Mathematic modeling of the elasto-plastic state of a rotating disk

Abstract

Mathematic modeling of the elasto-plastic state of a rotating disk

Akinshin V. V., Artemov M.A., Baranovskii E. S., Skornyakov N.S. , Fatkhudinov D. B.

Incoming article date: 15.06.2019

Within approaching 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 values of external parameters for which the plastic zones appear have been defined. The stresses in plastic zones are obtained from the solution of the Cauchy problem, which includes two differential equations to define the stress tensor nonzero component. In order to estimate the stress state in the elastic zone the equivalent stress is introduced. The maximum allowable values of external parameters are obtained from the solution of the problem when the disk is in the limit state. The numerical results are represented as the stress vector hodograph.

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