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

FFT methods have become a fundamental tool in computational micromechanics since they
were first proposed in 1994 by Moulinec and Suquet for the homogenization of composites …

Crystal Plasticity (CP) modeling is a powerful and well established computational materials
science tool to investigate mechanical structure–property relations in crystalline materials. It …

A significant improvement over existing models for the prediction of the macromechanical
response of structural materials can be achieved by means of a more refined treatment of …

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 …

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

In this article, we propose to discretize the problem of linear elastic homogenization by finite
differences on a staggered grid and introduce fast and robust solvers. Our method shares …

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 …

This paper reviews the current state of the art in the simulation of the mechanical behavior of
polycrystalline materials by means of computational homogenization. The key ingredients of …

Efficient spectral methods are developed to predict the micromechanical behaviour of
plastically deforming heterogeneous materials. The direct and mixed variational conditions …