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The limit state of a rotating disk

Abstract

The limit state of a rotating disk

Akinshin V. V. , Kolodyazhny V.E., Naydenov A.E., Skornyakov N.S.

Incoming article date: 13.06.2019

Within the plane-stress state the problem of a high-speed rotating disk being under side pressure is considered. Within the model of a perfect rigid-plastic body and the Mises yield criterion the allowable boundaries of external parameters have been defined. Within the model of a perfect elasto-plastic solid and the Mises yield criterion the limit state of the disk has been considered. The displacements and the deformations are assumed to be negligible quantity; deformation plasticity theory is chosen. The problem of defining the stresses is ecstatically determined. The displacements are determined together with the stresses. In order to define the displacements as single-valued within the model of a perfect elasto-plastic solid when the disk is in the limit state it is chosen the condition that the plastic deformations inside the disk side surface are equal to zero. For the model of a perfect rigid-plastic body in order to define the displacements as single-valued the displacements values inside the side surface of the disk are needed to be determined. Plots of numerical calculations for the stresses, the deformations, the displacements and the stress vector hodograph have been introduced.

Keywords: the plane-stress state, Mises yield criterion, the limit state, a rigid-plastic body, an elasto-plastic solid, a rotating disk, a stress vector hodograph