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slipping interface

Journal of Mechanics (1)

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1 results

A Rigid Elliptic Inclusion in an Elastic Medium With a Slipping Interface
Yung-Ming Wang
Journal:

Journal of Mechanics / Volume 19 / Issue 1 / March 2003

Published online by Cambridge University Press:

05 May 2011, pp. 197-202

Print publication:

March 2003
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When an elastic medium containing an elliptic inclusion with a sliding interface is subjected to a remote pure shear, it was found that the inclusion behaves like a cavity. Since a circle is a special case of an ellipse, the solution should be applicable to a circular inclusion as well. However, it breaks down when the ellipse degenerates into a circle. This implies that the solution is questionable. In this paper the problem is examined by considering a rigid elliptic inclusion in an elastic medium with sliding interface between them. By taking account of a large rotation of the inclusion instead of a small rotation, we obtain a uniformly valid solution applicable to a circular inclusion as well as to an elliptic inclusion. The solution reveals a remarkable snapping behavior of the inclusion under a critical load. A simple condition for its occurrence is derived.