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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 4, Pages 695–703
DOI: https://doi.org/10.7868/S0044466915040055 (Mi zvmmf10195) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity

A. V. Glushko, E. A. Loginova, V. E. Petrova, A. S. Ryabenko

Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia
Full-text PDF (610 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466915040055
Abstract: The existence of a solution to the problem modeling a steady-state heat distribution in an inhomogeneous plane with a crack is proved. The singular terms of an asymptotic expansion of the heat flux near the ends of the crack are obtained in closed form.
Key words: crack, heat flux, singularity, asymptotic expansions.
Received: 22.02.2011
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 4, Pages 690–698
DOI: https://doi.org/10.1134/S0965542515040053
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: Primary 74A15; Secondary 35Q74, 74R10
Language: Russian
Citation: A. V. Glushko, E. A. Loginova, V. E. Petrova, A. S. Ryabenko, “Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015), 695–703; Comput. Math. Math. Phys., 55:4 (2015), 690–698
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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