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Analytical modeling of bending and vibration of thick advanced composite plates using a four-variable quasi 3D HSDT

  • Mokhtar Khiloun
  • Abdelmoumen Anis BousahlaEmail author
  • Abdelhakim Kaci
  • Aicha BessaimEmail author
  • Abdelouahed Tounsi
  • S. R. Mahmoud
Original Article
  • 25 Downloads

Abstract

This work presents an efficient and original high-order shear and normal deformation theory for the static and free vibration analysis of functionally graded plates. The Hamilton’s principle is used herein to derive the equations of motion. The number of unknowns and governing equations of the present theory is reduced, and hence makes it simple to use. The present plate theory approach accounts for both transverse shear and normal deformations and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Unlike any other theory, the number of unknown functions involved in displacement field is only four, as against five or more in the case of other shear and normal deformation theories. The accuracy of the proposed solution is checked by comparing it with other closed form solutions available in the literature.

Keywords

Functionally graded (FG) plates Bending Vibration New plate theory Normal deformation 

Notes

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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  • Mokhtar Khiloun
    • 1
  • Abdelmoumen Anis Bousahla
    • 2
    • 3
    Email author
  • Abdelhakim Kaci
    • 1
    • 4
  • Aicha Bessaim
    • 1
    • 5
    Email author
  • Abdelouahed Tounsi
    • 1
    • 6
  • S. R. Mahmoud
    • 7
  1. 1.Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering DepartmentUniversity of Sidi Bel AbbèsSidi Bel AbbèsAlgeria
  2. 2.Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences ExactesUniversité de Sidi Bel AbbésSidi Bel AbbèsAlgeria
  3. 3.Centre Universitaire Ahmed Zabana de RelizaneRelizaneAlgeria
  4. 4.Department of Civil Engineering and HydraulicsUniversity of SaidaSaidaAlgeria
  5. 5.Department of Civil EngineeringUniversity Mustapha Stambouli of MascaraMascaraAlgeria
  6. 6.Department of Civil and Environmental EngineeringKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia
  7. 7.Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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