Steel and Composite Structures

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Analytical solution of buckling problem in plates reinforced by Graphene platelet based on third order shear deformation theory

  • Zhou, Linyun (School of Transportation, Southeast University) ;
  • Najjari, Yasaman (Department of Civil Engineering, Faculty of Engineering and Technology, University of Mazandaran)
  • Received : 2021.12.27
  • Accepted : 2022.05.24
  • Published : 2022.06.25
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Abstract

In this paper, buckling analyses of nanocomposite plate reinforced by Graphen platelet (GPL) is studied. The Halphin-Tsai model is used for obtaining the effective material properties of nanocomposite plate. The nanocomposite plate is modeled by Third order shear deformation theory (TSDT). The elastic medium is simulated by Winkler model. Employing relations of strains-displacements and stress-strain, the energy equations of the plate are obtained and using Hamilton's principle, the governing equations are derived. The governing equations are solved based on analytical solution. The effect of GPL volume percent, geometrical parameters of plate and elastic foundation on the buckling load are investigated. Results show that with increasing GPLs volume percent, the buckling load increases. In addition, elastic medium can enhance the values of buckling load significantly.

Keywords

Acknowledgement

This work was supported by National Science Foundation of China (51808208).

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