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A novel hyperbolic shear deformation theory for the mechanical buckling analysis of advanced composite plates resting on elastic foundations

  • Soltani, Kheira (Department of Mechanical Engineering, Faculty of Technology, University of Sidi Bel Abbes) ;
  • Bessaim, Aicha (University Mustapha Stambouli of Mascara, Faculty of Sciences and Technology, Civil Engineering Department) ;
  • Houari, Mohammed Sid Ahmed (University Mustapha Stambouli of Mascara, Faculty of Sciences and Technology, Civil Engineering Department) ;
  • Kaci, Abdelhakim (Universite Dr Taher Moulay Saida - Algeria, Departement de Genie Civil et Hydraulique) ;
  • Benguediab, Mohamed (Department of Mechanical Engineering, Faculty of Technology, University of Sidi Bel Abbes) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Alhodaly, Mohammed Sh (Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University)
  • Received : 2018.04.12
  • Accepted : 2018.11.18
  • Published : 2019.01.10
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Abstract

This work presents the buckling investigation of functionally graded plates resting on two parameter elastic foundations by using a new hyperbolic plate theory. The main advantage of this theory is that, in addition to including the shear deformation effect, the displacement field is modelled with only four unknowns and which is even less than the first order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT) by introducing undetermined integral terms, hence it is unnecessary to use shear correction factors. The governing equations are derived using Hamilton's principle and solved using Navier's steps. The validation of the proposed theoretical model is performed to demonstrate the efficacy of the model. The effects of various parameters like the Winkler and Pasternak modulus coefficients, inhomogeneity parameter, aspect ratio and thickness ratio on the behaviour of the functionally graded plates are studied. It can be concluded that the present theory is not only accurate but also simple in predicting the critical buckling loads of functionally graded plates on elastic foundation.

Keywords

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