A novel refined shear deformation theory for the buckling analysis of thick isotropic plates

M. Fellah, Kada Draiche, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi, Tareq Saeed, Mohammed Sh. Alhodaly and Mohamed Benguediab

Abstract

In present study, a novel refined hyperbolic shear deformation theory is proposed for the buckling analysis of thick isotropic plates. The new displacement field is constructed with only two unknowns, as against three or more in other higher order shear deformation theories. However, the hyperbolic sine function is assigned according to the shearing stress distribution across the plate thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using any shear correction factors. The equations of motion associated with the present theory are obtained using the principle of virtual work. The analytical solution of the buckling of simply supported plates subjected to uniaxial and biaxial loading conditions was obtained using the Navier method. The critical buckling load results for thick isotropic square plates are compared with various available results in the literature given by other theories. From the present analysis, it can be concluded that the proposed theory is accurate and efficient in predicting the buckling response of isotropic plates.

Key Words

buckling analysis; isotropic plates; new displacement field; Navier method; analytical modeling

Address

M. Fellah and Mohamed Benguediab: Departement de Genie Mécanique, Faculte de Technologie, Universite Sidi Bel Abbes, Algerie Kada Draiche: 1) Departement de Genie Civil, Universite Ibn Khaldoun Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algerie 2) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Mohammed Sid Ahmed Houari: 1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2) University Mustapha Stambouli of Mascara, Faculty of Sciences and Technology, Civil Engineering Department, Mascara, Algeria 3) Centre of Excellence for Advanced Materials Research, King Abdulaziz University, Jeddah, 21589, Saudi Arabia Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Tareq Saeed and Mohammed Sh. Alhodaly: Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

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