Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field
Author(s) -
Sushil Kumar Addy,
Nil Ratan Chakraborty
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.3883
Subject(s) - viscoelasticity , hydrostatic equilibrium , rayleigh wave , dimensionless quantity , mechanics , rayleigh scattering , hydrostatic stress , half space , stress (linguistics) , mathematics , stress field , classical mechanics , physics , mathematical analysis , wave propagation , thermodynamics , optics , finite element method , linguistics , philosophy , quantum mechanics
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 theviscoelastic 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 indimensionless 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
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