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

This is a viewpoint paper on recent progress in the understanding of the microstructure–
property relations of advanced high-strength steels (AHSS). These alloys constitute a class …

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

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 …

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 discuss how Dirichlet boundary conditions can be directly imposed for the Moulinec–
Suquet discretization on the boundary of rectangular domains in iterative schemes based on …

The FFT‐based homogenization method of Moulinec–Suquet has recently emerged as a
powerful tool for computing the macroscopic response of complex microstructures for elastic …

We present an algorithm for generating volume elements of short fiber reinforced plastic
microstructures for prescribed fourth order fiber orientation tensor, fiber aspect ratio and …

Porosity and permeability are the key factors in assessing the hydrocarbon productivity of
unconventional (shale) reservoirs, which are complex in nature due to their heterogeneous …

To compute the effective properties of random heterogeneous materials, a number of
different boundary conditions are used to define the apparent properties on cells of finite …