Buckling Analysis of Functionally Graded Superconducting Thin Plates under External Magnetic Fields

This paper investigates the buckling characteristics of functionally graded high-temperature superconducting (HTS) thin circular plates subjected to applied perpendicular magnetic fields. To account for the effects of material heterogeneity on the electromagnetic response, the extended generalized Irie-Yamafuji critical state model is adopted. Analytical solutions are derived for the electromagnetic field distribution and electromagnetic body forces as the applied magnetic field increases. Based on classical thin plate theory and the initial value method, the critical buckling states of functionally graded HTS plates with various boundary conditions are obtained. Through numerical examples, the influences of the functional gradient indexes, boundary conditions, the thickness-diameter ratio and model indexes on buckling behavior are systematically analyzed, and several novel findings are presented.