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Steel and Composite Structures   Volume 25, Number 6, December30 2017, pages 693-704
DOI: http://dx.doi.org/10.12989/scs.2017.25.6.693
 
An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions
Hadj Henni Abdelaziz, Mohamed Ait Amar Meziane, Abdelmoumen Anis Bousahla, Abdelouahed Tounsi, S.R. Mahmoud and Afaf S. Alwabli

 
Abstract     [Full Text]
    In this research, a simple hyperbolic shear deformation theory is developed and applied for the bending, vibration and buckling of powerly graded material (PGM) sandwich plate with various boundary conditions. The displacement field of the present model is selected based on a hyperbolic variation in the in-plane displacements across the plate\'s thickness. By splitting the deflection into the bending and shear parts, the number of unknowns and equations of motion of the present formulation is reduced and hence makes them simple to use. Equations of motion are obtained from Hamilton\'s principle. Numerical results for the natural frequencies, deflections and critical buckling loads of several types of powerly graded sandwich plates under various boundary conditions are presented. The accuracy of the present formulation is demonstrated by comparing the computed results with those available in the literature. As conclusion, this theory is as accurate as other theories available in the literature and so it becomes more attractive due to smaller number of unknowns.
 
Key Words
    functionally graded materials; sandwich plates; hyperbolic plate theory; various boundary conditions; free vibration; buckling loads; bending
 
Address
Hadj Henni Abdelaziz, Mohamed Ait Amar Meziane, Abdelmoumen Anis Bousahla, Abdelouahed Tounsi : Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of SidiBel Abbes, Algeria
Hadj Henni Abdelaziz, Mohamed Ait Amar Meziane : Universite Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algeria
Abdelmoumen Anis Bousahla, Abdelouahed Tounsi : Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algeria
Abdelmoumen Anis Bousahla : Centre Universitaire de Relizane, Algerie
S.R. Mahmoud : Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia
Afaf S. Alwabli : Biology Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
 

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