A fast numerical method for computing the linear and nonlinear properties of composites. Comptes-rendus de l'Académie des sciences série II, pp.1417-1423, 1994. ,
A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.69-94, 1998. ,
DOI : 10.1016/S0045-7825(97)00218-1
URL : https://hal.archives-ouvertes.fr/hal-01282728
Estimation of local stresses and elastic properties of a mortar sample by FFT computation of fields on a 3D image, Cement and Concrete Research, vol.41, issue.5, pp.542-556, 2011. ,
DOI : 10.1016/j.cemconres.2011.02.003
URL : https://hal.archives-ouvertes.fr/hal-00553658
Fast fourier transform-based modeling for the determination of micromechanical fields in polycrystals, JOM, vol.16, issue.12, pp.13-18, 2011. ,
DOI : 10.1007/s11837-011-0037-y
FFT-based methods for the mechanics of composites: A general variational framework, Computational Materials Science, vol.49, issue.3, pp.663-671, 2010. ,
DOI : 10.1016/j.commatsci.2010.06.009
URL : https://hal.archives-ouvertes.fr/hal-00722339
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
A computational scheme for linear and non???linear composites with arbitrary phase contrast, International Journal for Numerical Methods in Engineering, vol.58, issue.12, pp.139-160, 2001. ,
DOI : 10.1002/nme.275
Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites, Computer Methods in Applied Mechanics and Engineering, vol.217, issue.220, pp.217-220197, 2012. ,
DOI : 10.1016/j.cma.2012.01.003
URL : https://hal.archives-ouvertes.fr/hal-00722361
Elastic Constants of Polycrystals, Physica Status Solidi (b), vol.241, issue.2, pp.831-842, 1973. ,
DOI : 10.1002/pssb.2220550241
A simplified method for the prediction of homogenized elastic properties of composites with a periodic structure. Comptes-rendus de l'Académie des sciences série II, pp.311769-774, 1990. ,
Bounds for effective elastic moduli of disordered materials, Journal of the Mechanics and Physics of Solids, vol.25, issue.2, pp.137-155, 1977. ,
DOI : 10.1016/0022-5096(77)90009-6
Theory and Practice of Finite Elements, Applied Mathematical Sciences, vol.159, 2004. ,
DOI : 10.1007/978-1-4757-4355-5
Solution of Sparse Indefinite Systems of Linear Equations, SIAM Journal on Numerical Analysis, vol.12, issue.4, pp.617-629, 1975. ,
DOI : 10.1137/0712047
LSQR: An algorithm for sparse linear equations and sparse least squares, ACM Transactions on Mathematical Software, vol.8, issue.1, pp.43-71, 1982. ,
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
Micromechanics of bone tissue-engineering scaffolds, based on resolution error-cleared computer tomography, Biomaterials, vol.30, issue.12, pp.302411-2419, 2009. ,
DOI : 10.1016/j.biomaterials.2008.12.048