Abstract
This article presents a two-dimensional problem of generalized thermoelasticity for a fiber-reinforcement anisotropic half-space under a thermal shock at its upper surface. The effects of initial stress and rotation are both studied. Green and Naghdi's theory of thermoelasticity is employed to study the present problem. The inclusion of reinforcement anisotropic elastic parameter is made and two additional terms are added to the displacement equation. The problem is solved numerically by using the finite element method. Numerical results for displacements, stresses and temperature are given and presented graphically in different positions. Comparisons are made for different values of the magnetic field. The inclusion of the reinforcement parameters is also investigated.