Since the beginning of the industrial age, material performance and design have been in the
midst of innovation of many disruptive technologies. Today's electronics, space, medical …

Dislocation theory suggests that the plastic flow strength of a solid depends on strain
gradients in addition to strains. Hardening is due to the combined presence of geometrically …

Homogenizing the constitutive response of materials with nonlinear and history-dependent
behavior at the microscale is particularly challenging. In this case, the only option is …

Experimental solid mechanics is at a pivotal point where machine learning (ML) approaches
are rapidly proliferating into the discovery process due to significant advances in data …

The local and overall responses of nonlinear composites are classically investigated by the
Finite Element Method. We propose an alternate method based on Fourier series which …

This study reviews several problems which are specific of composites with periodic
microstructure composed of linear or nonlinear constituents. The theoretical background of …

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

This article focuses on computational multiscale methods for the mechanical response of
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …

Various multiscale methods are reviewed in the context of modelling mechanical and
thermomechanical responses of composites. They are developed both at the material level …

Publisher Summary This chapter elaborates some closely related methods developed to
estimate the effective behavior of nonlinear composites with random microstructures. The …