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On the effective elasticity of a two-dimensional homogenised incompressible elastic composite

Published online by Cambridge University Press:  14 November 2011

Robert Lipton
Robert Lipton
Affiliation:
Mathematical Sciences Institute, Caldwell Hall, Cornell University, Ithaca, NY 14853, U.S.A.
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Synopsis

The set of effective elasticity tensors for all two-dimensional mixtures of two isotropic incompressible elastic materials taken in prescribed proportion is described. In two dimensions the effective tensors are completely characterised by bounds on their eigenvalues.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 1-2 , 1988 , pp. 45 - 61
Copyright
Copyright © Royal Society of Edinburgh 1988

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