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Circular inclusion in an infinite elastic medium with a circular hole

Published online by Cambridge University Press:  24 October 2008

R. D. Bhargava  and
O. P. Kapoor
R. D. Bhargava
Affiliation:
Indian Institute of Technology, Kanpur
O. P. Kapoor
Affiliation:
Indian Institute of Technology, Kanpur
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Abstract

This paper deals with the two-dimensional problem of a circular inclusion undergoing spontaneous dimensional changes in an infinite elastic medium with a circular hole. This provides a more realistic model for some physical phenomena where inclusions have found applications. The effect of a concentrated force acting at an arbitrary point of an infinite medium with a circular hole has been found as an auxiliary result. After the evaluation of the effect of a concentrated force, Eshelby's. point force approach (1) has been used to get an exact solution to the inclusion problem.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 675 - 682
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1) Bhargava, R. D. and Jaswon, M. A. Proc. Cambridge Philos. Soc. 57 (1961), 669–680.Google Scholar
(2) Eshelby, J. D. Proc. Roy. Soc. London, Ser. A, 241 (1957), 376–396.Google Scholar
(3) Green, A. E. and Zerna, W. Theoretical elasticity (Oxford, 1954).Google Scholar
(4) Muskhelishvili, N. I. Some basic problems of the mathematical theory of elasticity (Noord-hoff; Groningen, 1953).Google Scholar