Bending, buckling and free vibration behaviours of 2D functionally graded curved beams

The flexural, free vibration and buckling responses of 2D-FG curved beams with various shear deformation theories are presented by using finite element model. Their material properties via both directions (length and thickness) are varied with power-law distribution. A two-node beam element satisfying C1 continuity requirement is employed to solve the problems. Various problems including isotropic, 1D- and 2D-FG curved beams are analysed and the obtained results are verified with those available in the literature. Comprehensive parameter examinations are carried out to depict the effects of gradation indexes in both directions, open angles, end conditions and aspect ratios on structural behaviours of 2D-FG curved beams.