Geodesic
Creep and long-term strength of the rod interacting with the fluid sodium
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 50-55.

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We suggest the mathematical model describing the creep and the long-term strength of the pearlitic steel with the fluid sodium as aggressive environment. The base theory we use is the Yu. N. Rabotnov kinetic equations. We suggest the stable numerical algorithm solving the problem, complete with the diffusion equations describing the kinetics of mechanical characteristics of material. The calculation results of the stress-strain state of rod in fluid sodium are given. The verification of the numerical model adequacy to the experimental data is made. 
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V. V. Kabanin; L. V. Sogots'yan; I. G. Ovchinnikov. Creep and long-term strength of the rod interacting with the fluid sodium. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 50-55. http://geodesic.mathdoc.fr/item/VSGTU_2007_1_a7/

[1] Rabotnov Yu. N., Polzuchest elementov konstruktsii, Nauka, M., 1966 | Zbl

[2] Ovchinnikov I. G., Severyukhin N. V., “Postroenie modeli deformirovaniya i razrusheniya elementa konstruktsii, obezuglerozhivaemogo v zhidkom metalle”, Korroziya metallov i splavov, KazPTI, Alma-Ata, 1985, 81–87

[3] Kalitkin N. N., Chislennye metody, Nauka, M., 1978 | MR

[4] Forsait Dzh., Malkolm M., Mouler K., Mashinnye metody matematicheskikh vychislenii, Mir, M., 1980 | MR