Abstract
The model of the two-dimensional equations of generalized magneto-thermoelasticity with two relaxation times in a perfectly conducting medium is established. The normal mode analysis is used to obtain the exact expressions for the temperature distribution, thermal stresses and the displacement components. The resulting formulation is applied to two different concrete problems. The first deals with a thick plate of perfect conductivity subjected to time-dependent heat source on each face, while the second concerns the case of a heated punch moving across the surface of a semi-infinite thermoelastic half-space of perfect conductivity subject to appropriate boundary conditions. Numerical computations for the horizontal component of the displacement are carried out and represented graphically for each problem. A comparison was made with the results obtained in the absence of a magnetic field.