Thermodynamical bending analysis of P-FG sandwich plates resting on nonlinear visco-Pasternak's elastic foundations

Abdeldjebbar Tounsi , Adda Hadj Mostefa , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , Mofareh Hassan Ghazwani , Fouad Bourada , Abdelhakim Bouhadra

Abstract

In this research, the study of the thermoelastic flexural analysis of silicon carbide/Aluminum graded (FG) sandwich 2D uniform structure (plate) under harmonic sinusoidal temperature load over time is presented. The plate is modeled using a simple two dimensional integral shear deformation plate theory. The current formulation contains an integral terms whose aim is to reduce a number of variables compared to others similar solutions and therefore minimize the computation time. The transverse shear stresses vary according to parabolic distribution and vanish at the free surfaces of the structure without any use of correction factors. The external load is applied on the upper face and varying in the thickness of the plates. The structure is supposed to be composed of "three layers" and resting on nonlinear visco-Pasternak's-foundations. The governing equations of the system are deduced and solved via Hamilton's principle and general solution. The computed results are compared with those existing in the literature to validate the current formulation. The impacts of the parameters (material index, temperature exponent, geometry ratio, time, top/bottom temperature ratio, elastic foundation type, and damping coefficient) on the dynamic flexural response are studied.

Key Words

thermoelastic flexural response; FG sandwich plates; 2D integral theory; visco-Pasternak's foundation

Address

Abdeldjebbar Tounsi — Industrial Engineering and Sustainable Development Laboratory, University of Relizane, Faculty of Science & Technology, Mechanical Engineering Department, Algeria
Adda Hadj Mostefa and Abdelmoumen Anis Bousahla — ndustrial Engineering and Sustainable Development Laboratory, Department of Civil Engineering, University of Relizane, Faculty of Science & Technology, Algeria
Abdelouahed Tounsi — 1)YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea 2)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 3)Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon
Mofareh Hassan Ghazwani — Mechanical Engineering Department, Faculty of Engineering, Jazan University P. O. Box 45142, Jazan, Kingdom of Saudi
Fouad Bourada — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Abdelhakim Bouhadra — 1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2)Department of Civil Engineering, Faculty of Science and Technology, Abbes Laghrour University of Khenchela, Algeria

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