International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 1, Pages 187-198
doi:10.1155/S0161171287000231

Lamb's plane problem in a thermo-elastic micropolar medium with stretch

T. K. Chadha,1 Rajneesh Kumar,1 and Lokenath Bebnath2

1Department of Mathematics, Guru Nanak Dev University, Amritsar, India
2Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA

Received 23 May 1984; Revised 8 January 1985

Copyright © 1987 T. K. Chadha 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.

Abstract

A study is made of the Lamb plane problem in a thermo-elastic micropolar medium with the effect of stretch. The problem is solved for an arbitrary, normal load distribution by using the double Fourier transform. The displacement components, force stress, couple stress, vector first moment and the temperature field are determined for a half space subjected to an arbitrary normal load. Two special cases of a horizontal force and a torque which are oscillating with a frequency ω have been investigated. It is shown that results of this analysis reduce to those without stretch.