Coupled thermoelasticity and second sound in finite length functionally graded thick hollow cylinders (without energy dissipation)
Coupled thermoelasticity and second sound in finite length functionally graded thick hollow cylinders (without energy dissipation)
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DOI：
10.1016/j.matdes.2008.08.048
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发表时间：
2009-06
影响因子：
8.4
通讯作者：
S. Hosseini
中科院分区：
文献类型：
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作者：
S. Hosseini
本文研究了功能梯度厚空心圆柱的耦合热弹性行为。求解了受热冲击载荷作用的有限长度功能梯度圆柱体的热弹性和能量耦合控制方程。基于Green-Naghdi理论考虑了耦合热弹性方程。圆柱体的力学性能在厚度上呈半径的幂律函数。圆柱体假定是由横跨厚度的许多各向同性子圆柱体（层）组成的。通过适当的层序排列，建立了功能梯度性质，并通过三角函数展开，在纵向上展开了控制方程。采用Galerkin有限元法和Newmark法对圆柱进行了分析。得到并讨论了温度分布、机械位移和热应力的动态特性。在各种力学性能变化的情况下，确定了二次声和弹性波的传播。将本研究结果与已发表的数据进行比较，结果非常吻合。
In this article, the coupled thermoelasticity behavior of functionally graded thick hollow cylinders is studied. The governing coupled thermoelasticity and the energy equations are solved for a finite length functionally graded cylinder subjected to thermal shock load. The coupled thermoelastic equations are considered based on Green–Naghdi theory. The mechanical properties of cylinder are graded across the thickness as a power law function of radius. The cylinder is assumed to be made of many isotropic sub-cylinders (layers) across the thickness. Functionally graded properties are created by suitable arrangement of layers and governing equations are expanded in longitudinal direction by means of trigonometric function expansion. The Galerkin Finite Element and Newmark Methods are used to analyze the cylinder. The dynamic behavior of temperature distribution, mechanical displacement and thermal stresses is obtained and discussed. The second sound and elastic wave propagation are determined for various kinds of variation in the mechanical properties. The comparison of present results with published data shows the excellent agreement.