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Response of corrugated interface on incident qSV-wave in monoclinic elastic half-spaces

Singh S. S., Lalvohbika J.

International Journal of Applied Mechanics and Engineering

2018

Vol. 23, no. 3

727--750

This paper is concerned with the problem of reflection and transmission of elastic waves due to an incident plane qSV-wave at a corrugated interface between two dissimilar monoclinic elastic half-spaces. Due to the corrugated nature of the interface, there exist regularly and irregularly reflected and transmitted elastic waves. Using Rayleigh’s method of approximation, the reflection and transmission coefficients of regular and irregular waves are obtained for the first order of approximation. We have found that these coefficients are functions of the angle of incidence, elastic constants, corrugation and the frequency parameter. These coefficients are obtained for a special type of interface, z =dcos py. We have computed these coefficients for a particular model and discussed the effects of corrugation and frequency parameter.

Reflection/refraction of SH waves at a corrugated interface between transversely isotropic and visco-elastic solid half-spaces

Tomar S., Kumar R., Chopra A.

Acta Geophysica Polonica

2002

Vol. 50, nr 2

231-249

The problem of reflection and transmission of SH waves at a corrugated interface between transversely isotropic half-space and visco-elastic half-space is investigated. Rayleigh's method is adopted and expressions of 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 of the interface and are affected by the elastic properties of the media. Numerical computations have been performed and the results obtained are presented graphically. Some earlier results, including those of Tomar and Saini (1997) and Asano (1960), have been obtained as particular cases of the problem.