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Steel and Composite Structures Volume 19, Number 3, September 2015 , pages 679-695 DOI: https://doi.org/10.12989/scs.2015.19.3.679 |
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Numerical analysis of FGM plates with variable thickness subjected to thermal buckling |
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Otbi Bouguenina, Khalil Belakhdar, Abdelouahed Tounsi and El Abbes Adda Bedia
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| 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. | ||
| Key Words | ||
| FGM plate; thermal buckling; stability analysis; finite difference; numerical method | ||
| Address | ||
| (1) Otbi Bouguenina: Department of Civil Engineering and Hydraulics, University of Saida, BP 138 Cité Ennacer, 20000 Saida, Algeria; (2) Khalil Belakhdar: Department of Science and Technology, University Centre of Tamanrasset, BP 10034 Sersouf, Tamanrasset, Algeria; (3) Abdelouahed Tounsi, El Abbes Adda Bedia: Laboratory of Materials and Hydrology, University of Sidi Bel Abbes, BP 89 Cité Ben M'hidi, 22000 Sidi Bel Abbes, Algeria. | ||