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Two-dimensional electromagneto-thermoelastic coupled problem under fractional order theory of thermoelasticity

机译:热弹性分数阶理论下的二维电磁热弹性耦合问题

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摘要

The dynamic response of a two-dimensional generalized thermal shock problem is investigated in the context of the fractional order theory of thermoelasticity proposed by Sherief et al. To demonstrate the solution process, a thermoelastic half-space subjected to a thermal shock on its bounding surface is considered in detail. The governing equations for the problem are formulated and then solved by normal mode analysis. The distributions of the considered nondimensional temperature, displacement, and stress are obtained and illustrated graphically. The effect of fractional order parameter on the variations of the considered variables is investigated, and the results show that the fractional order parameter has significant influence on the variations of the considered variables.
机译:在Sherief等人提出的热弹性分数阶理论的背景下,研究了二维广义热冲击问题的动力响应。为了演示求解过程,详细考虑了在其边界表面受到热冲击的热弹性半空间。制定了该问题的控制方程,然后通过正态分析进行求解。获得并以图形方式显示了所考虑的无量纲温度,位移和应力的分布。研究了分数阶参数对所考虑变量变化的影响,结果表明分数阶参数对所考虑变量的变化具有显着影响。

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