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Diffraction of a plane longitudinal wave by a penny-shaped crack

Published online by Cambridge University Press:  24 October 2008

Ian A. Robertson
Ian A. Robertson
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow
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Extract

Introduction. The distribution of stress produced in the interior of an infinite elastic solid when a constant pressure is applied over the entire surface of a penny-shaped crack has been solved by Sneddon(6), (7). The problem considered here is the closely allied one of a plane longitudinal wave, harmonic in time, moving in the positive direction of the z-axis and impinging on the surface of a penny-shaped crack. The analysis follows the methods adopted for dealing with an axisymmetrical vibrating punch acting on a semi-infinite elastic solid, Robertson (5).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 229 - 238
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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