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Integral characteristics of elastic inclusions and cavities in the two-dimensional theory of elasticity

Published online by Cambridge University Press:  16 July 2009

A. B. Movchan
A. B. Movchan
Affiliation:
School of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, UK
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Abstract

Integral characteristics, such as elastic polarization matrices of elastic inclusions and cavities, are described. The matrix of elastic polarization of a finite cavity is constructed in the case of the two-dimensional Lamé operator under the assumption that the geometry of the domain occupied by the cavity is defined by a conformal mapping from the unit disk. Examples and applications of these integral characteristics in the theory of cracks are considered.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 3 , Issue 1 , March 1992 , pp. 21 - 30
Copyright
Copyright © Cambridge University Press 1992

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