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

Thermal buckling and postbuckling of FGM circular plates with in-plane elastic restraints
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摘要 Based on von Karman's plate theory, the axisymmetric thermal buckling and post-buckling of the functionally graded material (FGM) circular plates with in- plane 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. Based on von Karman's plate theory, the axisymmetric thermal buckling and post-buckling of the functionally graded material (FGM) circular plates with in- plane 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第10期1459-1470,共12页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China(Nos.11272278 and11672260) the China Postdoctoral Science Foundation(No.149558)
关键词 functionally graded material (FGM) circular plate in-plane elastic restraint thermal post-buckling shooting method equilibrium path functionally graded material (FGM) circular plate, in-plane elastic restraint,thermal post-buckling, shooting method, equilibrium path
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