Journal of Applied Mathematics and Stochastic Analysis
Volume 4 (1991), Issue 1, Pages 71-82
doi:10.1155/S1048953391000047
Surface waves in higher order visco-elastic media under the
influence of gravity
1Indian Institute of Mechanics of Continua, 201, Maniktala Main Road, Suite No. 42, Calcutta 700054, West Bengal, India
2Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India
3Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA
Received 1 December 1989; Revised 1 April 1990
Copyright © 1991 Animesh Mukherjee et al. 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
Based upon Biot's [1965] theory of initial stresses of hydrostatic nature produced by
the effect of gravity, a study is made of surface waves in higher order visco-elastic
media under the influence of gravity. The equation for the wave velocity of Stonely
waves in the presence of viscous and gravitational effects is obtained. This is followed
by particular cases of surface waves including Rayleigh waves and Love waves in the
presence of viscous and gravity effects. In all cases the wave-velocity equations are
found to be in perfect agreement with the corresponding classical results when the
effects of gravity and viscosity are neglected.