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

doi:10.1007/s10483-017-2242-6

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (10): 1459-1470.doi: https://doi.org/10.1007/s10483-017-2242-6

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

Yun SUN, Maolin WANG, Shirong LI

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

收稿日期:2016-10-12 修回日期:2017-04-25 出版日期:2017-10-01 发布日期:2017-10-01
通讯作者: Shirong LI E-mail:srli@yzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11272278 and 11672260) and the China Postdoctoral Science Foundation (No. 149558)

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

Yun SUN, Maolin WANG, Shirong LI

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

Received:2016-10-12 Revised:2017-04-25 Online:2017-10-01 Published:2017-10-01
Contact: Shirong LI E-mail:srli@yzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11272278 and 11672260) and the China Postdoctoral Science Foundation (No. 149558)

摘要/Abstract

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 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.

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

Abstract:

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

中图分类号:

74K20
74B05

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

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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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