Bifurcation buckling conditions of FGM plates with different boundaries


Composite Structures, vol.245, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 245
  • Publication Date: 2020
  • Doi Number: 10.1016/j.compstruct.2020.112325
  • Journal Name: Composite Structures
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chimica, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: Bending, Buckling, Finite element method, Functionally graded plate, Shear and normal deformable plate theory
  • Yıldız Technical University Affiliated: Yes


This study is dedicated to understand the possibility of bending before the bifurcation buckling of the functionally graded (FG) plate which has the unsymmetrical material property distribution according to the its midplane. Based on the midplane formulation, the dimensionless critical buckling loads (DCBLs) of FG plates are computed by using a finite element method and shear and normal deformable plate theory for nine different boundary conditions (CCCC, CCCS, SCSC, SSSC, SSSS, CSCF, SCSF, SSSF and SFSF). And then, the FG plate is subjected to in-plane loads which are less than the associated DCBLs to observe the possibility of bending before buckling. It is found that the bifurcation buckling can only be obtained for CCCC, SCSC and SSSC BCs. The bifurcation buckling is impossible for other boundary conditions. For the FG plates having unsymmetrical design, the DCBLs are numerically calculated based on the neutral surface approach as well. It is noteworthy that the true bifurcation buckling can only be observed by using the neutral surface formulation. The transverse deflection due to the bending is quite pronounced especially for the plates with free edge. Since in-plane load is applied to the free edge, the transverse deflection is inevitable for the FG plates.