A novel four-unknown integral model for buckling response of FG sandwich plates resting on elastic foundations under various boundary conditions using Galerkin\'s approach

Sara Chelahi Chikr, Abdelhakim Kaci, Abdelmoumen Anis Bousahla, Fouad Bourada, Abdeldjebbar Tounsi, E.A. Adda Bedia, S.R. Mahmoud, Kouider Halim Benrahou and Abdelouahed Tounsi

Abstract

In this work, the buckling analysis of material sandwich plates based on a two-parameter elastic foundation under various boundary conditions is investigated on the basis of a new theory of refined trigonometric shear deformation. This theory 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). Applying the principle of virtual displacements, the governing equations and boundary conditions are obtained. To solve the buckling problem for different boundary conditions, Galerkin\'s approach is utilized for symmetric EGM sandwich plates with six different boundary conditions. A detailed numerical study is carried out to examine the influence of plate aspect ratio, elastic foundation coefficients, ratio, side-to-thickness ratio and boundary conditions on the buckling response of FGM sandwich plates. A good agreement between the results obtained and the available solutions of existing shear deformation theories that have a greater number of unknowns proves to demonstrate the precision of the proposed theory.

Key Words

buckling sandwich plates; functionally graded materials; new four-unknown refined shear deformation theory and various boundary conditions

Address

Sara Chelahi Chikr: 1.) Department of Civil and Hydraulic Engineering, Dr Tahar Moulay University, Faculty of Technology, BP 138 Cité En-Nasr 20000, Saida, Algeria 2.) Water Resources and Environment Laboratory, Dr Tahar Moulay University, BP 138 Cité En-Nasr 20000, Saida, Algeria Abdelhakim Kaci: 1.) Department of Civil and Hydraulic Engineering, Dr Tahar Moulay University, Faculty of Technology, BP 138 Cité En-Nasr 20000, Saida, Algeria 2.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Abdelmoumen Anis Bousahla: 1.) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 2.) Multi-scale Modeling and Simulation Laboratory, University of Sidi Bel Abbés, Algeria Fouad Bourada: 1.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2.) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 3.) Department of Science and Technology, Tissemsilt University Center, BP 38004 Ben Hamouda, Algeria Abdeldjebbar Tounsi, Kouider Halim Benrahou and Abdelouahed Tounsi: 1.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2.) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia E.A. Adda Bedia: Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia S.R. Mahmoud: GRC Department, Jeddah Community College, King Abdulaziz University, Jeddah, Saudi Arabia

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