The rotating solid disk in the fully plastic state

Subject of the investigation is the distribution of stress, displacement, and plastic strain in a rotating solid disk of elastic-plastic material with linear strain-hardening in the fully plastic state. In order to obtain a realistic model of the rotating disk one may not neglect hardening. Since the onset of plastic flow occurs at the axis of the disk the corresponding image-point lies in a corner of Tresca's hexagon. As in related cases, the plastic zone of the rotating disk is composed of two parts, the image points of the outer part lying on one side of the hexagon. It is demonstrated that the boundary between the two regions approaches a limit for unbounded growth of the angular velocity. Residual stress remaining in the disk after the standstill is discussed.