On Heating of Thin Circular Elastic-plastic Plate with the Yield Stress Depending on Temperature

Dats, E. P.; Murashkin, E. V.; Стадник, Никита Эдуардович

doi:10.1016/j.proeng.2016.12.134

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Cited by 10 publications

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“…Mathematical models of deformation of the items manufactured by the methods described above must undoubtedly take into account temperature effects. The thermoelasticity model [6][7][8][9][10][11][12][13][14][15][16][17][18]. In this work, we will consider the problem of the residual stresses calculation under conditions of toroidal symmetry.…”

Section: Preliminary Remarksmentioning

confidence: 99%

Residual stresses calculation in a thermoelastoplastic torus after cooling

Dats

Kovalev

Murashkin

2022

J. Phys.: Conf. Ser.

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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.

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