Thermal buckling of FGM beams having parabolic thickness variation and temperature dependent materials

Othman Arioui , Khalil Belakhdar , Abdelhakim Kaci , Abdelouahed Tounsi

Abstract

investigation on the thermal buckling resistance of simply supported FGM beams having parabolic-concave thickness variation and temperature dependent material properties is presented in this paper. An analytical formulation based on the first order beam theory is derived and the governing differential equation of thermal stability is solved numerically using finite difference method. a function of thickness variation is introduced which controls the parabolic variation intensity of the beam thickness without changing its original material volume. The results showed the high importance of taking into account the temperature-dependent material properties in the thermal buckling analysis of such critical beam sections. Different Influencing parametric on the thermal stability are studied which may help in design guidelines of such complex structures.

Key Words

FGM beam; thermal buckling; stability analysis; finite difference method; parabolic-concave; thickness variation

Address

(1) Othman Arioui — Department of Civil Engineering, University of Oran of Science and Technology, Oran, Algeria
(2) Othman Arioui — Laboratory of Structural Mechanics and Structural Stability, University of Oran of Science and Technology, Oran, Algeria
(3) Khalil Belakhdar — Department of Science and Technology, University Centre of Tamanrasset, BP 10034 Sersouf, Tamanrasset, Algeria
(4) Abdelhakim Kaci — Department of Civil Engineering and Hydraulics, University of Saida, Algeria
(5) Khalil Belakhdar, Abdelhakim Kaci, Abdelouahed Tounsi — Laboratory of Materials and Hydrology, University of Sidi Bel Abbes, Algeria
(6) Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia.

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