Several three-dimensional solutions for transversely isotropic functionally graded material plate welded with circular inclusion  

作　　者：Bo YANG Weiqiu CHEN Haojiang DING 

机构地区：[1]Department of Civil Engineering,Zhejiang Sci-Tech University [2]State Key Laboratory of CAD & CG,Zhejiang University [3]Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province,Soft Matter Research Center,Department of Engineering Mechanics,Zhejiang University,Yuquan Campus [4]Department of Civil Engineering,Zhejiang University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2016年第6期683-694,共12页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11202188,11321202,and 11172263);the Program for Innovative Research Team of Zhejiang Sci-Tech University

摘　　要：The problem of a transversely isotropic functionally graded material （FGM） plate welded with a circular inclusion is considered. The analysis starts with the general- ized England-Spencer plate theory for transversely isotropic FGM plates, which expresses a three-dimensional （3D） general solution in terms of four analytic functions. Several analytical solutions are then obtained for an infinite FGM plate welded with a circular inclusion and subjected to the loads at infinity. Three different cases are considered, i.e., a rigid circular inclusion fixed in the space, a rigid circular inclusion rotating about the x-, y-, and z-axes, and an elastic circular inclusion with different material constants from the plate itself. The static responses of the plate and/or the inclusion are investigated through numerical examples.The problem of a transversely isotropic functionally graded material （FGM） plate welded with a circular inclusion is considered. The analysis starts with the general- ized England-Spencer plate theory for transversely isotropic FGM plates, which expresses a three-dimensional （3D） general solution in terms of four analytic functions. Several analytical solutions are then obtained for an infinite FGM plate welded with a circular inclusion and subjected to the loads at infinity. Three different cases are considered, i.e., a rigid circular inclusion fixed in the space, a rigid circular inclusion rotating about the x-, y-, and z-axes, and an elastic circular inclusion with different material constants from the plate itself. The static responses of the plate and/or the inclusion are investigated through numerical examples.

关 键 词：PLATE functionally graded material （FGM） welded circular inclusion analytical solution 

分 类 号：O343[理学—固体力学]