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Low frequency scattering of elastic waves by a cavity using a matched asymptotic expansion method

Published online by Cambridge University Press:  17 February 2009

L. Bencheikh
L. Bencheikh
Affiliation:
Institut de Chimie Industrielle,University de Sétif, Sétif. 19000, Algérie.
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Abstract

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This work deals with low-frequency asymptotic solutions using the method of matched asymptotic expansions. It is based on two papers by Buchwald [3] and Buchwald and Tran Cong [4] who studied the diffraction of elastic waves by a small circular cavity and a small elliptic cavity, respectively, in an otherwise unbounded domain. Here we clarify and systematize some aspects of their work and extend it to the diffraction of elastic waves by a small cylindrical cavity with a hypotrochoidal boundary. Results for the case of an incident P-wave are compared, in the special case of an elliptic boundary, with the results from the numerical solution of the boundary integral equation method.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 1 , July 1995 , pp. 99 - 120
Copyright
Copyright © Australian Mathematical Society 1995

References

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