R. Brenner, Investigation of the Effective Response of 2-1-2 Piezoelectric Composites, Procedia IUTAM. IUTAM Symposium on Linking Scales in Computations: From Microstructure to Macro-Scale Properties, vol.3, pp.292-300, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00814017

S. Brisard and L. Dormieux, FFT-Based Methods for the Mechanics of Composites: A General Variational Framework, Computational Materials Science, vol.49, pp.663-671, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00722339

S. Brisard and L. Dormieux, 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.197-212, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00722361

C. Bellis and P. Suquet, Geometric Variational Principles for Computational Homogenization, In: Journal of Elasticity, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01935795

Y. J. Cao, A Novel FFT-Based Phase Field Model for Damage and Cracking Behavior of Heterogeneous Materials, In: International Journal of Plasticity, vol.133, p.102786, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02615664

L. Chen, An Integrated Fast Fourier Transform-Based Phase-Field and Crystal Plasticity Approach to Model Recrystallization of Three Dimensional Polycrystals, Computer Methods in Applied Mechanics and Engineering, vol.285, pp.829-848, 2015.

Y. Chen, A FFT Solver for Variational Phase-Field Modeling of Brittle Fracture, Computer Methods in Applied Mechanics and Engineering, vol.349, pp.167-190, 2019.

T. W. De-geus, Finite Strain FFT-Based Non-Linear Solvers Made Simple, Computer Methods in Applied Mechanics and Engineering, vol.318, pp.412-430, 2017.

D. J. Eyre and G. W. Milton, A Fast Numerical Scheme for Computing the Response of Composites Using Grid Refinement, The European Physical Journal -Applied Physics, vol.6, pp.41-47, 1999.

F. S. Göküzüm and M. Keip, An Algorithmically Consistent Macroscopic Tangent Operator for FFT-Based Computational Homogenization, In: International Journal for Numerical Methods in Engineering, vol.113, pp.581-600, 2018.

L. Gélébart and R. Mondon-cancel, Non-Linear Extension of FFT-Based Methods Accelerated by Conjugate Gradients to Evaluate the Mechanical Behavior of Composite Materials, In: Computational Materials Science, vol.77, pp.430-439, 2013.

A. Hadjeb, Analyse Des Actions Thermiques Sur Les Ouvrages d'art En Béton, 1991.

Z. Hashin and S. Shtrikman, A Variational Approach to the Theory of the Elastic Behaviour of Polycrystals, In: Journal of the Mechanics and Physics of Solids, vol.10, pp.343-352, 1962.

Z. Hashin and S. Shtrikman, On Some Variational Principles in Anisotropic and Nonhomogeneous Elasticity, In: Journal of the Mechanics and Physics of Solids, vol.10, pp.335-342, 1962.

M. Kabel, Efficient Fixed Point and Newton-Krylov Solvers for FFT-Based Homogenization of Elasticity at Large Deformations, In: Computational Mechanics, vol.54, pp.1497-1514, 2014.

M. Kabel, Mixed Boundary Conditions for FFT-Based Homogenization at Finite Strains, In: Computational Mechanics, vol.57, pp.193-210, 2016.

J. Korringa, Theory of Elastic Constants of Heterogeneous Media, In: Journal of Mathematical Physics, vol.14, pp.509-513, 1973.

E. Kröner, On the Physics and Mathematics of Self-Stresses, Topics in Applied Continuum Mechanics, pp.22-38, 1974.

V. Monchiet and G. Bonnet, A Polarization-Based FFT Iterative Scheme for Computing the Effective Properties of Elastic Composites with Arbitrary Contrast, International Journal for Numerical Methods in Engineering, vol.89, pp.1419-1436, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00687816

J. C. Michel, A Computational Scheme for Linear and Non-Linear Composites with Arbitrary Phase Contrast, International Journal for Numerical Methods in Engineering, vol.52, pp.139-160, 2001.

H. Moulinec and F. Silva, Comparison of Three Accelerated FFT-Based Schemes for Computing the Mechanical Response of Composite Materials, International Journal for Numerical Methods in Engineering, vol.97, pp.960-985, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00787089

H. Moulinec and P. Suquet, In: Comptes rendus de l'Académie des sciences. Série II, Mécanique, physique, chimie, astronomie 318, vol.11, pp.1417-1423, 1994.

H. Moulinec and P. Suquet, A Numerical Method for Computing the Overall Response of Nonlinear Composites with Complex Microstructure, In: Computer Methods in Applied Mechanics and Engineering, vol.157, pp.69-94, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01282728

M. Schneider, An FFT-Based Fast Gradient Method for Elastic and Inelastic Unit Cell Homogenization Problems, Computer Methods in Applied Mechanics and Engineering, vol.315, pp.846-866, 2017.

M. Schneider, On the Barzilai-Borwein Basic Scheme in FFT-Based Computational Homogenization, International Journal for Numerical Methods in Engineering, vol.118, pp.482-494, 2019.

M. Schneider, A Dynamical View of Nonlinear Conjugate Gradient Methods with Applications to FFT-Based Computational Micromechanics, In: Computational Mechanics, vol.66, pp.239-257, 2020.

M. Schneider, FFT-Based Homogenization for Microstructures Discretized by Linear Hexahedral Elements, International Journal for Numerical Methods in Engineering, vol.109, pp.1461-1489, 2017.

M. Schneider, Computational Homogenization of Elasticity on a Staggered Grid, International Journal for Numerical Methods in Engineering, 2015.

M. Schneider, On Polarization-Based Schemes for the FFT-Based Computational Homogenization of Inelastic Materials, In: Computational Mechanics, vol.64, pp.1073-1095, 2019.

F. Willot, Fourier-Based Schemes for Computing the Mechanical Response of Composites with Accurate Local Fields, Comptes Rendus Mécanique, vol.343, pp.232-245, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01096757

J. Willis, Bounds and Self-Consistent Estimates for the Overall Properties of Anisotropic Composites, In: Journal of the Mechanics and Physics of Solids, vol.25, pp.185-202, 1977.

F. Willot and Y. Pellegrini, Fast Fourier Transform Computations and Build-up of Plastic Deformation in 2D, Elastic-Perfectly Plastic, Pixelwise Disordered Porous Media, 2008.
URL : https://hal.archives-ouvertes.fr/cea-00412544

D. Wicht, On Quasi-Newton Methods in Fast Fourier Transform-Based Micromechanics, International Journal for Numerical Methods in Engineering, vol.121, pp.1665-1694, 2020.

R. Zeller and P. H. Dederichs, Elastic Constants of Polycrystals, Physica Status Solidi (B), vol.55, pp.831-842, 1973.

J. Zeman, Accelerating a FFT-Based Solver for Numerical Homogenization of Periodic Media by Conjugate Gradients, In: Journal of Computational Physics, vol.229, pp.8065-8071, 2010.