Analytical prediction for nonlinear buckling of elastically supported fg-gplrc arches under a central point load

Zhicheng Yang, Airong Liu, Jie Yang, Siu Kai Lai, Jiangen Lv, Jiyang Fu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)


In this paper, we present an analytical prediction for nonlinear buckling of elastically supported functionally graded graphene platelet reinforced composite (FG-GPLRC) arches with asym-metrically distributed graphene platelets (GPLs). The effective material properties of the FG-GPLRC arch are formulated by the modified Halpin–Tsai micromechanical model. By using the principle of virtual work, analytical solutions are derived for the limit point buckling and bifurcation buckling of the FG-GPLRC arch subjected to a central point load (CPL). Subsequently, the buckling mode switching phenomenon of the FG-GPLRC arch is presented and discussed. We found that the buckling modes of the FG-GPLRC arch are governed by the GPL distribution pattern, rotational restraint stiffness, and arch geometry. In addition, the number of limit points in the nonlinear equilibrium path of the FG-GPLRC arch under a CPL can be determined according to the bounds of successive inflexion points. The effects of GPL distribution patterns, weight fractions, and geometric configu-rations on the nonlinear buckling behavior of elastically supported FG-GPLRC arches are also com-prehensively discussed.

Original languageEnglish
Article number2026
Issue number8
Publication statusPublished - 2 Apr 2021


  • Analytical solutions
  • Bifurcation buckling
  • Elastically supported FG-GPLRC arch
  • Limit point buckling

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this