Abstract
A model of the equations of generalized magneto-thermoelasticity for perfectly conducting isotropic media is given. The formulation is applied to the generalized thermoelasticity theories: Green-Naghdi of type II and type III as well as to the dynamic coupled theory. The state space approach is adopted for the solution of one-dimensional problems in the absence of heat sources with time-dependent heating on the boundary. The Laplace-transform technique is used. Numerical results are given and illustrated graphically employing numerical method for the inversion of the Laplace transforms. Comparisons are made with the results predicted by the three theories.