Propagation of Elastic Waves in Prestressed Media

3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slo...

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Main Authors: Inder Singh, Dinesh Kumar Madan, Manish Gupta
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2010/817680
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author Inder Singh
Dinesh Kumar Madan
Manish Gupta
author_facet Inder Singh
Dinesh Kumar Madan
Manish Gupta
author_sort Inder Singh
collection DOAJ
description 3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numerically and represented graphically.
format Article
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institution Kabale University
issn 1110-757X
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language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-5a87cbca2a824936a7316f3ee1944af52025-02-03T01:13:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422010-01-01201010.1155/2010/817680817680Propagation of Elastic Waves in Prestressed MediaInder Singh0Dinesh Kumar Madan1Manish Gupta2Department of Mathematics, J. V. M. G. R. R. (P.G) College, Charkhi Dadri, Haryana 127306, IndiaDepartment of Mathematics, The Technological Institute of Textile and Sciences, Bhiwani 127021, IndiaDepartment of Electronic & Instumentation, The Technological Institute of Textile and Sciences, Bhiwani 127021, India3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numerically and represented graphically.http://dx.doi.org/10.1155/2010/817680
spellingShingle Inder Singh
Dinesh Kumar Madan
Manish Gupta
Propagation of Elastic Waves in Prestressed Media
Journal of Applied Mathematics
title Propagation of Elastic Waves in Prestressed Media
title_full Propagation of Elastic Waves in Prestressed Media
title_fullStr Propagation of Elastic Waves in Prestressed Media
title_full_unstemmed Propagation of Elastic Waves in Prestressed Media
title_short Propagation of Elastic Waves in Prestressed Media
title_sort propagation of elastic waves in prestressed media
url http://dx.doi.org/10.1155/2010/817680
work_keys_str_mv AT indersingh propagationofelasticwavesinprestressedmedia
AT dineshkumarmadan propagationofelasticwavesinprestressedmedia
AT manishgupta propagationofelasticwavesinprestressedmedia