedings of Colloquium on Random fields, Rigorous results in statistical mechanics and quantum field theory, pp.835-873, 1981.

F. Poirion and C. Soize, Numerical methods and mathematical aspects for simulation of homogeneous and non homogeneous gaussian vector fields, Probabilistic Methods in Applied Physics, pp.17-53, 1995.
DOI : 10.1007/3-540-60214-3_50

URL : https://hal.archives-ouvertes.fr/hal-00770416

J. Quintanilla, Microstructure functions for random media with impenetrable particles, Physical Review E, vol.60, issue.5, pp.5788-5794, 1999.
DOI : 10.1103/PhysRevE.60.5788

Z. Ren and Q. Zheng, Effects of grain sizes, shapes, and distribution on minimum sizes of representative volume elements of cubic polycrystals, Mechanics of Materials, vol.36, issue.12, pp.1217-1229, 2004.
DOI : 10.1016/j.mechmat.2003.11.002

K. Sab, On the homogenization and the simulation of random materials, European Journal of Mechanics, A/Solids, vol.11, issue.5, pp.585-607, 1992.

C. Soize, Final version -15, Journal of Probabilistic Engineering Mechanics, 2007.

K. Sab and B. Nedjar, Periodization of random media and representative volume element size for linear composites, Comptes Rendus M??canique, vol.333, issue.2, pp.187-195, 2005.
DOI : 10.1016/j.crme.2004.10.003

URL : https://hal.archives-ouvertes.fr/hal-00121487

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

R. J. Serfling, Approximation theorems of mathematical statistics Simulations of multivariate and multidimensional random processes, Journal of Acoustical Society of America, vol.39, issue.1, pp.357-367, 1971.

C. Soize, Maximum entropy approach for modeling random uncertainties in transient elastodynamics, The Journal of the Acoustical Society of America, vol.109, issue.5, pp.1979-1996, 2001.
DOI : 10.1121/1.1360716

URL : https://hal.archives-ouvertes.fr/hal-00686287

C. Soize, Random-field model for the elasticity tensor of anisotropic random media, Comptes Rendus M??canique, vol.332, issue.12, pp.1007-1012, 2004.
DOI : 10.1016/j.crme.2004.09.008

URL : https://hal.archives-ouvertes.fr/hal-00686196

C. Soize, Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.1-3, pp.1-3, 2006.
DOI : 10.1016/j.cma.2004.12.014

URL : https://hal.archives-ouvertes.fr/hal-00686157

S. Torquato and G. Stell, ???point matrix probability functions for impenetrable spheres, The Journal of Chemical Physics, vol.82, issue.2, pp.980-987, 1985.
DOI : 10.1063/1.448475

S. Torquato, Effective stiffness tensor of composite media???I. Exact series expansions, Journal of the Mechanics and Physics of Solids, vol.45, issue.9, pp.1421-1448, 1997.
DOI : 10.1016/S0022-5096(97)00019-7

S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties, Applied Mechanics Reviews, vol.55, issue.4, 2002.
DOI : 10.1115/1.1483342

A. Zaoui, Continuum Micromechanics: Survey, Journal of Engineering Mechanics, vol.128, issue.8, pp.808-816, 2002.
DOI : 10.1061/(ASCE)0733-9399(2002)128:8(808)

URL : https://hal.archives-ouvertes.fr/hal-00111366

C. Soize, Final version -15, Journal of Probabilistic Engineering Mechanics, 2007.