Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load  

作　　者：HUANG De-jin DING Hao-jiang CHEN Wei-qiu 

机构地区：[1]Department of Civil Engineering, Zhejiang University. Hangzhou 310027. China [2]Faculty of Engineering, Ningbo University, Ningbo 315211, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2007年第9期1351-1355,共5页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10472102 and 1043203);the Foundation of Ningbo University (No. 2005014), China

摘　　要：The bending problem of a functionally graded anisotropic cantilever beam subjected to thermal and uniformly dis-tributed load is investigated,with material parameters being arbitrary functions of the thickness coordinate. The heat conduction problem is treated as a 1D problem through the thickness. Based on the elementary formulations for plane stress problem,the stress function is assumed to be in the form of polynomial of the longitudinal coordinate variable,from which the stresses can be derived. The stress function is then determined completely with the compatibility equation and boundary conditions. A practical example is presented to show the application of the method.The bending problem of a functionally graded anisotropic cantilever beam subjected to thermal and uniformly distributed load is investigated, with material parameters being arbitrary functions of the thickness coordinate. The heat conduction problem is treated as a 1 D problem through the thickness. Based on the elementary formulations for plane stress problem, the stress function is assumed to be in the form of polynomial of the longitudinal coordinate variable, from which the stresses can be derived. The stress function is then determined completely with the compatibility equation and boundary conditions. A practical example is presented to show the application of the method.

关 键 词：Functionally graded material （FGM） ANISOTROPIC Thermal stress Analytical solution Cantilever beam 

分 类 号：O343.1[理学—固体力学]