Abstract
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.
Original language | English |
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Pages (from-to) | 197-202 |
Number of pages | 6 |
Journal | Journal of Mechanics |
Volume | 19 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2003 Jan 1 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanical Engineering
- Applied Mathematics