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Plane SH‐waves at a corrugated interface between two dissimilar perfectly conducting self‐reinforced elastic half‐spaces
Author(s) -
Tomar S. K.,
Sarat Singh Sanasam
Publication year - 2006
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.485
Subject(s) - refraction , reflection (computer programming) , plane (geometry) , harmonic , rayleigh scattering , rayleigh wave , computation , incidence (geometry) , angle of incidence (optics) , mathematical analysis , interface (matter) , plane wave , mathematics , optics , geometry , physics , surface wave , mechanics , acoustics , computer science , bubble , algorithm , maximum bubble pressure method , programming language
In this paper, we have attempted a problem of reflection and refraction of plane harmonic SH‐wave at a corrugated interface between two different perfectly conducting self‐reinforced elastic half‐spaces. Rayleigh's method is employed to find out the expressions of reflection and refraction coefficients for first‐ and second‐order approximation of the corrugation. The expressions of these coefficients show that they depend on the properties of half‐spaces, angle of incidence, frequency of the incident wave and are strongly influenced by the corrugation of the interface. Numerical computations are performed for a particular model having special type of interface and the variation of these coefficients are depicted graphically against the angles of incidence, frequency parameter, corrugation parameter at different values of reinforcement parameters. Results of some earlier works are reduced as a particular case of this formulation. Copyright © 2005 John Wiley & Sons, Ltd.