Vol. 2, No. 1, 2007

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PACAM XI
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Sanasam Sarat Singh & Sushil Kumar Tomar

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 coeficients. We find that (i) these coeficients are functions of the angle of incidence and the elastic parameters of the media, (ii) the coeficients corresponding to irregularly reflected and transmitted waves are proportional to the amplitude of the corrugated interface, and (iii) reflection and transmission coeficients 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

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