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首页> 外文期刊>Journal of thermal stresses >Investigation on the dynamic responses of a generalized thermoelastic problem with variable properties and nonlocal effect
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Investigation on the dynamic responses of a generalized thermoelastic problem with variable properties and nonlocal effect

机译：具有可变特性和非局部效应的广义热弹性问题的动力响应研究

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摘要

To explore the dynamic responses of generalized thermoelastic problems with nonlocal effect in microtemporal scale, a finite length thermoelastic rod subjected to a moving heat source is modeled and investigated in generalized thermoelasticity. The rod is fixed at both ends and its material properties are temperature-dependent. The corresponding governing equations are first given and then reduced into one-dimensional ones with temperature-dependent properties assumed to be functions of reference temperature. Subsequently, the equations after normalization are solved together with the initial conditions and the boundary conditions by means of Laplace transform and its numerical inversion. The distributions of the nondimensional temperature, displacement, and stress are obtained and illustrated graphically. In calculation, the effects of the velocity of the heat source, the temperature-dependent properties and the nonlocal parameter on the distributions of the considered variables are emphatically examined and discussed in detail. The results show that the velocity of the heat source and the variable properties markedly influence the variations of the considered variables, while the nonlocal parameter barely influences the variations of the nondimensional temperature, slightly influences the variations of the peak value of the nondimensional displacement and significantly influences the variations of the peak value of the nondimensional stress.
机译：为了在微观时间尺度上探索具有非局部效应的广义热弹性问题的动力响应，对有限长度的热弹性杆在运动的热源作用下进行了建模并研究了广义热弹性。杆的两端都固定，其材料特性取决于温度。首先给出相应的控制方程，然后将其简化为一维方程，其中与温度有关的特性被假定为参考温度的函数。随后，通过拉普拉斯变换及其数值反演将归一化后的方程与初始条件和边界条件一起求解。获得了无量纲温度，位移和应力的分布，并以图形方式进行了说明。在计算中，着重研究并详细讨论了热源速度，温度相关特性和非局部参数对所考虑变量分布的影响。结果表明，热源的速度和变量性质显着影响所考虑变量的变化，而非局部参数几乎不影响无量纲温度的变化，对无量纲位移峰值的变化影响很小，并且显着影响无量纲应力峰值的变化。

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