3D analytical solution for a rotating transversely isotropic annular plate of functionally graded materials

作     者：CHEN Jiang-ying CHEN Wei-qiu 

作者机构：Faculty of Engineering Ningbo University Ningbo 315211 China Department of Civil Engineering Zhejiang University Hangzhou 310027 China 

出 版 物：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 (浙江大学学报（英文版）A辑（应用物理与工程）)

年 卷 期：2007年第8卷第7期

页      面：1038-1043页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10472102 and 10432030) the Natural Science Foun-dation of Zhejiang Province (No. Y605040) Ningbo City (No.2005A610024), China 

主　　题：Functionally graded materials Transversely isotropic Rotating annular plate Analytical solution 

摘      要：The analytical solution for an annular plate rotating at a constant angular velocity is derived by means of direct displacement method from the elasticity equations for axisymmetric problems of functionally graded transversely isotropic media. The displacement components are assumed as a linear combination of certain explicit functions of the radial coordinate, with seven undetermined coefficients being functions of the axial coordinate z. Seven equations governing these z-dependent functions are derived and solved by a progressive integrating scheme. The present solution can be degenerated into the solution of a rotating isotropic functionally graded annular plate. The solution also can be degenerated into that for transversely isotropic or isotropic homogeneous materials. Finally, a special case is considered and the effect of the material gradient index on the elastic field is illustrated numerically.