Effect of Pressure-Dependency of the Yield Criterion on the Development of Plastic Zones and the Distribution of Residual Stresses in Thin Annular Disks

摘要

The main objective of the present paper is to show an effect of pressure-dependency of thenyield criterion on the development of the plastic zone and the distribution of residualnstresses in a thin annular disk subject to a pressure over its inner edge during the loadingnstage. The Drucker–Prager yield criterion is adopted to account for the effect of thenhydrostatic pressure on plastic yielding. The state of stress is supposed to be plane andnthe material model is perfectly plastic. A semi-analytical stress solution to the problemnformulated is given and its qualitative features are emphasized. It is shown that thenpressure at which plastic yielding starts and the pressure at which the entire disk becomesnplastic are weakly affected by the pressure-dependency of the yield criterion. On the othernhand, this dependency has a significant effect on the maximum possible pressure that cannbe supported by the disk. The minimum pressure at which reverse yielding occurs is alsonaffected by the pressure-dependency of the yield criterion. In general, the residual radialnstress distribution is more influenced by the pressure-dependency of the yield criterionnthan the residual circumferential stress distribution, although the magnitude of circum-nferential stresses is larger than the magnitude of radial stresses. On the other hand, theneffect of pressure-dependency of the yield criterion on the residual circumferential stressndistribution is pronounced in the vicinity of the inner edge of the disk, where this stress isnimportant for improving fatigue performance of structures. u0001DOI: 10.1115/1.4003361