On the neutral loading of a disk under thermal and force influences

Abstract

On the neutral loading of a disk under thermal and force influences

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

Incoming article date: 27.05.2018

A thin circular disk is considered, the material of which exhibits elastic and plastic properties under thermal and force influences. In the central part of the disk, the temperature field is uniform. At the boundary of the disk, pressure and a constant temperature are set. Approximation of a plane stress state is adopted. The additive form of the connection of full, elastic, plastic deformations and deformations under free thermal expansion is considered. Elastic deformations are expressed in terms of stresses according to Hooke's law. A linear approximation of the dependence of the plasticity limit on temperature is proposed. The possibility of neutral loading of the central region of the disk and its external boundary is shown. Especially distinguished is the condition for the plasticity of Tresca.

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