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首页> 外文期刊>Journal of thermal stresses >Transient response analysis of a spherical shell embedded in an infinite thermoelastic medium based on a memory-dependent generalized thermoelasticity
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Transient response analysis of a spherical shell embedded in an infinite thermoelastic medium based on a memory-dependent generalized thermoelasticity

机译：基于记忆依赖的广义热弹性，嵌入无限热弹性介质中的球壳瞬态响应分析

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摘要

In the context of a memory-dependent generalized thermoelasticity, the thermal-induced transient response in an infinite elastic body containing a spherical shell is investigated. A thermal shock is applied on the inner surface of the spherical shell. The infinite body and the spherical shell are assumed to be isotropic but two dissimilar materials. By using an analytical technique based on the Laplace transform along with its numerical inversion, the governing equations of the problem are solved and the non-dimensional physical quantities in the two materials, i.e., temperature, displacement and stress, are obtained and illustrated graphically respectively. In simulation, the accuracy of memory-dependent derivative (MDD) is verified by degrading the present model into L-S model to compare the results obtained from the cases with interfacial thermal resistance and without interfacial thermal resistance. In addition, the effects of the different kernel functions as well as the ratios of the two materials, including the ratios of the density, the thermal-conductivity and the time-delay, on the distributions of the considered variables are obtained and demonstrated graphically respectively.
机译：在依赖于记忆的广义热弹性的背景下，研究了在包含球形壳的无限弹性体中热诱导的瞬态响应。在球形壳体的内表面上施加热冲击。假定无穷大的物体和球壳是各向同性的，但是是两种不同的材料。通过使用基于Laplace变换及其数值反演的分析技术，求解了该问题的控制方程，并分别获得了两种材料中的无量纲物理量，即温度，位移和应力，并以图形方式进行了说明。 。在仿真中，通过将本模型降级为L-S模型以比较从具有界面热阻和没有界面热阻的情况下获得的结果，验证了记忆相关导数（MDD）的准确性。此外，获得了不同核函数以及两种材料的比率（包括密度，导热率和时间延迟的比率）对所考虑变量分布的影响，并分别以图形方式进行了演示。 。

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