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Elasto-plastic buckling and post-buckling analysis of sandwich plates with functionally graded metal-metal face sheets and interfacial damage

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Abstract

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.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Hunan University, Changsha, 410082, P. R. China

    Yi-ming Fu  (傅衣铭), Xue-fei Shao  (邵雪飞) & Yang Chen  (陈 央)

Authors
  1. Yi-ming Fu  (傅衣铭)
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  2. Xue-fei Shao  (邵雪飞)
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  3. Yang Chen  (陈 央)
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Corresponding author

Correspondence to Xue-fei Shao  (邵雪飞).

Additional information

Project supported by the National Natural Science Foundation of China (No. 11072076)

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Fu, Ym., Shao, Xf. & Chen, Y. Elasto-plastic buckling and post-buckling analysis of sandwich plates with functionally graded metal-metal face sheets and interfacial damage. Appl. Math. Mech.-Engl. Ed. 35, 325–344 (2014). https://doi.org/10.1007/s10483-014-1794-7

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  • DOI: https://doi.org/10.1007/s10483-014-1794-7

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Chinese Library Classification

2010 Mathematics Subject Classification

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