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The self-similar problem of the expanding elliptical crack in an anisotropic solid

Published online by Cambridge University Press:  24 October 2008

R. Burridge  and
J. R. Willis
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Abstract

The title problem is solved by a semi-inverse method involving plane wave expansions. Expressions are given for stress singularities near the crack edge and for the radiation patterns produced by the crack. The case of an elliptical crack in an isotropic medium expanding under shear is examined in detail. Finally, some generalizations are discussed. Solutions are outlined for when the centre of the crack is allowed to move and for a self-similar phase transformation problem, in which a phase change takes place in an expanding ellipsoidal region.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 2 , September 1969 , pp. 443 - 468
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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