与温度相关的非均质圆筒的非线性耦合广义热弹性分析  

AN ANALYSIS ON TEMPERATURE-DEPENDENT INHOMOGENEOUS CYLINDERS USING NONLINEAR COUPLED GENERALIZED THERMOELASTICITY

作　　者：韦杰 吴枝根[1] 鲁文 WEI Jie;WU Zhigen;LU Wen(College of Civil Engineering,Hefei University of Technology,Hefei 230009,China)

机构地区：[1]合肥工业大学土木与水利工程学院,合肥230009

出　　处：《力学与实践》2023年第4期818-826,共9页Mechanics in Engineering

基　　金：国家自然科学基金项目(11572108)资助。

摘　　要：基于能量守恒方程和L-S广义热弹性理论,借助状态空间技术和Newmark法求解了材料性质沿径向任意梯度分布同时又与温度相关的非均质圆筒非线性耦合广义热弹性问题。通过对材料性质与温度无关和相关功能梯度圆筒的算例分析,给出了在线性和非线性耦合下圆筒内温度和应力沿径向和随时间的变化关系,验证了本文解的正确性和有效性。数值结果表明,考虑材料性质是否与温度相关,能量守恒方程中耦合项是线性还是非线性,得到的温度与应力均存在不同程度的差异。本文解可方便地应用于不同边界条件和初始条件下圆筒的广义热弹性分析。Based on the energy conservation equation and L–S generalized thermoelasticity,the nonlinear coupled generalized thermoelasticity problem of inhomogeneous cylinders with material properties varying arbitrarily in the radial direction and depending on temperature is solved by using the state space technology and Newmark method.Through the numerical example analyses of functionally graded cylinders with temperature-independent(TID)and temperature-dependent(TD)materials,the temperature and the stress of cylinders varying in the radial direction and with time under the linear or nonlinear couplings are presented,and the correctness and validity of the solution in this paper are verified.The numerical results show that,considering the material properties depending on or independent of temperature and the coupling term in the energy conservation equation being linear or nonlinear,the temperature and the stress obtained are different in various degrees.The present solution can be readily applied to the generalized thermoelastic analysis of cylinders under different boundary conditions and initial conditions.

关 键 词：温度相关材料 功能梯度圆筒 L-S广义热弹性理论 非线性耦合 

分 类 号：O343.6[理学—固体力学]