Buckling analysis of circular plates of functionally graded materials under uniform radial compression

This study presents the buckling analysis of radially loaded solid circular plate made of functionally graded material. The edge of the plate is either simply supported or clamped and the plate is assumed to be geometrically perfect. The equilibrium and stability equations, derived through variational formulation, are used to determine the prebuckling forces and critical buckling loads. The equations are based on Love–Kirchhoff hypothesis and the Sanderʹs non-linear strain-displacement relation. The results are verified with the known results in the literature.