Abstract
In this work, a mathematical model of two-temperature generalized thermoelasticity with two relaxation times for an infinite fiber-reinforced anisotropic plate containing a circular cavity will be constructed in the context of Youssef model (2006). As an application of the problem, a particular type of thermal source is considered and the problem is solved numerically by using a finite element method. The effects of relaxation times and the presence and absence reinforcement on the conductive temperature, the dynamical temperature, the stresses and the displacement distributions are studied.