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

This book covers methods of Mathematical Morphology to model and simulate random sets
and functions (scalar and multivariate). These models concern many physical situations in …

We present an approach to solving problems in computational micromechanics that is
amenable to massively parallel calculations through the use of graphical processing units …

Fully resolving dynamics of materials with rapidly varying features involves expensive fine-
scale computations which need to be conducted on macroscopic scales. The theory of …

We show that under suitable hypotheses on the nonporous material law and a geometric
regularity condition on the pore space, Moulinec‐Suquet's basic solution scheme converges …

Rubber blends are ubiquitous in countless technological applications. More often than not,
rubber blends exhibit complex interpenetrating microstructures, which are thought to have a …

Fourier‐based approaches are a well‐established class of methods for the theoretical and
computational characterization of microheterogeneous materials. Driven by the advent of …

The Fourier series method is used to solve the periodic homogenization problem for
conductive materials containing voids. The problems involving voids are special cases of …

In this work, the self-consistent clustering analysis (SCA) framework is extended to include
homogenization and full field analysis of 3D anisotropic woven composite Representative …

Abstract Fast Fourier Transform (FFT) based methods are becoming increasingly popular for
modeling the texture evolution and local mechanical response of polycrystalline materials …