Buckling Analysis of Functionally Graded Beams Using the Finite Element Method

This study developed a finite element model according to higher-order shear deformation beam theory insert ignore into journalissuearticles values(HSDT); for the buckling analysis of functionally graded insert ignore into journalissuearticles values(FG); beams. Equilibrium equations of the FG beam are obtained from Lagrange’s equations. The beam element to be discussed within the scope of the study has 5 nodes and 16 degrees of freedom insert ignore into journalissuearticles values(DOF);. As a result of the buckling analysis, the critical buckling load of the beam was obtained for various boundary conditions, power-law index insert ignore into journalissuearticles values(p);, and slenderness insert ignore into journalissuearticles values(L/h);. When the critical buckling loads obtained as a result of the analysis were compared with the literature, it was seen that they were quite compatible.