On the question of torsion of the ring sector

B. G. Mironov^a, Yu. B. Mironov<sup>b

a</sup> Russian University of Transport
^b Moscow Technical University of Communications and Informatics

Abstract: This work examines the tension and deformed state of a sector of a ring made of ideal rigid plastic material under torsional deformation. In [1], elastic, purely plastic and elastic-plastic distribution of stresses during torsion rods, based on the half-reverse Saint-Venant method. In [2] considered basic equations and boundary conditions of the theory of torsion of ideally plastic rods, the stressed and deformed states of the rods are determined, discontinuous solutions were found. The torsion of various rods, sectors has been studied circular ring, variable cross-section rods from an ideal rigid plastic material. In [4] the general relations of the theory are defined torsion of rods with one type of anisotropy - translational anisotropy. In work [3], the dissipative function of the theory of translational ideal plastic anisotropy in torsion. [5] is devoted to the study limit state of translationally anisotropic rods during deformation torsion. In [7], the torsion of the isotropic sector of a thick-walled pipes. In work [6], provided that the rod is under the influence of an external pressure, the problem of determining the deformation components in the case of torsion is solved.

Keywords: torsion, isotropy, torsional deformation, components stress, plasticity condition, strain tensor, equilibrium equations, movement.

UDC: 539.374

Received: 20.11.2023
Accepted: 20.12.2022

DOI: 10.37972/chgpu.2023.58.4.005