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Thermal buckling and postbuckling of FGM circular plates with in-plane elastic restraints

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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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Authors and Affiliations

  1. School of Civil Science and Engineering, Yangzhou University, Yangzhou, 225127, Jiangsu Province, China

    Yun Sun, Maolin Wang & Shirong Li

Authors
  1. Yun Sun
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  2. Maolin Wang
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  3. Shirong Li
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Corresponding author

Correspondence to Shirong Li.

Additional information

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

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Chinese Library Classification

2010 Mathematics Subject Classification

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