International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 24, Pages 3883-3894
doi:10.1155/IJMMS.2005.3883
Rayleigh waves in a viscoelastic half-space under initial
hydrostatic stress in presence of the temperature field
Department of Mathematics, Jamshedpur Co-operative College, Jamshedpur Ranchi University, Jharkhand 831001, India
Received 1 February 2005; Revised 28 October 2005
Copyright © 2005 Sushil Kumar Addy and Nil Ratan Chakraborty. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.