On the stressed state of a thin disk with allowance for the dependence of the yield stress on temperature

Abstract

On the stressed state of a thin disk with allowance for the dependence of the yield stress on temperature

Artemov M.A., Baranovskii E.S., Berdzenishvili G.G., Pereyaslavskaya I.I.

Incoming article date: 12.09.2017

Within the Tresca yield criterion and its associated flow rule, the stress-strain problem in an elastic-plastic thin circular solid disk is considered under a temperature field such as the yield stress of the material depends on the temperature. In the central part of the disk the temperature is homogeneous. On the outer boundary, the disk is subjected to uniformly distributed pressure and constant temperature. The objective of the paper is to determine the service conditions which allow to obtain the temperature in the central part of the disk and its radius such as the initiation of the plastic zone starts either from the center of the disk or from its outer contour. The elastic-plastic boundary is calculated, and the plots for stresses and strains are presented. To verify the solution, the equivalent stresses for permissible plastic regimes are investigated together with the stress vector hodograph . The algorithm of similar problems is developed. The validity of the usage of the Tresca yield criterion when the yield stress of the material depends on the temperature is discussed.

Keywords: mathematical modeling, elastoplastic body, plane stress state, piecewise linear plasticity conditions, plastic flow theory, thermoelastic plasticity