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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 7, Pages 1230–1242
DOI: https://doi.org/10.1134/S0044466919070093 (Mi zvmmf10927) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Steady-state heat distribution in bimaterial with an interface crack: Part 2

A. V. Glushko, A. S. Ryabenko, A. S. Chernikova

Voronezh State University, Voronezh, 394018 Russia
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DOI: https://doi.org/10.1134/S0044466919070093
Abstract: The problem of a steady-state heat distribution in a domain consisting of two subdomains filled with different inhomogeneous materials is considered. Mathematically, the conditions on the boundary of the subdomains modeling heat transfer and a heat flux through their common boundary are transmission conditions. Additionally, the boundary conditions model a crack on the boundary of the subdomains, which leads to inhomogeneities in the boundary conditions. The problem is studied by constructing its solution using the Green's function with the help of the WKB method and by comparing the singularities of the solution components with those of a specially chosen problem with constant coefficients and boundary functions of special form.
Key words: transmission problem, weak solution, boundary conditions, steady-state heat equation, crack, asymptotics.
Received: 17.01.2018
Revised: 11.01.2019
Accepted: 11.03.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 7, Pages 1172–1184
DOI: https://doi.org/10.1134/S096554251907008X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Glushko, A. S. Ryabenko, A. S. Chernikova, “Steady-state heat distribution in bimaterial with an interface crack: Part 2”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019), 1230–1242; Comput. Math. Math. Phys., 59:7 (2019), 1172–1184
Citation in format AMSBIB
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