Geodesic
Numerical simulation of temperature and thermal stress fields in a carbon block under external thermal effect
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 267-272.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, temperature stresses, thermoelastic displacement potential, numerical simulation.
Mots-clés : Poisson equation 
@article{JSFU_2022_15_3_a0,
     author = {Evgeniy N. Vasil'ev},
     title = {Numerical simulation of temperature and thermal stress fields in a carbon block under external thermal effect},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {267--272},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a0/}
}
TY  - JOUR
AU  - Evgeniy N. Vasil'ev
TI  - Numerical simulation of temperature and thermal stress fields in a carbon block under external thermal effect
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2022
SP  - 267
EP  - 272
VL  - 15
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a0/
LA  - en
ID  - JSFU_2022_15_3_a0
ER  - 
%0 Journal Article
%A Evgeniy N. Vasil'ev
%T Numerical simulation of temperature and thermal stress fields in a carbon block under external thermal effect
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2022
%P 267-272
%V 15
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a0/
%G en
%F JSFU_2022_15_3_a0
Evgeniy N. Vasil'ev. Numerical simulation of temperature and thermal stress fields in a carbon block under external thermal effect. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 267-272. http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a0/

[1] M.W. Meier, W.K. Fischer, R.S. Perruchoud, L.J. Gauckler, Thermal shock of anodes-a solved problem?, Light Metals, 1994, 685–694

[2] Yu.G. Mikhalev, P.V Polyakov, A.S. Yasinskiy, S.G. Shahrai, A.I. Bezrukikh, A.V. Zavadyak, “Anode processes malfunctions causes. An overview”, Journal of Siberian Federal University. Engineering and Technologies, 10:5 (2017), 593–606 (in Russian) | DOI

[3] A.A. Samarskii, The theory of difference schemes, Nauka, M., 1989 (in Russian) | MR

[4] E.N. Vasil'ev, “Calculation of the Thermal Resistance of a Heat Distributer in the Cooling System of a Heat-Loaded Element”, Technical Physics, 63:4 (2018), 471–475 | DOI

[5] J.P. Schneider, B. Coste, “Thermomechanical modelling of thermal shock in anodes”, Light Metals, 1993, 621–628

[6] S.N. Akhmedov, V.V. Tikhomirov, B.S. Gromov, R.V. Pak, A.I. Ogurtsov, “Specific features of the lining deformation of the cathode devices of aluminum electrolysers”, Tsvetnye metally, 2004, no. 1, 48–51 (in Russian)

[7] N.I. Bezukhov, V.L. Bazhanov, I.I. Gol'denblatt, N.A. Nikolaenko, A.M. Sinyukov, The Calculations for Strength, Stability, and Oscillations in High Temperature Conditions, Mashinostroenie, M., 1965 (in Russian)

[8] S.E. Vyatkin, A.N. Deev, V.G. Nagornyi, V.S. Ostrovskii, A.M. Sigarev, G.A. Sokker, Nuclear Graphite, Atomizdat, M., 1967 (in Russian)

[9] D.H. Andersen, Z.L. Zhang, “Fracture and physical properties of carbon anodes for the aluminum reduction cell”, Engineering Fracture Mechanics, 78 (2011), 2998–3016 | DOI