Elastic moduli of two dimensional materials with polygonal and elliptical holes

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

doi:10.1115/1.3122813

Elastic moduli of two dimensional materials with polygonal and elliptical holes

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

Arizona State University

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96 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 language	English (US)
Pages (from-to)	18-28
Number of pages	11
Journal	Applied Mechanics Reviews
Volume	47
Issue number	1
DOIs	https://doi.org/10.1115/1.3122813
State	Published - Jan 1994

ASJC Scopus subject areas

Mechanical Engineering

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AB - 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.

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Elastic moduli of two dimensional materials with polygonal and elliptical holes

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