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A new hybrid HSDT for bending, free vibration, and buckling analysis of FGM plates (2D & quasi-3D)

  • Belkhodja, Y. (Laboratory of Science and Technology Environment and Valorization, Faculty of Sciences and Technology, Abdelhamid Ibn Badis University) ;
  • Ouinas, D. (Laboratory of Science and Technology Environment and Valorization, Faculty of Sciences and Technology, Abdelhamid Ibn Badis University) ;
  • Fekirini, H. (Mechanics and physics of materials Laboratory, Mechanical Engineering Department, Faculty of Technology, Djillali Liabes University) ;
  • Olay, J.A. Vina (Materials Science and Metallurgical Engineering Department, University of Oviedo, Viesques Campus) ;
  • Achour, B. (Civil Engineering Department, University of Ha'il, KSA) ;
  • Touahmia, M. (Civil Engineering Department, University of Ha'il, KSA) ;
  • Boukendakdji, M. (Civil Engineering Department, University of Ha'il, KSA)
  • Received : 2020.04.29
  • Accepted : 2021.11.24
  • Published : 2022.03.25
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Abstract

A new hybrid quasi-3D and 2D high-order shear deformation theory is studied in this mathematical formulation, for an investigation of the bending, free vibrations and buckling influences on a functionally graded material plate. The theoretical formulation has been begun by a displacement field of five unknowns, governing the transverse displacement across the thickness of the plate by bending, shearing and stretching. The transverse shear deformation effect has been taken into consideration, satisfying the stress-free boundary conditions, especially on plate free surfaces as parabolic variation through its thickness. Thus, the mechanical properties of the functionally graded plate vary across the plate thickness, following three distributions forms: the power law, exponential form and the Mori-Tanaka scheme. The mechanical properties are used to develop the equations of motion, obtained from the Hamilton principle, and solved by applying the Navier-type solution for simply supported boundary conditions. The results obtained are compared with other solutions of 2D, 3D and quasi-3D plate theories have been found in the literature.

Keywords

Acknowledgement

The research reported herein was funded by the Deanship of Scientific Research at the University of Hail, Saudi Arabia, through the project number RG- 20098. The authors would like to express their deepest gratitude to the Deanship of Scientific Research and to the College of Engineering at the University of Hail for providing necessary support to conducting this research.

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