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Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer

机译：具有热电性质和分数导数热传递的磁热弹性

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摘要

In this work, a new model of the magneto-thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with fractional derivative. A one-dimensional application for a conducting half-space of thermoelectric elastic material, which is thermally shocked in the presence of a magnetic field, has been solved using Laplace transform and state-space techniques (Ezzat, 2008 [1]). According to the numerical results and its graphs, a conclusion about the new theory of magneto-thermoelasticity has been constructed. The theories of coupled magneto-thermoelasticity and of generalized magneto-thermoelasticity with one relaxation time follow as limited cases. The result provides a motivation to investigate conducting thermoelectric materials as a new class of applicable materials.
机译：在这项工作中，在考虑分数导数导热的新背景下，构造了磁热弹性理论的新模型。使用拉普拉斯变换和状态空间技术已经解决了热电弹性材料的传导半空间的一维应用问题，该半空间在存在磁场的情况下受到热冲击（Ezzat，2008 [1]）。根据数值结果及其图表，得出了关于磁热弹性新理论的结论。在有限的情况下，耦合磁热弹性和具有一个松弛时间的广义磁热弹性的理论是有限的。该结果提供了研究热电材料作为新型适用材料的动机。

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