Effects of Pasternak foundation on the bending behavior of FG porous plates in hygrothermal environment

Ikram Kheira Bot, Abdelmoumen Anis Bousahla, Amine Zemri, Mohamed Sekkal, Abdelhakim Kaci, Fouad Bourada, Abdelouahed Tounsi, M.H. Ghazwani and S.R. Mahmoud

Abstract

This research is devoted to study the effects of humidity and temperature on the bending behavior of functionally graded (FG) ceramic-metal porous plates resting on Pasternak elastic foundation using a quasi-3D hyperbolic shear deformation theory developed recently. The present plate theory with only four unknowns, takes into account both transverse shear and normal deformations and satisfies the zero traction boundary conditions on the surfaces of the functionally graded plate without using shear correction factors. Material properties of porous FG plate are defined by rule of the mixture with an additional term of porosity in the through-thickness direction. The governing differential equations are obtained using the "principle of virtual work". Analytically, the Navier method is used to solve the equations that govern a simply supported FG porous plate. The obtained results are checked by comparing the results determined for the perfect and imperfect FG plates with those available in the scientific literature. Effects due to material index, porosity factors, moisture and thermal loads, foundation rigidities, geometric ratios on the FG porous plate are all examined. Finally, this research will help us to design advanced functionally graded materials to ensure better durability and efficiency for hygro-thermal environments.

Key Words

functionally graded materials; porosity; hygrothermal; thickness stretching; elastic foundation

Address

Ikram Kheira Bot:Industrial Engineering and Sustainable Development Laboratory, University of Relizane, Faculty of Science & Technology, Mechanical Engineering Department, Algeria Abdelmoumen Anis Bousahla:Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algeria Amine Zemri:University of Relizane, Faculty of Science & Technology, Civil Engineering Department, Algeria Mohamed Sekkal:1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2)Universite des sciences et de la technologie Houari-Boumediene, Faculte de Genie Civil, Departement structures et materiaux, Alger, Algerie 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)Departement des Sciences et de la Technologie, Universite de Tissemsilt, BP 38004 Ben Hamouda, Algerie 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 M.H. Ghazwani:Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O box 45124, Jazan, Kingdom of Saudia Arabia S.R. Mahmoud:GRC Department, Jeddah Community College, King Abdulaziz University, Jeddah, Saudi Arabia

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