Three-dimensional elasticity solutions for bending of generally supported thick functionally graded plates

作     者：张鹤 蒋吉清 张治成 He ZHANG;Ji-qing JIANG;Zhi-cheng ZHANG

作者机构：College of Civil Engineering and Architecture Zhejiang University School of Civil Engineering Zhejiang University City College Department of Civil Engineering Zhejiang University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2014年第35卷第11期

页      面：1467-1478页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 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.51108412,11472244,and 11202186) the National Basic Research Program of China(973 Program)(No.2013CB035901) the Fundamental Research Funds for the Central Universities(No.2014QNA4017) the Zhejiang Provincial Natural Science Foundation of China(No.LR13A020001) 

主　　题：functionally grade material thick plate three-dimensional solution semianalytical approach 

摘      要：Three-dimensional elasticity solutions for static bending of thick functionally graded plates are presented using a hybrid semi-analytical approach-the state-space based differential quadrature method （SSDQM）. The plate is generally supported at four edges for which the two-way differential quadrature method is used to solve the in-plane variations of the stress and displacement fields numerically. An approximate laminate model （ALM） is exploited to reduce the inhomogeneous plate into a multi-layered laminate, thus applying the state space method to solve analytically in the thickness direction. Both the convergence properties of SSDQM and ALM are examined. The SSDQM is validated by comparing the numerical results with the exact solutions reported in the literature. As an example, the Mori-Tanaka model is used to predict the effective bulk and shear moduli. Effects of gradient index and aspect ratios on the bending behavior of functionally graded thick plates are investigated.