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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2022 Volume 15, Issue 3, Pages 267–272 (Mi jsfu995)

Numerical simulation of temperature and thermal stress fields in a carbon block under external thermal effect

Evgeniy N. Vasil'ev

Institute of Computational Modelling of SB RAS, Krasnoyarsk, Russian Federation

Abstract: The paper is devoted to modelling thermal and stress-strain state of a carbon block when it is partially immersed in an electrolyte. The temperature field in the block was determined from the solution of a non-stationary three-dimensional heat conduction equation. The calculation of temperature stresses was carried out on the basis of the solution of the Poisson equation for the thermoelastic displacement potential. The temperature fields in the carbon block were obtained at various points in time. The stress-strain field was also obtained. Then the location and magnitude of the maximal temperature stresses were determined. It allows one to assess the fracture of the carbon block.

Keywords: heat conduction equation, Poisson equation, temperature stresses, thermoelastic displacement potential, numerical simulation.

UDC: 517.96

Received: 23.11.2021
Received in revised form: 28.01.2022
Accepted: 20.03.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-3-267-272



© Steklov Math. Inst. of RAS, 2024