In this paper, the generalized thermoelasticity problem for an infinite
fiber-reinforced transversely-isotropic thick plate subjected to initial
stress is solved. The lower surface of the plate rests on a rigid foundation
and temperature while the upper surface is thermally insulated with prescribed
surface loading. The normal mode analysis is used to obtain the analytical
expressions for the displacements, stresses and temperature distributions.
The problem has been solved analytically using the generalized thermoelasticity
theory of dual-phase-lags. Effect of phase-lags, reinforcement and initial stress
on the field quantities is shown graphically. The results due to the coupled
thermoelasticity theory, Lord and Shulman's theory, and Green and Naghdi's theory
have been derived as limiting cases. The graphs illustrated that the initial stress,
the reinforcement and phase-lags have great effects on the distributions of the field quantities.