Abstract
Based on von Karman’s plate theory, the axisymmetric thermal buckling and post-buckling of the functionally graded material (FGM) circular plates with inplane elastic restraints under transversely non-uniform temperature rise are studied. The properties of the FGM media are varied through the thickness based on a simple power law. The governing equations are numerically solved by a shooting method. The results of the critical buckling temperature, post-buckling equilibrium paths, and configurations for the in-plane elastically restrained plates are presented. The effects of the in-plane elastic restraints, material property gradient, and temperature variation on the responses of thermal buckling and post-buckling are examined in detail.
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Project supported by the National Natural Science Foundation of China (Nos. 11272278 and 11672260) and the China Postdoctoral Science Foundation (No. 149558)
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Sun, Y., Wang, M. & Li, S. Thermal buckling and postbuckling of FGM circular plates with in-plane elastic restraints. Appl. Math. Mech.-Engl. Ed. 38, 1459–1470 (2017). https://doi.org/10.1007/s10483-017-2242-6
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DOI: https://doi.org/10.1007/s10483-017-2242-6
Key words
- functionally graded material (FGM) circular plate
- in-plane elastic restraint
- thermal post-buckling
- shooting method
- equilibrium path