Several three-dimensional solutions for transversely isotropic functionally graded material plate welded with circular inclusion |
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| Authors: | Bo Yang Weiqiu Chen Haojiang Ding |
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| Affiliation: | 1. Department of Civil Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, China;2. State Key Laboratory of CAD & CG, Zhejiang University, Zijingang Campus, Hangzhou 310058, China;3. Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Soft Matter Research Center, Department of Engineering Mechanics, Zhejiang University, Yuquan Campus, Hangzhou 310027, China;4. Department of Civil Engineering, Zhejiang University, Zijingang Campus, Hangzhou 310058, China |
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| Abstract: | 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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| Keywords: | plate analytical solution functionally graded material (FGM) welded circular inclusion |
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