Аннотация:The main objective of the present paper is to show an effect of pressure-dependency of the
yield criterion on the development of the plastic zone and the distribution of residual
stresses in a thin annular disk subject to a pressure over its inner edge during the loading
stage. The Drucker–Prager yield criterion is adopted to account for the effect of the
hydrostatic pressure on plastic yielding. The state of stress is supposed to be plane and
the material model is perfectly plastic. A semi-analytical stress solution to the problem
formulated is given and its qualitative features are emphasized. It is shown that the
pressure at which plastic yielding starts and the pressure at which the entire disk becomes
plastic are weakly affected by the pressure-dependency of the yield criterion. On the other
hand, this dependency has a significant effect on the maximum possible pressure that can
be supported by the disk. The minimum pressure at which reverse yielding occurs is also
affected by the pressure-dependency of the yield criterion. In general, the residual radial
stress distribution is more influenced by the pressure-dependency of the yield criterion
than the residual circumferential stress distribution, although the magnitude of circumferential stresses is larger than the magnitude of radial stresses. On the other hand, the effect of pressure-dependency of the yield criterion on the residual circumferential stress distribution is pronounced in the vicinity of the inner edge of the disk, where this stress is important for improving fatigue performance of structures.