Mechanical and thermal stability investigation of functionally graded plates resting on visco-Pasternak foundation

Samira Hassiba Tagrara, Mohamed Mehdi hamri, Mahmoud Mohamed Selim Saleh, Mofareh Hassan Ghazwani, Abdelbaki Chikh, Abdelmoumen Anis Bousahla, Abdelhakim Kaci, Fouad Bourada and Abdelouahed Tounsi

Abstract

This work presents a simple four-unknown refined integral plate theory for mechanical and thermal buckling behaviors of functionally graded (FG) plates resting on Visco-Pasternak foundations. The proposed refined high order shear deformation theory has a new displacement field which includes indeterminate integral variables and contains only four unknowns in which any shear correction factor not used, with even less than the conventional theory of first shear strain (FSDT). Governing equations are deduced from the principle of minimum total potential energy and a Navier type analytical solution is adopted for simply supported FG plates. The Visco-Pasternak foundations is considered by adding the impact of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pasternak's foundation modulus. The accuracy of the present model is demonstrated by comparing the computed results with those available in the literature. Some numerical results are presented to show the impact of material index, elastic foundation type, and damping coefficient of the foundation, on the mechanical and thermal buckling behaviors of FG plates.

Key Words

buckling; four-unknown refined integral plate theory; functionally graded plate; Visco-Pasternak foundations

Address

Samira Hassiba Tagrara: 1) Departement de génie civil, Ecole nationale polytechnique d'Oran - Maurice Audin, Algérie 2)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Mohamed Mehdi hamri: Evolutionary Engineering and Distributed Information System Laboratory, Computer Science Departement, Exact Science Faculty, Djillali Liabes University at Sidi Bel Abbes, Algeria Mahmoud Mohamed Selim Saleh: Department of Mathematics, Al-Aflaj College of Science and Humanities, Prince Sattam Bin Abdulaziz University, Al-Aflaj, Al-Kharj 710- 11912, Saudi Arabia Mofareh Hassan Ghazwani: Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia 6Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algerie Abdelbaki Chikh:1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2) Universite Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algerie Abdelmoumen Anis Bousahla: Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria Abdelhakim Kaci:1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2) Universite Dr. Tahar Moulay, Faculte de Technologie, Departement de Genie Civil et Hydraulique, BP 138 Cite En-Nasr 20000 Saida, Algerie Fouad Bourada: 1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2) 9Science and Technology Department, Faculty of Science and Technology, Tissemsilt University, Algeria Abdelouahed Tounsi: 1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2) YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea 3)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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