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 thermoelastic micropolar medium with stretch
T.K. Chadha1
, Rajneesh Kumar1
and Lokenath Debnath3
1Department of Mathematics, Guru Nanak Dev University, Amritsar, India
3Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA
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.