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: Hindawi Limited 2010-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2010/817680
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spelling doaj-5a87cbca2a824936a7316f3ee1944af52020-11-24T20:59:14ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Inder Singh
Dinesh Kumar Madan
Manish Gupta
spellingShingle Inder Singh
Dinesh Kumar Madan
Manish Gupta
Propagation of Elastic Waves in Prestressed Media
Journal of Applied Mathematics
author_facet Inder Singh
Dinesh Kumar Madan
Manish Gupta
author_sort Inder Singh
title Propagation of Elastic Waves in Prestressed Media
title_short 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_sort propagation of elastic waves in prestressed media
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2010-01-01
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.
url http://dx.doi.org/10.1155/2010/817680
work_keys_str_mv AT indersingh propagationofelasticwavesinprestressedmedia
AT dineshkumarmadan propagationofelasticwavesinprestressedmedia
AT manishgupta propagationofelasticwavesinprestressedmedia
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