Effective properties of composite materials with periodic microstructure: A computational approach
type: Item
instance of: scholarly article
title: Effective properties of composite materials with periodic microstructure: A computational approach
zbMATH Open document ID: 0964.74054
DOI: 10.1016/S0045-7825(98)00227-8
author: Jean-Claude Michel
author: Hervé Moulinec
author: Pierre Suquet
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-03-27T00:00:00Z
review text: After a review of the state of knowledge about composites with periodic microstructure, the authors discuss two different numerical methods. For the first one, which is based on the finite element method (FEM), they use the periodicity conditions and the concept of averaged strain or stress, respectively, for linearly elastic, elastoplastic and power-law materials. In the second one, the authors expoit fast Fourier transform method (FFTM) and the concept of homogeneous reference material. At last, three test examples and three advanced ones are analyzed numerically using FEM and FFTM. In the linearly elastic case for a moderate contrast between the phases, the FFTM is must faster than FEM; in the strongly nonlinear case and for a very large contrast between the phases, the FFTM, however, does not converge.
Mathematics Subject Classification ID: 74Q15
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74S25
zbMATH DE Number: 1399387
zbMATH Keywords: linearly elastic materials
zbMATH Keywords: elastoplastic materials
zbMATH Keywords: averaged stress
zbMATH Keywords: averaged strain
zbMATH Keywords: composites with periodic microstructure
zbMATH Keywords: finite element method
zbMATH Keywords: power-law materials
zbMATH Keywords: fast Fourier transform
zbMATH Keywords: homogeneous reference material
reviewed by: Hans Bufler
MaRDI profile type: Publication
Wikidata QID: Q30052137
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description: scientific article; zbMATH DE number 1399387