考虑尺度效应及记忆依赖效应半无限大薄板的热及化学冲击动态响应
Thermal and Chemical Shock Dynamic Response of a Semiinfinite Thin Plate Considering Scale Effect and Memory Dependent Effect
摘要: 基于记忆依赖微分理论，研究了半无限大薄板在热及化学冲击作用下的动态响应。文中给出考虑尺度效应及记忆依赖效应的半无限大薄板广义热弹性控制方程，通过拉普拉斯积分变换及其数值反变换对控制方程进行了求解，得到了热及化学冲击作用下的半无限大薄板中，非局部参数、热传导时间迟滞因子和扩散时间迟滞因子对温度、应力、位移、浓度和化学势的影响。结果表明：非局部参数对温度、浓度和化学势几乎没有影响；体现记忆效应的核函数选取对各个物理量都有不同程度的影响。
Abstract: Based on memory-dependent differential theory, the dynamic response of semi-infinite thin plates subjected to thermal and chemical shocks is studied. In this paper, the generalized thermoelastic governing equation of semi-infinite thin plate considering the scale effect and memory dependent effect is given. The governing equation is solved by the Laplace integral transform and its numerical inverse transform. The equations of semi-infinite thin plate under thermal and chemical shock are obtained. Influence of non-local parameters, heat conduction time hysteresis factor and diffusion time hysteresis factor on temperature, stress, displacement, concentration and chemical potential. The results show that the non-local parameters have little effect on temperature, concentration and chemical potential. Kernel function selection which embodies memory effect has different influences on each physical quantity.
文章引用：张振军. 考虑尺度效应及记忆依赖效应半无限大薄板的热及化学冲击动态响应[J]. 力学研究, 2021, 10(4): 237-251. https://doi.org/10.12677/IJM.2021.104024

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