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Memory response on thermal wave propagation emanating from a cavity in an unbounded elastic solid

机译:从无界弹性固体中的腔散射热波传播的记忆响应

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摘要

The present paper deals with the thermal memory response of wave propagation in an unbounded, homogeneous, isotropic elastic body, emanating from a spherical cavity. To analyze the memory response, the generalized heat conduction model with the fractional order as well as memory-dependent-derivatives (MDDs) concepts are considered. The solution space is obtained in Laplace transform domain by using the eigenfunction expansion method to the vector-matrix form of the corresponding governing equations. Finally, a comparison study is furnished for thermal displacement, stresses, and temperature changes in the space-time domain and is presented graphically.
机译:本文涉及来自球形腔的无限,均匀,各向同性弹性体中波传播的热敏记忆响应。为了分析存储器响应,考虑具有分数顺序的广义热传导模型以及存储器依赖性衍生物(MDDS)概念。在Laplace变换域中通过使用特征函数扩展方法在相应的控制方程的载体矩阵形式中获得溶液空间。最后,为空间域的热位移,应力和温度变化提供比较研究,并以图形方式呈现。

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