功能梯度圆筒的热弹性分析  

Thermoelastic analysis of a functionally graded hollow cylinder

作　　者：徐伟 李昊[1] XU Wei;LI Hao(School of Civil and Hydraulic 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,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2018年第8期1070-1073,共4页Journal of Hefei University of Technology：Natural Science

基　　金：合肥工业大学博士学位专项基金资助项目(JZ2014HGBZ0024)

摘　　要：文章讨论了功能梯度圆筒受到轴对称温度荷载和机械荷载时的热弹性问题,其中假定功能梯度圆筒的材料属性(泊松比除外)沿径向呈有理分式函数分布。通过求解热传导方程和位移形式的Navier方程,得到了一维稳态条件下的径向位移和热应力的理论解,并与有限元解对比,验证了理论解的正确性。通过数值计算,得到了功能梯度圆筒热膨胀系数对径向位移和热应力影响的规律。The thermoelastic problem of a functionally graded hollow cylinder subjected to both axisymmetric mechanical and thermal loads is studied.The material properties,except Poisson’s ratio,are assumed to vary according to a rational fraction function of radius.By solving the heat conduction and Navier equations,the theoretical solutions for the functionally graded hollow cylinder under one-dimensional steady-state condition are obtained.The theoretical solutions are in good agreement with those of finite element method,thus validating the correctness of the theoretical solutions.Moreover,the effects of thermal expansion coefficient on the radial displacement and stresses are discussed.

关 键 词：功能梯度材料(FGM) 有理分式梯度 空心圆筒 热弹性 

分 类 号：O343.6[理学—固体力学]