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Steel and Composite Structures Volume 43, Number 6, June25 2022 , pages 725-734 DOI: https://doi.org/10.12989/scs.2022.43.6.725 |
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Analytical solution of buckling problem in plates reinforced by Graphene platelet based on third order shear deformation theory |
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Linyun Zhou and Yasaman Najjari
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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. | ||
| Key Words | ||
| analytical solution; buckling; GPL; nanocomposite plate; TSDT | ||
| Address | ||
| Linyun Zhou:School of Transportation, Southeast University, Nanjing 210096, Jiangsu, China Yasaman Najjari:Department of Civil Engineering, Faculty of Engineering and Technology, University of Mazandaran, Babolsar, Iran | ||