Thermoelastic interaction in functionally graded thick hollow cylinder with temperature-dependent properties
Thermoelastic interaction in functionally graded thick hollow cylinder with temperature-dependent properties
复制标题
具有温度相关特性的功能梯度厚空心圆柱体的热弹性相互作用
DOI：
10.1080/01495739.2017.1422823
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发表时间：
2018-02
影响因子：
2.8
通讯作者：
Jianzhong Zhou
中科院分区：
文献类型：
--
作者：
Yingze Wang;Dong Liu;Qian Wang;Jianzhong Zhou
摘要 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梯度厚空心圆柱体中的轴对称热弹性相互作用。基于具有一个弛豫时间的广义热弹性理论（L-S 理论），提出了具有空间梯度且与温度相关的可变材料属性的控制方程。使用拉普拉斯变换技术来导出通解，其中将圆柱体分为薄圆柱体并且假设每个薄圆柱体的材料属性恒定。然后通过时域中的一些近似对拉普拉斯逆变换进行解析，得到内部边界突然升温而外表面保持恒温问题的短时解。利用这些渐近解，研究了热波和热弹性波的传播，显示了每个波的传播对弛豫时间、体积分数参数和温度的依赖性。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可变材料特性随空间位置和温度对热弹性行为的影响。
ABSTRACT 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.
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影响因子：
3.6
作者：
S. Vel;R. Batra
通讯作者：
S. Vel;R. Batra
DOI：
10.1016/0022-5096(96)00041-5
发表时间：
1996-08-01
影响因子：
5.3
作者：
Jin, ZH;Batra, RC
通讯作者：
Batra, RC
DOI：
10.1016/0045-7825(93)90088-f
发表时间：
1993-11
影响因子：
7.2
作者：
K. Tanaka;Y. Tanaka;H. Watanabe;V. F. Poterasu;Y. Sugano
通讯作者：
K. Tanaka;Y. Tanaka;H. Watanabe;V. F. Poterasu;Y. Sugano
DOI：
10.1016/0022-5096(67)90024-5
发表时间：
1967-01-01
影响因子：
5.3
作者：
LORD, HW;SHULMAN, Y
通讯作者：
SHULMAN, Y
影响因子：
2
作者：
GREEN, AE;NAGHDI, PM
通讯作者：
NAGHDI, PM