Elasto-plastic large deflection of uniformly loaded sector plates

The governing equations for the elasto-plastic large deflection response of pressure loaded flat sector plates are presented in outline. In contrast to earlier studies by the authors, based on the Ilyushin full-section yield criterion, the present formulation is based on the Von Mises layered yield criterion and the Prandtl-Reuss flow theory of plasticity. It is shown that the first yield pressures predicted with the layered yield model are only about two-thirds of those predicted with the Ilyushin criterion. Detailed response plots for the centre deflection and the centre radial stress resultant and couple are presented for 60(0) slender and stocky plates with four edge condition combinations ranging from simply supported to clamped and in-plane fixed to in-plane free.