Affiliation:
1. Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G8
Abstract
In this paper, we consider the anti-plane shear problem of an elliptic inclusion embedded in an infinite, isotropic, elastic medium, subjected at infinity to a uniform stress field. Using complex variable methods and the theory of analytic functions, we prove that the state of deformation in the inclusion is a simple shear if and only if the curve enclosing the inclusion is an ellipse.
Subject
Mechanics of Materials,General Materials Science,General Mathematics
Cited by
117 articles.
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