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Analytic results for roots of two irrational functions in elastic wave propagation

Published online by Cambridge University Press:  17 February 2009

L. M. Brock
L. M. Brock
Affiliation:
Department of Mechanical Engineering, University of Kentucky, Lexington, Kentucky 40506, USA
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Abstract

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The velocities of Rayleigh surface waves and, when they exist, Stoneley interface waves can be obtained as the roots of two irrational functions. Here previous results are extended by using standard operations related to the Wiener-Hopf technique to provide expressions in quadrature for these roots.

Type
Research Article
Information
The ANZIAM Journal , Volume 40 , Issue 1 , July 1998 , pp. 72 - 79
Copyright
Copyright © Australian Mathematical Society 1998

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