International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 4, Pages 795-802

Lamb's plane problem in a thermo-visco-elastic micropolar medium with the effect of gravity

Pravangsu Sekhar Das,1 P. R. Sengupta,2 and Lokenath Debnath3

1KTPP Township, Midnapore 721171, India
2Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India
3Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA

Received 1 September 1990; Revised 15 May 1991

Copyright © 1992 Pravangsu Sekhar 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 Lamb plane problem in an infinite thermo-visco-elastic micropolar medium with the effect of gravity. The visco-elasticity is characterized by the rate dependent theory of micro-visco-elasticity generalizing the classical Kelvin-Voigt theory. The action of time harmonic loading is treated in detail. The solutions for the displacement fields, couple stresses and the temperature field are obtained in general and particular cases.