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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 6, Pages 1007–1023
DOI: https://doi.org/10.1134/S0044466919060061 (Mi zvmmf10911) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Steady-state heat distribution in bimaterial with an interface crack: Part 1

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

Voronezh State University, Voronezh, 394018 Russia
Citations (2)
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DOI: https://doi.org/10.1134/S0044466919060061
Abstract: The transmission problem describing a steady-state temperature distribution in a plane consisting of two half-planes occupied by different materials with exponential internal thermal conductivities with a single finite crack along the interface is considered. The compatibility conditions for the boundary functions are formulated under which the problem has a unique classical solution. Closed-form representations of the classical solution are found. The weak solution to the problem is studied without making additional assumptions, and asymptotic expansions are constructed for the weak solution and its first derivatives near the ends of the crack.
Key words: transmission problem, classical solution, boundary conditions, steady-state heat equation, crack, asymptotics.
Received: 17.01.2018
Revised: 19.11.2018
Accepted: 08.02.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 6, Pages 978–993
DOI: https://doi.org/10.1134/S096554251906006X
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 1”, Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019), 1007–1023; Comput. Math. Math. Phys., 59:6 (2019), 978–993
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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