International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 553-560
doi:10.1155/S0161171291000753

Thermo-viscoelastic Rayleigh waves under the influence of couple-stress and gravity

Tapan Kumar Das1 , P.R. Sengupta1 and Lokenath Debnath3

1Indian Institute of Mechanics of Continua, 201, Manicktala Main Road, Suite No. 42, Calcutta 700054, West Bengal, India
3Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA

Abstract

This paper is concerned with thermo-visco-elastic Rayleigh waves under the influence of couple-stresses and gravity. A more general phase velocity equation for these waves is derived. It is shown that the phase velocity equation reduces to that of the classical elastic Rayleigh waves in the absence of the couple-stress parameter, viscosity and gravity.