SfePy (simple finite elements in Python) is a software for solving various kinds of problems
described by partial differential equations in one, two, or three spatial dimensions by the …

This unique volume presents the state of the art in the field of multiscale modeling in solid
mechanics, with particular emphasis on computational approaches. For the first time …

Abstract The Heterogeneous Multiscale Finite Element Method (FE-HMM) is a two-scale
FEM based on asymptotic homogenization for solving multiscale partial differential …

SfePy (Simple Finite Elements in Python) is a framework for solving various kinds of
problems (mechanics, physics, biology,...) described by partial differential equations in two …

In the past decades, considerable progress had been made in bridging the mechanics of
materials to other disciplines, eg downscaling to the field of materials science or upscaling to …

This paper presents the detailed implementation and computational aspects of a novel
second-order computational homogenization procedure, which is suitable for a multi-scale …

This paper addresses a first-order and a second-order framework for the multiscale
modelling of heterogeneous and multiphase materials. The macroscopically required (first …

The present study deals with a second-order two-scale computational homogenization
procedure for modeling deformation responses of heterogeneous materials at small strains …

The continuous increase of computational capacity has encouraged the extensive use of
multiscale techniques to simulate the material behaviour on several fields of knowledge. In …

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