International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 363-372
doi:10.1155/S0161171290000540
On Lamb's plane problem in micropolar viscoelastic half-space with stretch
Rajneesh Kumar1
, M.L. Gogna2
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
Abstract
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.