The general problem of the one-dimensional linearized simultaneous equations of magnetothermoelasticity has been solved in the Laplace transform domain by following the state space approach of modern control theory. The results obtained can be used to generate solutions in the Laplace transform domain to a broad class of problems in magnetothermoelasticity. Application to a problem pertaining to a conducting half-space is presented, and the result is in complete agreement with the existing literature of magnetothermoelasticity.
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Das et al. (1981) studied this question.
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