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

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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
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     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},
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     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a0/}
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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/