Static stability analysis of FG thick plate supported by three parameters foundation under general boundary conditions

Document Type : Research Paper


1 Department of Civil Engineering, Faculty of Architecture and Civil Engineering, University of Sciences and Technology Mohamed Boudiaf, Oran 31000, Algeria

2 Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, Djillali Liabes University, Sidi Bel Abbes 22000, Algeria

3 Department of Civil Engineering, University Mustapha Stambouli of Mascara 29000, Algeria

4 Department of Mechanical Engineering, Faculty of Science and Technology, Abbes Laghrour University, Khenchela 40000, Algeria

5 Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia

6 Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia


In this paper, an analytical solution for exploring the buckling characteristics of functionally graded (FG) plate is presented based on a quasi-3D shear deformation theory. It is considered that the plate is subjected to different types of in-plane compressive load. The FG plate is placed on three-parameter foundation Winkler-Pasternak-Kerr. The overall material properties of FG plate are assumed to be varied across the thickness and are estimated through the Voigt micromechanical model. The governing equations are obtained on the base of the quasi-3D deformation theory that contain undetermined integral forms and involves only four unknowns to derive. Equations of motion are derived from the principal of virtual work and the analytical solution is used to determine the critical buckling loads. By the discussion of numerical examples and the comparison with those of the reports in the literature, the convergence and the reliability of the present approach are validated. Finally, the parametric investigations of the in-plane buckling are carried out, including the influence of boundary conditions, elastic foundation, plate geometric parameters and power law index. The results reveal that the critical buckling loads are strongly influenced by several parameters such as boundary conditions, elastic foundation parameters and geometric shape of the plate.


Main Subjects

Articles in Press, Accepted Manuscript
Available Online from 01 May 2024
  • Receive Date: 13 April 2024
  • Revise Date: 30 April 2024
  • Accept Date: 01 May 2024