On the behavior of an elastoplastic disk under the action of a thermal source

Abstract

On the behavior of an elastoplastic disk under the action of a thermal source

Berdzenishvili G.G., Artemov M.A., Baranovskii E.S., Semka E.I., Fatkhudinov D.B.

Incoming article date: 01.06.2018

The steps of constructing an algorithm for calculating the stressed and strained state of a thin circular disk experiencing thermal and force effects are discussed. A homogeneous temperature field is created in the central part of the disk. Within the framework of the theory of the flow of an ideal elastoplastic body, conditions of general plasticity are considered. It is assumed that the plasticity limit for uniaxial tension is common for all plasticity conditions. Dependencies between the disk radius, the temperature of the central region of the disk and the external pressure, which determine the appearance of plastic regions, are established. For piecewise-linear plasticity conditions of general form, analogous dependences are defined, when singular plasticity regimes are realized at elastoplastic boundaries. For different values ​​of the input parameters of the problem, the stresses, equivalent stresses and the hodograph of the stress vector are given.

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