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The elastodynamic Green's tensor for the 2D half-space

Published online by Cambridge University Press:  17 February 2009

Peter W. Buchen
Peter W. Buchen
Affiliation:
Department of Applied Mathematics, University of Sydney, N.S.W., Australia, 2006
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Abstract

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An exact algebraic representation for the 2D elastodynamic Green's tensor is derived. A new displacement potential decomposition is employed which yields, in conjunction with the Pekeris–Cagniard–de Hoop method, the exact representation. The first motions of the major arrivals are evaluated in terms of their polarizations, radiation patterns, geometrical spreading and wave-front singularities. The tensorial components of the Rayleigh wave on the free surface are found and solutions for dipolar line source discussed. We also investigate diffracted phases first noticed by Lapwood in his 1949 paper [13].

Type
Research Article
Information
The ANZIAM Journal , Volume 20 , Issue 4 , December 1978 , pp. 385 - 400
Copyright
Copyright © Australian Mathematical Society 1978

References

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