Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field

The effect of the temperature and initial hydrostatic stress has been shown on the propagation of Rayleigh waves in a viscoelastic half-space. It has been explained how the velocity of Rayleigh waves depends not only on the parameters pertaining to the viscoelastic properties of the half-space, bu...

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Main Authors:	Sushil Kumar Addy, Nil Ratan Chakraborty
Format:	Article
Language:	English
Published:	Hindawi Limited 2005-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/IJMMS.2005.3883

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spelling	doaj-f1b7ec0e476f4ce8a2b3548774c8112c2020-11-24T22:28:08ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005243883389410.1155/IJMMS.2005.3883Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature fieldSushil Kumar Addy0Nil Ratan Chakraborty1Department of Mathematics, Jamshedpur Co-operative College, Jamshedpur Ranchi University, Jharkhand 831001, IndiaDepartment of Mathematics, Jamshedpur Co-operative College, Jamshedpur Ranchi University, Jharkhand 831001, IndiaThe effect of the temperature and initial hydrostatic stress has been shown on the propagation of Rayleigh waves in a viscoelastic half-space. It has been explained how the velocity of Rayleigh waves depends not only on the parameters pertaining to the viscoelastic properties of the half-space, but on the temperature and the initial hydrostatic stress of the half-space also. The variations of the phase velocity of Rayleigh waves in dimensionless form with respect to the magnitude of the initial hydrostatic stress under certain practical assumptions have been depicted in graphs after numerical computations. If the temperature and the initial hydrostatic stress of the half-space are neglected, the results obtained are in perfect agreement with the classical case as obtained by Caloi for the propagation of Rayleigh waves in a viscoelastic medium.http://dx.doi.org/10.1155/IJMMS.2005.3883
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sushil Kumar Addy Nil Ratan Chakraborty
spellingShingle	Sushil Kumar Addy Nil Ratan Chakraborty Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field International Journal of Mathematics and Mathematical Sciences
author_facet	Sushil Kumar Addy Nil Ratan Chakraborty
author_sort	Sushil Kumar Addy
title	Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field
title_short	Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field
title_full	Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field
title_fullStr	Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field
title_full_unstemmed	Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field
title_sort	rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2005-01-01
description	The effect of the temperature and initial hydrostatic stress has been shown on the propagation of Rayleigh waves in a viscoelastic half-space. It has been explained how the velocity of Rayleigh waves depends not only on the parameters pertaining to the viscoelastic properties of the half-space, but on the temperature and the initial hydrostatic stress of the half-space also. The variations of the phase velocity of Rayleigh waves in dimensionless form with respect to the magnitude of the initial hydrostatic stress under certain practical assumptions have been depicted in graphs after numerical computations. If the temperature and the initial hydrostatic stress of the half-space are neglected, the results obtained are in perfect agreement with the classical case as obtained by Caloi for the propagation of Rayleigh waves in a viscoelastic medium.
url	http://dx.doi.org/10.1155/IJMMS.2005.3883
work_keys_str_mv	AT sushilkumaraddy rayleighwavesinaviscoelastichalfspaceunderinitialhydrostaticstressinpresenceofthetemperaturefield AT nilratanchakraborty rayleighwavesinaviscoelastichalfspaceunderinitialhydrostaticstressinpresenceofthetemperaturefield
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Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field

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