Influence of porosity on thermal buckling behavior of functionally graded beams

Hichem Bellifa , Mahmoud M. Selim , Abdelbaki Chikh , Abdelmoumen Anis Bousahla , Fouad Bourada , Abdeldjebbar Tounsi , Kouider Halim Benrahou , Mesfer Mohammad Al-Zahrani , Abdelouahed Tounsi

Abstract

The interest of this work is the analysis of the effect of porosity on the nonlinear thermal stability response of power law functionally graded beam with various boundary conditions. The modelling was done according to the Euler-Bernoulli beam model where the distribution of material properties is imitated polynomial function. The thermal loads are assumed to be not only uniform but linear as well non-linear and the temperature rises through the thickness direction. The effects of the porosity parameter, slenderness ratio and power law index on the thermal buckling of P-FG beam are discussed.

Key Words

functionally graded material; thermal buckling; Euler beam theory; porosity parameter

Address

(1) Hichem Bellifa, Abdelbaki Chikh, Fouad Bourada, Abdeldjebbar Tounsi, Kouider Halim Benrahou, Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
(2) Mahmoud M. Selim — Department of Mathematics, Al-Aflaj College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al-Aflaj 710-11912, Saudi Arabia
(3) Abdelbaki Chikh — Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie
(4) Abdelmoumen Anis Bousahla, Abdeldjebbar Tounsi — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
(5) Fouad Bourada — Département des Sciences et de la Technologie, Université de Tissemsilt, BP 38004 Ben Hamouda, Algérie
(6) Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
(7) Mesfer Mohammad Al-Zahrani, Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia.

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