Homogenization methods and multiscale modeling: Nonlinear problems

M.G.D. Geers, V. Kouznetsova, Karel Matouš, J. Yvonnet

Research output: Chapter in Book/Report/Conference proceedingEntry for encyclopedia/dictionaryAcademicpeer-review

Abstract

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 some recent activities in the field, with a particular focus on nonlinear homogenization methods. The two‐scale nonlinear computational homogenization (CH) scheme for mechanics is presented, along with details on representative unit cell aspects and statistics. Model performance is advocated through a decoupled implementation and multiscale schemes based on the nonuniform transformation field analysis. High‐performance parallel multiscale implementations of the CH scheme are addressed in more detail.
Original languageEnglish
Title of host publicationEncyclopedia of Computational Mechanics Second Edition
EditorsErwin Stein, René de Borst, Thomas Hughes
Place of PublicationHoboken
PublisherWiley
Pages1-34
Number of pages34
ISBN (Electronic)978-1-119-00379-3
DOIs
Publication statusPublished - 2017

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