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Reflection/refraction of SH-waves at a corrugated interface between two different anisotropic and vertically heterogeneous elastic solid half-spaces

Published online by Cambridge University Press:  17 February 2009

Rajneesh Kumar
Affiliation:
Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, India.
Sushil K. Tomar
Affiliation:
Mathematics Department, Panjab University, Chandigarh 160 014, India; e-mail: sktomar@yahoo.com.
Asha Chopra
Affiliation:
Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, India.
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Abstract

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We investigate the reflection and transmission of SH-waves at a corrugated interface between two different anisotropic, heterogeneous elastic solid half-spaces. Both the media are assumed to be transversely isotropic and vertically heterogeneous. Rayleigh's method is followed and expressions for the reflection and transmission coefficients are obtained in closed form for the first-order approximation of the corrugation. It is found that these coefficients depend on corrugation and are affected by the anisotropy and heterogeneity of the media. Numerical computations for a particular model have been performed.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2003