Advances in materials Research

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Bending and free vibration analysis for FGM plates containing various distribution shape of porosity

  • Hadji, Lazreg (Department of Mechanical Engineering, University of Tiaret) ;
  • Bernard, Fabrice (University of Rennes, INSA Rennes, Laboratory of Civil Engineering and Mechanical Engineering) ;
  • Safa, Abdelkader (Department of Civil Engineering, Ahmed Zabana University Centre) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes)
  • Received : 2020.07.26
  • Accepted : 2021.03.22
  • Published : 2021.06.25
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Abstract

In this paper hyperbolic shear deformation plate theory is presented for bending and the free vibration of functionally graded plates with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. Four different porosity types are used for functionally graded plates. Equations of motion are derived from Hamilton's principle. In the solution of the governing equations, the Navier procedure is implemented. In the numerical examples, the effects of the porosity parameters, porosity types and geometry parameters on the bending and free vibration of the functionally graded plates are investigated. It was found that the distribution form of porosity significantly influence the mechanical behavior of FG plates, in terms of deflection, normal, shear stress and frequency.

Keywords

Acknowledgement

This research was supported by the Algerian Ministry of Higher Education and Scientific Research (MESRS) as part of the grant for the PRFU research project n° A01L02UN140120180001 and by the University of Tiaret, in Algeria

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