Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …

The overall, macroscopic constitutive behavior of most materials of technological importance
such as fiber-reinforced composites or polycrystals is very much influenced by the …

We modify the Green operator involved in Fourier-based computational schemes in
elasticity, in 2D and 3D. The new operator is derived by expressing continuum mechanics in …

For more than a decade, numerical methods for periodic elasticity, based on the fast Fourier
transform, have been used successfully as alternatives to more conventional (fem, bem) …

In recent years the FFT-based homogenization method of Moulinec and Suquet has been
established as a fast, accurate and robust tool for obtaining effective properties in linear …

In this short note, we present a new technique to accelerate the convergence of a FFT-based
solver for numerical homogenization of complex periodic media proposed by Moulinec and …

The response of polycrystals to plastic deformation is studied at the level of variations within
individual grains, and comparisons are made to theoretical calculations using crystal …

The purpose of this work is comparing three strategies for dealing with inhomogeneities of
non-elliptical shape in the context of homogenization methods. First, classical mean-field …

The advances in material characterization by means of imaging techniques require powerful
computational methods for numerical analysis. The present contribution focuses on …

A numerical analysis of the reinforcing particle shape and interface strength effects on the
deformation and fracture behavior of an Al/Al2O3 composite is performed. Three …