Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-Spaces

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 a...

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Main Authors: S.S. Singh, J. Lalvohbika
Format: Article
Language:English
Published: University of Zielona Góra 2018-08-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Response-of-Corrugated-Interface-on-Incident-qSV-Wave-in-Monoclinic-Elastic-Half,166970,0,2.html
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author S.S. Singh
J. Lalvohbika
author_facet S.S. Singh
J. Lalvohbika
author_sort S.S. Singh
collection DOAJ
description 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 =d cos py . We have computed these coefficients for a particular model and discussed the effects of corrugation and frequency parameter.
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spelling doaj.art-58334dbcffa64059a4a221d323b143572023-08-08T14:58:42ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032018-08-0123372775010.2478/ijame-2018-0040166970Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-SpacesS.S. Singh0J. Lalvohbika1Department of Mathematics and Computer Science, Mizoram University, Aizawl - 796 004, Mizoram, IndiaDepartment of Mathematics, Pachhunga University College, Aizawl - 796 001, Mizoram, IndiaThis 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 =d cos py . We have computed these coefficients for a particular model and discussed the effects of corrugation and frequency parameter.https://www.ijame-poland.com/Response-of-Corrugated-Interface-on-Incident-qSV-Wave-in-Monoclinic-Elastic-Half,166970,0,2.htmlqsv and qp-wavesreflection and transmission coefficientsmonoclinic mediumcorrugated interfacephase velocity
spellingShingle S.S. Singh
J. Lalvohbika
Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-Spaces
International Journal of Applied Mechanics and Engineering
qsv and qp-waves
reflection and transmission coefficients
monoclinic medium
corrugated interface
phase velocity
title Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-Spaces
title_full Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-Spaces
title_fullStr Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-Spaces
title_full_unstemmed Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-Spaces
title_short Response of Corrugated Interface on Incident qSV-Wave in Monoclinic Elastic Half-Spaces
title_sort response of corrugated interface on incident qsv wave in monoclinic elastic half spaces
topic qsv and qp-waves
reflection and transmission coefficients
monoclinic medium
corrugated interface
phase velocity
url https://www.ijame-poland.com/Response-of-Corrugated-Interface-on-Incident-qSV-Wave-in-Monoclinic-Elastic-Half,166970,0,2.html
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