Abstract

In order to capture the memory-dependent effect and size-dependent effect, present work aims to develop a novel thermo-viscoelastic nonlocal model in micro-scale for the first time to include the simultaneous effects of the fractional order parameter, the viscous damping coefficient, the time-delay factor and the kernel function. Then, the theory is applied to studying the dynamic response of a polymer microbeam heated by a ramp-type heating. In calculation, the influences of the fractional order parameter, the viscous damping coefficient, the time-delay factor and the kernel function on the variations of the considered variables are presented and discussed in detail.

中文翻译：

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记忆相关的热粘弹性模型及其在聚合物微梁热致非局部响应分析中的应用

摘要

为了捕捉记忆相关效应和尺寸相关效应，目前的工作旨在首次开发一种新的微尺度热粘弹性非局部模型，以包括分数阶参数、粘性阻尼系数的同时影响，时间延迟因子和核函数。然后，将该理论应用于研究通过斜坡式加热加热的聚合物微梁的动态响应。在计算中，给出并详细讨论了分数阶参数、粘性阻尼系数、时滞因子和核函数对所考虑变量变化的影响。