Open AccessResidual stresses calculation in a thermoelastoplastic torus after cooling
Author(s) -
E. P. Dats,
V A Kovalev,
Е. В. Мурашкин
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2231/1/012026
Subject(s) - torus , toroid , boundary value problem , symmetry (geometry) , residual , mechanics , residual stress , materials science , prandtl number , mathematics , physics , mathematical analysis , geometry , heat transfer , composite material , plasma , algorithm , quantum mechanics
The present study deals with the boundary value problems under toroidal symmetry conditions. The residual stresses after cooling (unloading) in an elasto-plastic material are calculated. Throughout the paper the conventional Prandtl-Reuss model is generalised and used. The solution to the problem of hollow torus cooling under a temperature gradient is obtained and discussed. Analytical solutions, as an approximation of complete boundary value problem, describing residual deformations and stresses under conditions of toroidal symmetry are constructed and discussed.