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

作　　者：Yun SUN Maolin WANG Shirong LI 

机构地区：[1]School of Civil Science and Engineering, Yangzhou University

出　　处：《Applied Mathematics and Mechanics(English Edition)》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)

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.

关 键 词：functionally graded material （FGM） circular plate in-plane elastic restraint thermal post-buckling shooting method equilibrium path 

分 类 号：O344.1[理学—固体力学]