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首页> 外文期刊>Journal of thermal stresses >Thermoelastic interaction in functionally graded thick hollow cylinder with temperature-dependent properties
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Thermoelastic interaction in functionally graded thick hollow cylinder with temperature-dependent properties

机译：具有温度相关特性的功能梯度厚空心圆柱体中的热弹性相互作用

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摘要

The prediction of thermoelastic behavior induced by transient thermal shock is important to evaluate the durability of functionally graded materials. The purpose of this article is to study the axisymmetric thermoelastic interaction in a functionally graded thick hollow cylinder by an asymptotic approach. The governing equations with variable material properties, which are spatially graded and temperature dependent, are proposed based on the generalized theory of thermoelasticity with one relaxation time (L-S theory). The Laplace transform technique is used to derive the general solutions with the cylinder divided into thin cylinders and material properties assumed constant in each thin cylinder. The inverse Laplace transform is then conducted analytically by some approximations in the time domain, and the short-time solution of the problem with its interior boundary subjected to a sudden temperature rise and the outer surface maintained at constant temperature are obtained. Utilizing these asymptotic solutions, the propagation of thermal and thermoelastic waves are studied, which display dependence of each wave's propagation upon the relaxation time, volume fraction parameter and temperature. The distributions of the radial displacement, temperature and stresses are also plotted and discussed. These results reveal effects of these variable material properties with spatial position and temperature on thermoelastic behavior.
机译：由瞬态热冲击引起的热弹性行为的预测对于评估功能梯度材料的耐久性很重要。本文的目的是通过渐近方法研究功能渐变厚空心圆柱体中的轴对称热弹性相互作用。基于具有一个松弛时间的广义热弹性理论（L-S理论），提出了具有可变材料特性的控制方程，这些控制方程在空间上是渐变的并且与温度有关。拉普拉斯变换技术用于推导将圆柱体划分为细圆柱体并假设每个细圆柱体中的材料特性均恒定的常规解。然后，通过时域中的一些近似分析对拉普拉斯逆变换进行分析，并获得问题的短时解决方案，其内部边界承受突然的温度升高，并且外表面保持恒温。利用这些渐近解，研究了热波和热弹性波的传播，这些波显示出每个波的传播取决于弛豫时间，体积分数参数和温度。还绘制并讨论了径向位移，温度和应力的分布。这些结果揭示了这些具有空间位置和温度的可变材料特性对热弹性行为的影响。

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