Fundamental solution in generalized magneto-thermoelasticity with two relaxation times for perfect conductor cylindrical region

The model of the equations of generalized magneto-thermoelasticity with two relaxation times for a perfect conducting isotropic media is considered. The formulation is applied to solve the problem of determining stress and temperature distributions with continuous line source of heat in an infinite elastic body, permeated by an axial uniform magnetic field. The solution is obtained using the method of potentials. Laplace and Hankel transforms techniques are used to derive the solution in the Laplace transform domain. The inversion process is carried out using asymptotic expansions valid for small values of time. Numerical results for the temperature and stress distributions are given and illustrated graphically. A comparison is made with the results obtained in the absence of a magnetic field. (C) 2004 Elsevier Ltd. All rights reserved.