International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 1, Pages 71-76
doi:10.1155/S0161171295000093
Effect of gravity on visco-elastic surface waves in solids involving time rate of strain and stress of higher order
Tapan Kumar Das1
, P.R. Sengupta1
and Lokenath Debnath3
1Department of Mathematics, University of Kalyani, West Bengal, Kalyani, India
3Department of Mathematics, University of Central Florida, Orlando 23816, Florida, USA
Abstract
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.