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, 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

J. Guilleminot, A. Noshadravan, R. Ghanem, and C. Soize, A probabilistic model for bounded elasticity tensor random fields with application to polycrystalline microstructures, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.17-20, pp.1637-1648, 2011.
DOI : 10.1016/j.cma.2011.01.016

URL : https://hal.archives-ouvertes.fr/hal-00684305

J. Guilleminot and C. Soize, Non-Gaussian positive-definite matrix-valued random fields with constrained eigenvalues: Application to random elasticity tensors with uncertain material symmetries, International Journal for Numerical Methods in Engineering, vol.31, issue.3, pp.1128-1151, 2011.
DOI : 10.1002/nme.3212

URL : https://hal.archives-ouvertes.fr/hal-00684290

J. Guilleminot and C. Soize, Generalized stochastic approach for constitutive equation in linear elasticity: a random matrix model, International Journal for Numerical Methods in Engineering, vol.94, issue.108, pp.613-635, 2012.
DOI : 10.1002/nme.3338

URL : https://hal.archives-ouvertes.fr/hal-00699345

A. Noshadravan, R. Ghanem, J. Guilleminot, I. Atodaria, and P. Peralta, VALIDATION OF A PROBABILISTIC MODEL FOR MESOSCALE ELASTICITY TENSOR OF RANDOM POLYCRYSTALS, International Journal for Uncertainty Quantification, vol.3, issue.1, pp.73-100, 2013.
DOI : 10.1615/Int.J.UncertaintyQuantification.2012003901

URL : https://hal.archives-ouvertes.fr/hal-00808974

Q. Ta, D. Clouteau, and R. Cottereau, Modeling of random anisotropic elastic media and impact on wave propagation, Revue europ??enne de m??canique num??rique, vol.19, issue.1-3, pp.241-253, 2010.
DOI : 10.3166/ejcm.19.241-253

URL : https://hal.archives-ouvertes.fr/hal-00709537

J. Guilleminot and C. Soize, Random fields with symmetry properties: application to the mesoscopic modeling of elastic random media, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00854121

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

C. Soize, Construction of probability distributions in high dimension usign the maximum entropy principle: Applications to stochastic processes, random fields and random matrices, International Journal for Numerical Methods in Engineering, vol.76, pp.1585-1611, 2008.