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

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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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Correspondence to Bo Yang.

Additional information

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

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Yang, B., Chen, W. & Ding, H. Several three-dimensional solutions for transversely isotropic functionally graded material plate welded with circular inclusion. Appl. Math. Mech.-Engl. Ed. 37, 683–694 (2016). https://doi.org/10.1007/s10483-016-2086-6

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  • DOI: https://doi.org/10.1007/s10483-016-2086-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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