State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source |
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Authors: | , H.M.YOUSSEF |
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Affiliation: | Department of Mathematical, Faculty of Education,Alexandria University,Alexandria 21527, Egypt |
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Abstract: | In this work, a model of two-temperature generalized thermoelasticity without energy dissipation for an elastic half-space with constant elastic parameters is constructed. The Laplace transform and state-space techniques are used to obtain the general solution for any set of boundary conditions. The general solutions are applied to a specific problem of a half-space subjected to a moving heat source with a constant velocity. The inverse Laplace transforms are computed numerically, and the comparisons are shown in figures to estimate the effects of the heat source velocity and the two-temperature parameter. |
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Keywords: | generalized thermoelasticity energy dissipation two-temperature heat source |
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