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Two-dimensional elastic inclusion problems

Published online by Cambridge University Press:  24 October 2008

M. A. Jaswon  and
R. D. Bhargava
M. A. Jaswon
Affiliation:
Imperial CollegeLondon
R. D. Bhargava
Affiliation:
Imperial CollegeLondon
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Abstract

An account is given of Eshelby's point-force method for solving elastic inclusion problems, and of his equations relating an in homogeneity to its equivalent inclusion. The introduction of complex variable formalism enables explicit solutions to be found in various two-dimensional cases. Strain energies are calculated. The equilibrium shape of an elliptic inclusion exhibits an interesting feature not previously expected. A fresh analysis of stress magnification effects is developed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 3 , July 1961 , pp. 669 - 680
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

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