Asymptotic approach to transient thermal shock problem with variable material properties
Asymptotic approach to transient thermal shock problem with variable material properties
复制标题
具有可变材料特性的瞬态热冲击问题的渐近方法
DOI：
10.1080/15376494.2017.1341577
复制
发表时间：
2019-02
影响因子：
2.8
通讯作者：
Wang Y Z
中科院分区：
文献类型：
--
作者：
Liang W;Huang S;Tan W S;Wang Y Z
本文提出了一种求解变材料特性瞬态热冲击问题的渐近方法。在Lord-Shulman广义热弹性理论的基础上，利用Helmholtz自由能关于温度增量的高阶展开来描述各材料参数与真实的温度的关系，导出了具有温度相关性质的各向同性弹性介质的控制方程.然后用分层法处理材料性质随真实的温度的变化，忽略一些高阶量，得到一个离散线性方程组的系统。然后用积分变换法对该方程组进行解析求解，其中利用了拉普拉斯变换技术及其极限定理来处理这些线性偏微分方程。这种渐近方法被应用于求解具有可变材料性质的薄板的热弹性响应。得到了薄板边界温度突然升高引起的位移、温度和应力的渐近解。讨论了每个物理场的相应结果，并与常数性质情况下的结果进行了比较，以评估材料性质的温度依赖性的影响。
ABSTRACT In this paper, an asymptotic approach is proposed to solve the transient thermal shock problem with variable material properties. The governing equations of isotropic elastic medium with temperature-dependent properties are derived in the context of the Lord–Shulman generalized theory of thermoelasticity, where the higher-order expansion with respected to increment temperature of the Helmholtz free energy is used to describe the relation of each material parameter with real temperature. Then, the layer method is used to deal with the variation of material properties with real temperature, and a system with discrete linear equations is obtained by ignoring some higher-order quantities. This system is then solved analytically by the integral transform method, where the Laplace transform technique and its limit theorem is employed to deal with these linear partial differential equations. This asymptotic approach is applied to solve the thermoelastic response of a thin plate with variable material properties. The asymptotic solutions of the displacement, temperature and stresses, induced by a sudden temperature rise at the boundary of thin plate, are obtained. The corresponding results for each physical field are discussed, as well as the comparison with the results obtained from the case with constant properties is also conducted to evaluate the effect of temperature dependency of material properties.
登录
查看更多内容
影响因子：
3.5
作者：
Q. Xiong;X. Tian
通讯作者：
Q. Xiong;X. Tian
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
影响因子：
2.8
作者：
R. Hetnarski;J. Ignaczak
通讯作者：
R. Hetnarski;J. Ignaczak
DOI：
10.1016/s0096-3003(02)00660-4
发表时间：
2004
期刊：
Appl. Math. Comput.
影响因子：
--
作者：
M. Ezzat;A. El-Karamany;A. A. Samaan-A.
通讯作者：
M. Ezzat;A. El-Karamany;A. A. Samaan-A.