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The diffraction of long elastic waves by elliptic cylindrical cavities

Published online by Cambridge University Press:  17 February 2009

V. T. Buchwald  and
T. Tran Cong
T. Tran Cong
Affiliation:
School of Mathematics, University of New South Wales, Kensington, N.S.W. 2033.
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Abstract

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The method of asymptotic matching introduced by Buchwald [I] is adapted to the case of the diffraction of plane longitudinal and shear waves by cylindrical cavities with elliptic cross-sections. It is assumed that the dimensions of the cross section are small compared with the wavelength of the incident waves. Asymptotic formulae for the scattered wave potentials are obtained.

The method is valid when the cavity reduces to a two-dimensional stress free crack whose length is small compared with the wavelength. Formulae for the scattered waves, and for the stress-concentrations at the crack tips are obtained.

Type
Research Article
Information
The ANZIAM Journal , Volume 26 , Issue 1 , July 1984 , pp. 108 - 118
Copyright
Copyright © Australian Mathematical Society 1984

References

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