S. C. Baxter, M. I. Hossain, and L. L. Graham, Micromechanics based random material property fields for particulate reinforced composites, International Journal of Solids and Structures, vol.38, issue.50-51, pp.9209-9220, 2001.
DOI : 10.1016/S0020-7683(01)00076-2

C. Desceliers, R. Ghanem, and C. Soize, Maximum likelihood estimation of stochastic chaos representations from experimental data, International Journal for Numerical Methods in Engineering, vol.11, issue.6, pp.978-1001, 2006.
DOI : 10.1002/nme.1576

URL : https://hal.archives-ouvertes.fr/hal-00686154

R. Ghanem and P. Spanos, Stochastic finite elements: a Spectral Approach, 1991.
DOI : 10.1007/978-1-4612-3094-6

L. L. Graham, S. R. Arwadea, D. J. Corrb, M. A. Gutierrez, D. Breyssed et al., Probability and Materials: from Nano- to Macro-Scale: A summary, Probabilistic Engineering Mechanics, vol.21, issue.3, pp.193-199, 2006.
DOI : 10.1016/j.probengmech.2005.10.005

L. L. Graham and S. C. Baxter, Simulation of local material properties based on moving-window GMC, Probabilistic Engineering Mechanics, vol.16, issue.4, pp.295-305, 2001.
DOI : 10.1016/S0266-8920(01)00022-4

J. Guilleminot, C. Soize, D. Kondo, and C. Binetruy, Theoretical framework and experimental procedure for modelling mesoscopic volume fraction stochastic fluctuations in fiber reinforced composites, International Journal of Solids and Structures, vol.45, issue.21, pp.5567-5583, 2008.
DOI : 10.1016/j.ijsolstr.2008.06.002

URL : https://hal.archives-ouvertes.fr/hal-00684818

C. Huet, Application of variational concepts to size effects in elastic heterogeneous bodies, Journal of the Mechanics and Physics of Solids, vol.38, issue.6, pp.813-841, 1990.
DOI : 10.1016/0022-5096(90)90041-2

E. T. Jaynes, Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.620-630, 1957.
DOI : 10.1103/PhysRev.106.620

E. T. Jaynes, Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.171-190, 1957.
DOI : 10.1103/PhysRev.106.620

D. Jeulin, Morphological characterization and models of random structures, Homogenization in Mechanics of Materials, 2009.

R. M. Lewis and V. Torczon, Pattern Search Algorithms for Bound Constrained Minimization, SIAM Journal on Optimization, vol.9, issue.4, pp.1082-1099, 1999.
DOI : 10.1137/S1052623496300507

R. M. Lewis and V. Torczon, A Globally Convergent Augmented Lagrangian Pattern Search Algorithm for Optimization with General Constraints and Simple Bounds, SIAM Journal on Optimization, vol.12, issue.4, pp.1075-1089, 2002.
DOI : 10.1137/S1052623498339727

M. Lò-eve, Probability Theory, 1977.

M. Ostoja-starzewski, Microstructural Randomness and Scaling in Mechanics of Materials, 2008.
DOI : 10.1201/9781420010275

F. Poirion and C. Soize, Numerical methods and mathematical aspects for simulation of homogeneous and nonhomogeneous gaussian vector fields, Probabilistic Methods in Applied Physics, pp.17-53, 1995.

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.

R. J. Serfling, Approximation Theorems of Mathematical Statistics, 1980.

J. Serra, Image analysis and Mathematical Morphology, 1982.

C. E. Shannon, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x

M. Shinozuka, Simulation of Multivariate and Multidimensional Random Processes, The Journal of the Acoustical Society of America, vol.49, issue.1B, pp.357-367, 1971.
DOI : 10.1121/1.1912338

B. W. Silverman, Density Estimation for Statistics and Data Analysis, 1986.
DOI : 10.1007/978-1-4899-3324-9

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.26-64, 2006.
DOI : 10.1016/j.cma.2004.12.014

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

C. Soize, Tensor-valued random fields for meso-scale stochastic model of anisotropic elastic microstructure and probabilistic analysis of representative volume element size, Probabilistic Engineering Mechanics, vol.23, issue.2-3, pp.307-323, 2008.
DOI : 10.1016/j.probengmech.2007.12.019

URL : https://hal.archives-ouvertes.fr/hal-00685154

C. Soize and R. Ghanem, Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure, SIAM Journal on Scientific Computing, vol.26, issue.2, pp.395-410, 2004.
DOI : 10.1137/S1064827503424505

URL : https://hal.archives-ouvertes.fr/hal-00686211

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

N. Wiener, The Homogeneous Chaos, American Journal of Mathematics, vol.60, issue.4, pp.897-936, 1938.
DOI : 10.2307/2371268

X. F. Xu and X. Chen, Stochastic homogenization of random elastic multi-phase composites and size quantification of representative volume element, Mechanics of Materials, vol.41, issue.2, pp.174-186, 2009.
DOI : 10.1016/j.mechmat.2008.09.002