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Two-dimensional anisotropic elastic waves emanating from a point source

Published online by Cambridge University Press:  24 October 2008

Robert G. Payton
Robert G. Payton
Affiliation:
Mathematics Department, Adeiphi University, Garden City, New York 11530
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Abstract

A two (spatial) dimensional initially strained elastic body is excited by a point impulse. Expressions are found for the various displacement components in a form which is readily evaluated by residues. The solid itself is characterized by three parameters which depend on the material properties and the initial deformation. For the case when two of these parameters are equated, explicit expressions for the displacements are given along the Cartesian axes passing through the origin of the point impulse. Wave front singularities and lacunas are identified and discussed. Some typical numerical results are given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 191 - 210
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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