G. Cailletaud, G. Jeulin, R. , and P. , Size effect on elastic properties of random composites, Engineering Computations, vol.11, issue.2, pp.99-110, 1994.
DOI : 10.1108/02644409410799227

W. J. Drugan, Two exact micromechanics-based nonlocal constitutive equations for random linear elastic composite materials, Journal of the Mechanics and Physics of Solids, vol.51, issue.9, pp.1745-1772, 2003.
DOI : 10.1016/S0022-5096(03)00049-8

W. J. Drugan, W. , and J. R. , 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

A. A. Gusev, Representative volume element size for elastic composites: A numerical study, Journal of the Mechanics and Physics of Solids, vol.45, issue.9, pp.1449-1459, 1997.
DOI : 10.1016/S0022-5096(97)00016-1

M. Jardak and R. G. Ghanem, Spectral stochastic homogenization of divergence-type PDEs, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.6-8, pp.429-447, 2004.
DOI : 10.1016/j.cma.2003.05.001

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

T. Kanit, Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13-14, pp.3647-3679, 2003.
DOI : 10.1016/S0020-7683(03)00143-4

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

I. Monetto and W. J. Drugan, A micromechanics-based nonlocal constitutive equation for elastic composites containing randomly oriented spheroidal heterogeneities, Journal of the Mechanics and Physics of Solids, vol.52, issue.2, pp.359-393, 2004.
DOI : 10.1016/S0022-5096(03)00103-0

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

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

J. Quintanilla and S. Torquato, Microstructure functions for a model of statistically inhomogeneous random media, Physical Review E, vol.55, issue.2, pp.1558-1565, 1997.
DOI : 10.1103/PhysRevE.55.1558

A. P. Roberts and E. J. Garboczi, Elastic properties of model random three-dimensional open-cell solids, Journal of the Mechanics and Physics of Solids, vol.50, issue.1, pp.33-55, 2002.
DOI : 10.1016/S0022-5096(01)00056-4

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

R. J. Serfling, Approximation theorems of mathematical statistics, 1980.

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

J. R. Willis, Elasticity theory of composites Mechanics of Solids: The R. Hill 60th Anniversary Volume, pp.653-686, 1982.