In this work we address several issues pertaining to efficiency of the computational
approach geared towards modeling of inelastic behavior of a heterogeneous structure …

A key to the success of many modern structural components is the tailored behavior of the
material. A relatively inexpensive way to obtain desired structural scale (macroscopic) …

Computational homogenization is nowadays one of the most active research topics in
computational mechanics. Different strategies have been proposed, the main challenge …

Heterogeneous structures like composites often need a fine‐scale resolution of micro‐
effects which influence the macroscopic overall response. This is of particular relevance in …

In recent years, a tremendous growth of activity in multiscale modelling has been produced
to get the mechanical response of highly heterogenous materials, where the complexity of …

This paper is concerned with a finite element method (FEM) for multiscale problems in linear
elasticity. We propose a method which discretizes the physical problem directly by a …

This paper is concerned with a multiscale finite element method for numerically solving
second-order scalar elliptic boundary value problems with highly oscillating coefficients. In …

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 …

This paper reviews standard oversampling strategies as performed in the multiscale finite
element method (MsFEM). Common to those approaches is that the oversampling is …

Direct FE 2, recently proposed by Tan et al.(2020), is a concurrent multilevel modeling
approach, which homogenizes a representative volume element (RVE) to a Cauchy …