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

Animesh Mukherjee,1 P. R. Sengupta,2 and Lokenath Debnath3

 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

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.