Elasto-Plastic Bending of Thin Annular Plates

This paper is concerned with the analysis of the elasto-plastic bending of thin annular plates based on Mises' yield condition and Hencky's stress-strain relations. The fundamental equations for the purely elastic range are obtained from the usual ones by introducting a new variable representing the appearance of plastic state on the surface of plate, and the elastoplastic range is analysed by using the corresponding V.V. Sokolovsky's equations. Numerical calculation is performed for several combinations of edge conditions, loading conditions and the ratios of inner and outer radii. Propagation of the plastic range in the meridian section and distributions of the deflection and th components of bending moments for various magnitudes of load intensity are obtained for each case.