Elastic moduli of two dimensional materials with polygonal and elliptical holes

I. Jasiuk, J. Chen, M. F. Thorpe

Research output: Contribution to journalArticle

87 Scopus citations

Abstract

We study the effective elastic moduli of two-dimensional composite materials containing polygonal holes. In the analysis we use a complex variable method of elasticity involving a conformal transformation. Then we take a far field result and derive the effective elastic constants of composites with a dilute concentration of polygonal holes. In the discussion we use the recently-stated Cherkaev-Lurie- Milton theorem, which gives general relations between the effective elastic constants of two-dimensional composites. We also discuss known results for elliptical holes in the context of the present work.

Original languageEnglish (US)
Pages (from-to)18-28
Number of pages11
JournalApplied Mechanics Reviews
Volume47
Issue number1
DOIs
StatePublished - Jan 1994

ASJC Scopus subject areas

  • Mechanical Engineering

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