Vol. 2, No. 1, 2007

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ISSN: 1559-3959
Shear waves at a corrugated interface between two dissimilar fiber-reinforced elastic half-spaces

Sanasam Sarat Singh and Sushil Kumar Tomar

Vol. 2 (2007), No. 1, 167–188
Abstract

A problem of reflection and transmission of shear waves (SH waves) at a corrugated interface between two distinct fiber-reinforced elastic half-spaces has been analyzed. Rayleigh’s method of approximation is used to determine the reflection and transmission coefficients. We find that (i) these coefficients are functions of the angle of incidence and the elastic parameters of the media, (ii) the coefficients corresponding to irregularly reflected and transmitted waves are proportional to the amplitude of the corrugated interface, and (iii) reflection and transmission coefficients of the regularly reflected and transmitted waves are greater than those of irregularly reflected and transmitted waves. The energy ratios of reflected and transmitted waves are also presented. Numerical computations are performed and the results obtained are presented graphically. Some earlier results by other workers are recovered by our treatment.

Keywords
SH waves, fiber reinforcement, Rayleigh's method of approximation, apparent velocity, reflection coefficient, transmission coefficient
Milestones
Received: 14 February 2006
Revised: 21 May 2006
Accepted: 1 July 2006
Published: 1 March 2007
Authors
Sanasam Sarat Singh
Department of Mathematics
Panjab University
Chandigarh 160 014
India
Sushil Kumar Tomar
Department of Mathematics
Panjab University
Chandigarh 160 014
India