Applied Mathematics and Mechanics >
Several three-dimensional solutions for transversely isotropic functionally graded material plate welded with circular inclusion
Received date: 2015-10-07
Revised date: 2016-02-03
Online published: 2016-06-01
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 11202188, 11321202, and 11172263) and the Program for Innovative Research Team of Zhejiang Sci-Tech University
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 an-alytical 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.
Bo YANG, Weiqiu CHEN, Haojiang DING . Several three-dimensional solutions for transversely isotropic functionally graded material plate welded with circular inclusion[J]. Applied Mathematics and Mechanics, 2016 , 37(6) : 683 -694 . DOI: 10.1007/s10483-016-2086-6
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