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State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source

State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source
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摘要 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. 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.
作者 H.M.YOUSSEF
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第1期63-74,共12页 应用数学和力学(英文版)
关键词 generalized thermoelasticity energy dissipation two-temperature heat source generalized thermoelasticity, energy dissipation, two-temperature, heat source
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参考文献14

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