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Advances in Aircraft and Spacecraft Science
  Volume 5, Number 6, November 2018, pages 615-632
DOI: https://doi.org/10.12989/aas.2018.5.6.615
 
open access

Mechanical buckling of functionally graded plates using a refined higher-order shear and normal deformation plate theory
A.M. Zenkour and M.H. Aljadani

 
Abstract
    Mechanical buckling of a rectangular functionally graded plate is obtained in the current paper using a refined higher-order shear and normal deformation theory. The impact of transverse normal strain is considered. The material properties are microscopically inhomogeneous and vary continuously based on a power law form in spatial direction. Navier\'s procedure is applied to examine the mechanical buckling behavior of a simply supported FG plate. The mechanical critical buckling subjected to uniaxial and biaxial compression loads are determined. The numerical investigation are compared with the numerical results in the literature. The influences of geometric parameters, power law index and different loading conditions on the critical buckling are studied.
 
Key Words
    functionally graded plates; a refined higher-order normal and shear deformation theory; Navier\'s procedure; mechanical buckling analysis
 
Address
A.M. Zenkour and M.H. Aljadani: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
A.M. Zenkour: Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
M.H. Aljadani: Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah 21421, Saudi
Arabia
 

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