Elasto-plastic buckling and post-buckling analysis of sandwich plates with functionally graded metal-metal face sheets and interfacial damage
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- 作者：Yi-ming Fu (1)
Xue-fei Shao (1)
Yang Chen (1) - 关键词：sandwich plate with functionally graded metal ; metal face sheet ; weak bonded interface damage model ; elasto ; plastic buckling ; elasto ; plastic post ; buckling ; O357.41 ; 35B41 ; 37L30 ; 35D35
- 刊名：Applied Mathematics and Mechanics
- 出版年：2014
- 出版时间：March 2014
- 年：2014
- 卷：35
- 期：3
- 页码：325-344
- 全文大小：370 KB
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Xue-fei Shao (1)
Yang Chen (1)
1. Department of Engineering Mechanics, Hunan University, Changsha, 410082, P. R. China - ISSN：1573-2754
文摘
Based on the elasto-plastic theory, considering the effect of spherical stress tensor on the elasto-plastic deformation and using the slicing treatment to deal with the plasticity of functionally graded coatings, the elasto-plastic increment constitutive equations of the sandwich plates with functionally graded metal-metal face sheets can be derived. Applying the weak bonded theory to the interfacial constitutive relation and taking into account the geometric nonlinearity, the nonlinear increment differential equilibrium equations of the sandwich plates with functionally graded metal-metal face sheets are obtained by the minimum potential energy principle. The finite difference method and the iterative method are used to obtain the post-buckling path. When the effect of geometrical nonlinearity of the plate is ignored, the elasto-plastic critical buckling load of the sandwich plates with functionally graded metal-metal face sheets can be solved by the Galerkin method and the iterative method. In the numerical examples, the effects of the interface damages, the induced load ratio, the functionally graded index, and the geometry parameters on the elasto-plastic post-buckling path and the elasto-plastic critical buckling load are investigated.