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State space approach to generalized magneto-thermoelasticity with two relaxation times in a medium of perfect conductivity. (English) Zbl 0902.73067

Summary: 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.

MSC:

74F15 Electromagnetic effects in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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