Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-26T14:26:52.906Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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