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Propagation of SH-Waves Through Non Planer Interface between Visco-Elastic and Fibre-Reinforced Solid Half-Spaces

Published online by Cambridge University Press:  29 March 2017

B. Prasad ,
P. C. Pal  and
S. Kundu
B. Prasad*
Affiliation:
Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)Dhanbad, India
P. C. Pal
Affiliation:
Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)Dhanbad, India
S. Kundu
Affiliation:
Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)Dhanbad, India
*
*Corresponding author (bishwanathprasad92@gmail.com)
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Abstract

In the propagation of seismic waves through layered media, the boundaries play crucial role. The boundaries separating the different layers of the earth are irregular in nature and not perfectly plane. It is, therefore, necessary to take into account the corrugation of the boundaries while dealing with the problem of reflection and refraction of seismic waves. The present study explores the reflection and refraction phenomena of SH-waves at a corrugated interface between visco-elastic half-space and fibre-reinforced half-space. Method of approximation given by Rayleigh is adopted and the expressions for reflection and transmission coefficients are obtained in closed form for the first and second order approximation of the corrugation. The closed form formulae of these coefficients are presented for a corrugated interface of periodic shape (cosine law interface). It is found that these coefficients depend upon the amplitude of corrugation of the boundary, angle of incidence and frequency of the incident wave. Numerical computations for a particular type of corrugated interface are performed and a number of graphs are plotted. Some special cases are derived.

Keywords

SH-wavesVisco-elasticFibre-reinforcedCorrugated interface
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 4 , August 2017 , pp. 545 - 557
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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