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

In this paper, we present a critical survey on homogenization theory and related techniques
applied to micromechanics. The validation of homogenization results, the characterization of …

We present a detailed description of the numerical implementation, within the widely used
viscoplastic self-consistent (VPSC) code, of a rigorous second-order (SO) homogenization …

It is recognized that the convergence of FFT‐based iterative schemes used for computing
the effective properties of elastic composite materials drastically depends on the contrast …

A new method for determining the overall behavior of composite materials comprised of
nonlinear inelastic constituents is presented. Upon use of an implicit time-discretization …

In this paper, the incremental formulation for the mean-field homogenization (MFH) of elasto-
plastic composites is enriched by including second statistical moments of per-phase strain …

The nonlinear behavior of materials with three-dimensional microstructure is investigated
using a data-driven approach. The key innovation is the combination of two hierarchies of …

The aim of this study is to estimate as accurately as possible the effective response, as well
as the statistics of the fields (first and second moments), in elasto-(visco) plastic …

This work presents a combined numerical and theoretical study of the effective behavior and
statistics of the local fields in random viscoplastic composites. The full-field numerical …

This paper presents an extension of the recently developed incremental-secant mean-field
homogenization (MFH) procedure in the context of elasto-plasticity to elasto-visco-plastic …