International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 1, Pages 71-76

Effect of gravity on visco-elastic surface waves in solids involving time rate of strain and stress of higher order

Tapan Kumar Das,1 P. R. Sengupta,1 and Lokenath Debnath2

1Department of Mathematics, University of Kalyani, West Bengal, Kalyani, India
2Department of Mathematics, University of Central Florida, Orlando 23816, Florida, USA

Received 23 February 1992; Revised 1 March 1993

Copyright © 1995 Tapan Kumar Das 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.


A study is made of the surface waves in a higher order visco-elastic solid involving time rate of change of strain and stress under the influence of gravity. A fairly general equation for the wave velocity is derived. This equation is used to examine various kinds of surface waves including Rayleigh waves, Love waves and Stoneley waves. It is shown that the corresponding classical results follow from this analysis in the absence of gravity and viscosity.