Mathematic modeling of a thin rotating solid disk being heat and force affected

Abstract

Mathematic modeling of a thin rotating solid disk being heat and force affected

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

Incoming article date: 07.06.2019

Mathematic modeling of the state of a thin round disk being heat and force affected is performed. In the central part of the disk the homogeneous field of temperatures is formed. Within the deformation theory of a perfect elasto-plastic solid the quadratic plasticity condition is chosen. The relationships between the radius of the disk, the temperature of the central part of the disk and the external pressure which defines the appearance of plastic zones have been established. For different values of external parameters of the model the stress vector hodograph and the plots of stresses and equivalent stresses have been introduced.

Keywords: mathematic modeling, an elastic-plastic solid, the plane-stress state, the deformation theory, thermo-elasto-plasticity, a high-speed rotating disk