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Numerical analysis of FGM plates with variable thickness subjected to thermal buckling

  • Bouguenina, Otbi (Department of Civil Engineering and Hydraulics, University of Saida) ;
  • Belakhdar, Khalil (Department of Science and Technology, University Centre of Tamanrasset) ;
  • Tounsi, Abdelouahed (Laboratory of Materials and Hydrology, University of Sidi Bel Abbes) ;
  • Adda Bedia, El Abbes (Laboratory of Materials and Hydrology, University of Sidi Bel Abbes)
  • Received : 2014.12.12
  • Accepted : 2015.02.09
  • Published : 2015.09.25

Abstract

A numerical solution using finite difference method to evaluate the thermal buckling of simply supported FGM plate with variable thickness is presented in this research. First, the governing differential equation of thermal stability under uniform temperature through the plate thickness is derived. Then, the governing equation has been solved using finite difference method. After validating the presented numerical method with the analytical solution, the finite difference formulation has been extended in order to include variable thickness. The accuracy of the finite difference method for variable thickness plate has been also compared with the literature where a good agreement has been found. Furthermore, a parametric study has been conducted to analyze the effect of material and geometric parameters on the thermal buckling resistance of the FGM plates. It was found that the thickness variation affects isotropic plates a bit more than FGM plates.

Keywords

References

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