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

doi:10.1007/s10483-017-2242-6

Abstract

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.

Key words: the reciprocal theorem, concentrated load, set square, in-plane elastic restraint, functionally graded material(FGM)circular plate, thermal post-buckling, shooting method, equilibrium path

2010 MSC Number:

74K20
74B05

Yun SUN, Maolin WANG, Shirong LI. Thermal buckling and postbuckling of FGM circular plates with in-plane elastic restraints. Applied Mathematics and Mechanics (English Edition), 2017, 38(10): 1459-1470.

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