Laminar elastic composites with crystallographic symmetry

Richard James, Robert Lipton, Adam Lutoborski

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

Francfort and Murat derived an explicit formula for the effective elasticity tensor of a multiply layered composite made from two isotropic elastic materials in prescribed proportion. For multiply layered composites with crystallographic symmetry, it is shown that these formulae can be represented as a group average over the crystallographic group. The special case of cubically symmetric elastic composites made by multiple layering is considered. This article determines precisely the set of elasticity tensors that correspond to these composites. Extremal property of laminar composites is then used to obtain new optimal bounds on the effective shear moduli for elastic composites with cubic symmetry.

Original languageEnglish (US)
Pages (from-to)683-702
Number of pages20
JournalSIAM Journal on Applied Mathematics
Volume50
Issue number3
DOIs
StatePublished - Jan 1 1990
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics

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