Abstract
In this research, mechanical buckling of circular plates composed of functionally graded materials is considered. Equilibrium and stability equations of a functionally graded material circular plate under uniform radial compression are derived, based on the higher-order shear deformation plate theory. Assuming that the material properties vary as a power form of the thickness coordinate variablez and using the variational method, the system of fundamental partial differential equations is established. A buckling analysis of a functionally graded circular plate under uniform radial compression is carried out and the results are given in closed-form solutions. The results are compared with the buckling loads of plates obtained for a functionally graded circular plate based on the first-order shear deformation plate theory and classical plate theory given in the literature. The study concludes that higher-order shear deformation plate theory accurately predicts the behavior of a functionally graded circular plate, whereas the first-order shear deformation plate theory and classical plate theory overestimate buckling loads.
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