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

被引：2
|
作者：
Yang, Bo [1 ]
Chen, Weiqiu [2 ,3 ]
Ding, Haojiang [4 ]
机构：
[1] Zhejiang Sci Tech Univ, Dept Civil Engn, Hangzhou 310018, Zhejiang, Peoples R China
[2] Zhejiang Univ, State Key Lab CAD & CG, Zijingang Campus, Hangzhou 310058, Zhejiang, Peoples R China
[3] Zhejiang Univ, Dept Engn Mech, Soft Matter Res Ctr, Key Lab Soft Mechines & Smart Devices Zhejiang Pr, Yuquan Campus, Hangzhou 310027, Zhejiang, Peoples R China
[4] Zhejiang Univ, Dept Civil Engn, Zijingang Campus, Hangzhou 310058, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2016年 / 37卷 / 06期
基金：
中国国家自然科学基金;
关键词：
plate; functionally graded material (FGM); welded circular inclusion; analytical solution; ELASTICITY SOLUTIONS;
D O I：
10.1007/s10483-016-2086-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 generalized 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.
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页码：683 / 694
页数：12
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