Structural Engineering and Mechanics

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Buckling analysis of FG plates via 2D and quasi-3D refined shear deformation theories

  • Lemya Hanifi Hachemi Amar (Built Environment Research Laboratory, University of Science and Technology Houari Boumediene (USTHB)) ;
  • Fouad Bourada (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Abdelmoumen Anis Bousahla (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi BelAbbes) ;
  • Abdelouahed Tounsi (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Kouider Halim Benrahou (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Hind Albalawi (Department of Physics, College of Sciences, Princess Nourah bint Abdulrahman University (PNU)) ;
  • Abdeldjebbar Tounsi (Industrial Engineering and Sustainable Development Laboratory, University of Relizane, Faculty of Science & Technology, Mechanical Engineering Department)
  • Received : 2021.09.18
  • Accepted : 2023.01.16
  • Published : 2023.03.25
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Abstract

In this work, a novel combined logarithmic, secant and tangential 2D and quasi-3D refined higher order shear deformation theory is proposed to examine the buckling analysis of simply supported uniform functionally graded plates under uniaxial and biaxial loading. The proposed formulations contain a reduced number of variables compared to others similar solutions. The combined function employed in this study ensures automatically the zero-transverse shear stresses at the free surfaces of the structure. Various models of the material distributions are considered (linear, quadratic, cubic inverse quadratic and power-law). The differentials stability equations are derived via virtual work principle with including the stretching effect. The Navier's approach is applied to solve the governing equations which satisfying the boundary conditions. Several comparative and parametric studies are performed to illustrates the validity and efficacity of the proposed model and the various factors influencing the critical buckling load of thick FG plate.

Keywords

Acknowledgement

Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSPHC2022/7), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

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