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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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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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 |
id | doaj-art-5a87cbca2a824936a7316f3ee1944af5 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
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 |