M. Arnst, D. Clouteau, and M. Bonnet, Inversion of probabilistic structural models using measured transfer functions, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6-8, pp.589-608, 2008.
DOI : 10.1016/j.cma.2007.08.011

S. Avril, M. Bonnet, A. S. Bretelle, M. Grédiac, F. Hild et al., Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements, Experimental Mechanics, vol.48, issue.4, pp.381-402, 2008.
DOI : 10.1007/s11340-008-9148-y

URL : https://hal.archives-ouvertes.fr/hal-00274639

S. Avril and F. Pierron, General framework for the identification of constitutive parameters from full-field measurements in linear elasticity, International Journal of Solids and Structures, vol.44, issue.14-15, pp.4978-5002, 2007.
DOI : 10.1016/j.ijsolstr.2006.12.018

URL : https://hal.archives-ouvertes.fr/emse-00502477

S. Avril, F. Pierron, Y. Pannier, and R. Rotinat, Stress reconstruction and constitutive parameter identification in plane-stress elastoplastic problems using surface measurements of deformation fields, Experimental Mechanics, pp.403-419, 2008.
URL : https://hal.archives-ouvertes.fr/emse-00446321

I. Babuska, F. Nobile, and R. Tempone, A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data, SIAM Journal on Numerical Analysis, vol.45, issue.3, pp.1005-1034, 2007.
DOI : 10.1137/050645142

I. Babuska, R. Tempone, and G. E. Zouraris, Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, pp.12-16, 2005.
DOI : 10.1016/j.cma.2004.02.026

S. C. Baxter and L. L. Graham, Characterization of Random Composites Using Moving-Window Technique, Journal of Engineering Mechanics, vol.126, issue.4, pp.389-404, 2000.
DOI : 10.1061/(ASCE)0733-9399(2000)126:4(389)

G. Besnard, F. Hild, and S. Roux, ???Finite-Element??? Displacement Fields Analysis from Digital Images: Application to Portevin???Le Ch??telier Bands, Experimental Mechanics, vol.404, issue.3, pp.789-803, 2006.
DOI : 10.1007/s11340-006-9824-8

M. Bonnet and A. Constantinescu, Inverse problems in elasticity, Inverse Problems, vol.21, issue.2, pp.1-50, 2005.
DOI : 10.1088/0266-5611/21/2/R01

URL : https://hal.archives-ouvertes.fr/hal-00111264

M. Bornert, F. Brémand, P. Doumalin, J. C. Dupré, M. Fazzini et al., Assessment of Digital Image Correlation Measurement Errors: Methodology and Results, Experimental Mechanics, vol.43, issue.4, pp.353-370, 2009.
DOI : 10.1007/s11340-008-9204-7

URL : https://hal.archives-ouvertes.fr/hal-00881043

F. Hild, B. Raka, M. Baudequin, S. Roux, and F. Cantelaube, Multiscale displacement field measurements of compressed mineral-wool samples by digital image correlation, Applied Optics, vol.41, issue.32, pp.6815-6828, 2002.
DOI : 10.1364/AO.41.006815

URL : https://hal.archives-ouvertes.fr/hal-00002901

F. Hild and S. Roux, Digital Image Correlation: from Displacement Measurement to Identification of Elastic Properties - a Review, Strain, vol.334, issue.Srie I, pp.69-80, 2006.
DOI : 10.1111/j.1475-1305.2006.00258.x

URL : https://hal.archives-ouvertes.fr/hal-00013816

F. Hild and S. Roux, Comparison of Local and Global Approaches to Digital Image Correlation, Experimental Mechanics, vol.39, issue.8, pp.1503-1519, 2012.
DOI : 10.1007/s11340-012-9603-7

URL : https://hal.archives-ouvertes.fr/hal-00750756

D. Jeulin, Microstructure modeling by random textures, Journal de Microscopie et de Spectroscopie Electroniques, vol.12, p.133140, 1987.

D. Jeulin, Morphological modeling of images by sequential random functions, Signal Processing, vol.16, issue.4, p.403431, 1989.
DOI : 10.1016/0165-1684(89)90033-9

D. Jeulin, Caractérisation morphologique et modèles de structures aléatoires, Homogénéisation en mécanique des matériaux 1, 2001.

C. L. Lawson and R. J. Hanson, Solving Least Squares Problems, 1974.
DOI : 10.1137/1.9781611971217

K. Madi, S. Forest, M. Boussuge, S. Gailliegue, E. Lataste et al., Finite element simulations of the deformation of fused-cast refractories based on X-ray computed tomography, Computational Materials Science, vol.39, issue.1, pp.224-229, 2007.
DOI : 10.1016/j.commatsci.2006.01.033

URL : https://hal.archives-ouvertes.fr/hal-00140558

J. Rethore, J. P. Tinnes, S. Roux, J. Y. Buffiere, and F. Hild, Extended three-dimensional digital image correlation (X3D-DIC), Comptes Rendus M??canique, vol.336, issue.8, pp.643-649, 2008.
DOI : 10.1016/j.crme.2008.06.006

URL : https://hal.archives-ouvertes.fr/hal-00322190

S. Roux and F. Hild, Digital Image Mechanical Identification (DIMI), Experimental Mechanics, vol.292, issue.4, pp.495-508, 2008.
DOI : 10.1007/s11340-007-9103-3

URL : https://hal.archives-ouvertes.fr/hal-00200974

S. Roux, F. Hild, and Y. Berthaud, Correlation image velocimetry: a spectral approach, Applied Optics, vol.41, issue.1, pp.108-115, 2002.
DOI : 10.1364/AO.41.000108

URL : https://hal.archives-ouvertes.fr/hal-00002900

S. Roux, F. Hild, P. Viot, and D. Bernard, Three-dimensional image correlation from X-ray computed tomography of solid foam, Composites Part A: Applied Science and Manufacturing, vol.39, issue.8, pp.1253-1265, 2008.
DOI : 10.1016/j.compositesa.2007.11.011

URL : https://hal.archives-ouvertes.fr/hal-01006730

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

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, Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.2150-2164, 2010.
DOI : 10.1061/9780784412237.ch08

URL : https://hal.archives-ouvertes.fr/hal-00684324

C. Soize, Stochastic Models of Uncertainties in Computational mechanics, Lecture Notes in Mechanics, vol.2, 2012.
DOI : 10.1061/9780784412237

URL : https://hal.archives-ouvertes.fr/hal-00749201

J. C. Spall, Introduction to Stochastic Search and Optimization, 2003.
DOI : 10.1002/0471722138

Q. A. 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

E. Walter and L. Pronzato, Identification of Parametric Models from Experimental Data, 1997.