非局部应力理论导致的空隙下弹性-热扩散相互作用

A. Sur
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引用次数: 0

摘要

目前的研究针对热弹性多孔半空间的新型广义弹性-热扩散模型,该模型结合了 Eringen 提出的非局部应力理论。采用摩尔-吉布森-汤普森(MGT)热弹性理论对问题进行建模,该理论定义为滑动区间上共同导数的积分形式,即众所周知的记忆依赖导数。介质的边界平面受到随时间变化的热冲击和化学冲击,而体积分数场没有变化。采用拉普拉斯变换和傅立叶变换技术来表示变换域中的解析解。采用基于傅里叶级数展开的合适数值方案,在真实时空域中找到了温度、应力、化学势、质量浓度和体积分数场等物理场的分布。根据对计算结果和相应图形的讨论,分析了不同参数的突出作用,如非局域性效应、空隙效应和热扩散效应。此外,还报告了非线性核函数与线性形式相比的优越性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Elasto‐thermodiffusive interaction under void due to nonlocal stress theory
The current investigation address a novel generalized elasto‐thermodiffusion model for a thermoelastic porous half‐space incorporating the nonlocal stress theory proposed by Eringen. Modeling of the problem is performed by adopting Moore‐Gibson‐Thompson (MGT) thermoelasticity theory defined in an integral form of a common derivative on a slipping interval, well known as the memory‐dependent derivative. The bounding plane of the medium is subjected to time‐dependent thermal and chemical shocks and there is no change in the volume fraction field. Laplace transform and the Fourier transform techniques have been adopted to represent the analytical solutions in the transformed domain. The distributions of the physical fields such as the temperature, stress, chemical potential, mass concentration and the volume fraction field were found in the real space‐time domain adopting suitable numerical scheme based on the Fourier series expansion. According to the discussion of the computational results and the respective graphical representations, the prominent role of different parameters such as the effect of nonlocality, effect of void and thermodiffusion is analyzed. Moreover, the superiority of a nonlinear kernel function compared to a linear form is also reported.
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