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Some elastostatic and potential problems for an elliptic disc

Published online by Cambridge University Press:  24 October 2008

L. J. Walpole
L. J. Walpole
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Extract

We consider some elastostatic and related potential problems in which an unbounded uniform medium contains a plane elliptic disc as an inhomogeneity. Various appropriate conditions on the disc and at infinity are specified. These problems have many physical applications. In the elastostatic case the disc can be a crack or rigid inclusion, for example. The potential problems include the classical one of finding the electrostatic field around an elliptic disc charged to a given potential.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 225 - 235
Copyright
Copyright © Cambridge Philosophical Society 1970

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