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A Rigid Elliptic Inclusion in an Elastic Medium With a Slipping Interface

Published online by Cambridge University Press:  05 May 2011

Yung-Ming Wang
Yung-Ming Wang*
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Associate Professor
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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.

Keywords

Elliptic inclusionCavityLarge rotationSlipping interfaceSnapping
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 1 , March 2003 , pp. 197 - 202
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

REFERENCES

1Mura, T. and Furuhashi, R., “The Elastic Inclusion with a Sliding Interface,” ASME Journal of Applied Mechanics, 51, pp. 308–310 (1984).CrossRefGoogle Scholar
2Kouris, D. A., Tsuchida, E. and Mura, T., “An Anomaly of Sliding Inclusions,” Journal of Applied Mechanics, 53, pp. 724–726 (1986)CrossRefGoogle Scholar
3Tsuchida, E., Mura, T. and Dundurs, J., “The Elastic Field of an Elliptic Inclusion with a Slipping Interface,” Journal of Applied Mechanics, 53, pp. 103–107 (1986).CrossRefGoogle Scholar
4Mura, T., Furuhashi, R. and Mori, T., “Sliding Ellipsoidal Inhomogeneity under Shear,” Advanced Composite Materials and Structures, Sih, G. C. and Hsu, S. E., editors, VNU Science Press, pp. 113–122 (1987).Google Scholar
5Furuhashi, R., Huang, J. H. and Mura, T., “Sliding Inclusions and Inhomogeneities with Frictional Interfaces,” Journal of Applied Mechanics, 59, pp. 783–788 (1992).CrossRefGoogle Scholar
6Muskhelishvili, N. I., Some Basic Problems in the Mathematical Theory of Elasticity, 4th ed., Noordhoff, Groningen, The Netherlands (1954).Google Scholar
7England, A. H., Complex Variable Methods in Elasticity, John Wiley & Sons, Ltd., New York (1971).Google Scholar