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The Pólya–Szegö matrices in asymptotic models of dilute composites

Published online by Cambridge University Press:  01 December 1997

A. B. MOVCHAN  and
S. K. SERKOV
A. B. MOVCHAN
Affiliation:
School of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK
S. K. SERKOV
Affiliation:
School of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK
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Abstract

The Pólya–Szegö dipole tensors are employed for the analysis of plane elasticity problems in non-homogeneous media. Classes of equivalence for defects (cavities and rigid inclusions) are specified for the Laplacian operator and elasticity equations: composite materials with defects of the same class have the same effective elastic moduli. Explicit asymptotic formulae for effective compliance matrices of dilute composites are presented.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 8 , Issue 6 , December 1997 , pp. 595 - 621
Copyright
1997 Cambridge University Press

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