Abstract
The model of one-dimensional equations of the two-temperature generalized magneto-viscoelasticity theory with one relaxation time in a perfect conducting medium is established. The state space approach developed in [Bahar and Hetnarski, J. Thermal Stresses, vol. 1, pp. 135-145, 1978; M. Ezzat, Int. J. Engng. Sci., vol. 35, pp. 741-752, 1997] is adopted for the solution of one-dimensional problems for any set of boundary conditions. The resulting formulation together with the Laplace transform techniques are applied to a specific problem of a half-space subjected to thermal shock and traction-free surface. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results are given and illustrated graphically for the problem. Some comparisons have been shown in figures to estimate the effects of the temperature discrepancy and the applied magnetic field.