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Nonlocal thermal buckling and postbuckling of functionally graded graphene nanoplatelet reinforced piezoelectric micro-plate

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Abstract

This paper analyzes the nonlocal thermal buckling and postbuckling behaviors of a multi-layered graphene nanoplatelet (GPL) reinforced piezoelectric micro-plate. The GPLs are supposed to disperse as a gradient pattern in the composite micro-plate along its thickness. The effective material properties are calculated by the Halpin-Tsai parallel model and mixture rule for the functionally graded GPL reinforced piezoelectric (FG-GRP) micro-plate. Governing equations for the nonlocal thermal buckling and postbuckling behaviors of the FG-GRP micro-plate are obtained by the first-order shear deformation theory, the von Kármán nonlinear theory, and the minimum potential energy principle. The differential quadrature (DQ) method and iterative method are introduced to numerically analyze the effects of the external electric voltage, the distribution pattern and characteristic of GPLs, and the nonlocal parameter on the critical buckling behaviors and postbuckling equilibrium path of the FG-GRP micro-plate in thermal environment.

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Authors and Affiliations

  1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing, 100124, China

    Shuai Wang, Jiajia Mao & Wei Zhang

  2. No. 310 Institute, the Third Academy of China Aerospace Science and Industry Corporation, Beijing, 100074, China

    Haoming Lu

Authors
  1. Shuai Wang
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  2. Jiajia Mao
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  3. Wei Zhang
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  4. Haoming Lu
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Correspondence to Jiajia Mao.

Additional information

Citation: WANG, S., MAO, J. J., ZHANG, W., and LU, H. M. Nonlocal thermal buckling and postbuckling of functionally graded graphene nanoplatelet reinforced piezoelectric micro-plate. Applied Mathematics and Mechanics (English Edition), 43(3), 341–354 (2022) https://doi.org/10.1007/s10483-022-2821-8

Project supported by the National Natural Science Foundation of China (Nos. 11802005, 12172012, 11832002, and 11427801) and the General Program of Science and Technology Development Project of Beijing Municipal Education Commission of China (No. KM201910005035)

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Wang, S., Mao, J., Zhang, W. et al. Nonlocal thermal buckling and postbuckling of functionally graded graphene nanoplatelet reinforced piezoelectric micro-plate. Appl. Math. Mech.-Engl. Ed. 43, 341–354 (2022). https://doi.org/10.1007/s10483-022-2821-8

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  • DOI: https://doi.org/10.1007/s10483-022-2821-8

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