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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：可变性质和非识别效应的广义热弹性问题动态响应的研究

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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：为了探讨在微跑型中非识别效应的广义热弹性问题的动态响应，在广义热弹性中建模并研究了经受移动热源的有限长度热弹性棒。杆在两端固定，其材料特性是温度依赖性的。首先给出相应的控制方程，然后减少到一维，具有依赖于温度的特性，假定为参考温度的功能。随后，通过拉普拉斯变换及其数值反转，将标准化之后的等式与初始条件和边界条件一起解决。在图形上获得和示出了非潜能温度，位移和应力的分布。在计算时，热源的速度，温度依赖性性质和非识别参数的效果在显着的变量分布上进行了详细检查和讨论。结果表明，热源和可变性质的速度显着影响所考虑的变量的变化，而非本地参数几乎影响非潜能温度的变化，略微影响非潜能的峰值的变化和显着影响。影响非纬度应力的峰值的变化。

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