State space approach to generalized magneto-thermoelasticity with two relaxation times in a medium of perfect conductivity

摘要

In this work the state space formulation for one-dimensional problems of generalized magneto-thermoelasticity with two relaxation times in a perfectly conducting medium is introduced. The Laplace transform technique is used. The resulting formulation is applied to a thermal shock problem, a problem of a layer medium and a problem for the infinite space in the presence of heat sources. A numerical method is employed for the inversion of the Laplace transforms. Numerical results are given and illustrated graphically for the problem considered.