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ORIGINAL PAPER
Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-Spaces
1
Department of Mathematics and Computer Science, Mizoram University, Aizawl - 796 004, Mizoram, India
2
Department of Mathematics, Pachhunga University College, Aizawl - 796 001, Mizoram, India
Online publication date: 2018-08-20
Publication date: 2018-08-01
International Journal of Applied Mechanics and Engineering 2018;23(3):727-750
KEYWORDS
qSV and qP-wavesreflection and transmission coefficientsmonoclinic mediumcorrugated interfacephase velocity
ABSTRACT
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.
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