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

The objective of this contribution is to present a unifying review on strain-driven
computational homogenization at finite strains, thereby elaborating on computational …

Composite materials and structures are inherently inhomogeneous and anisotropic across
multiple scales. Multiscale modelling offers opportunities to understand the coupling of …

We investigate volume-element sampling strategies for the stochastic homogenization of
particle-reinforced composites and show, via computational experiments, that an improper …

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 describe an algorithm for generating fiber-filled volume elements for use in
computational homogenization schemes. The algorithm permits to prescribe both a length …

In this article we introduce a Lippmann–Schwinger formulation for the unit cell problem of
periodic homogenization of elasticity at finite strains incorporating arbitrary mixed boundary …

One source of microstructural variability in fiber reinforced polymers is variability in fiber
volume fraction. Despite large scatter in fiber volume fraction, an average value is usually …

A technique is proposed that uses a multi-scale approach to calculate transport properties of
compressed felts using only image analysis and numerical calculations. From the image …

It is well-known by now that the Hashin–Shtrikman bounds imply that the two-point
correlation functions are not in general sufficient to estimate accurately the response of …