G. W. Milton and N. Phan-thien, New Bounds on Effective Elastic Moduli of Two-Component Materials, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.380, issue.1779, pp.305-331, 1779.
DOI : 10.1098/rspa.1982.0044

J. Widjajakusuma, B. Biswal, and R. Hilfer, Quantitative prediction of effective material properties of heterogeneous media, Computational Materials Science, vol.16, issue.1-4, pp.1-470, 1999.
DOI : 10.1016/S0927-0256(99)00047-6

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

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

M. Ostoja-starzewski, Material spatial randomness: From statistical to representative volume element, Probabilistic Engineering Mechanics, vol.21, issue.2, pp.112-132, 2006.
DOI : 10.1016/j.probengmech.2005.07.007

S. Brisard, K. Sab, and L. Dormieux, New boundary conditions for the computation of the apparent stiffness of statistical volume elements, Journal of the Mechanics and Physics of Solids, vol.61, issue.12, pp.612638-2658, 2013.
DOI : 10.1016/j.jmps.2013.08.009

URL : https://hal.archives-ouvertes.fr/hal-00871767

J. Korringa, Theory of elastic constants of heterogeneous media, Journal of Mathematical Physics, vol.14, issue.4, pp.509-513, 1973.
DOI : 10.1063/1.1666346

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

E. Kröner, On the Physics and Mathematics of Self-Stresses, Topics in Applied Continuum Mechanics, pp.22-38, 1974.
DOI : 10.1007/978-3-7091-4188-5_2

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, issue.13-14, pp.13-143647, 2003.
DOI : 10.1016/S0020-7683(03)00143-4

P. , P. Castañeda, and J. R. Willis, The effect of spatial distribution on the effective behavior of composite materials and cracked media, Journal of the Mechanics and Physics of Solids, vol.43, issue.12, pp.1919-1951, 1995.

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