International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 363-372

On Lamb's plane problem in micropolar viscoelastic half-space with stretch

Rajneesh Kumar,1 M. L. Gogna,2 and Lokenath Debnath3

1Department of Mathematics, Doaba College, Jalandhar, India
2Department of Mathematics, Kurukshetra University, Kurukshetra, India
3Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA

Received 1 November 1988; Revised 30 December 1988

Copyright © 1990 Rajneesh Kumar 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 Lamb's plane problem in micropolar viscoelastic half-space with stretch. The viscoelasticity is characterized by the rate-dependent theories of micro-viscoelasticity generalizing the classical Kelvin-Voigt theory. The displacement components, force stress, couple stress and vector first moment are obtained for a half-space subjected to an arbitrary normal load. Two particular cases of a horizontal force and a torque which are time harmonic have been considered. Several limiting cases are obtained as special cases of the present analysis.