Steady-State Heat Distribution in Bimaterial with an Interface Crack: Part 1

Autor:	A. S. Ryabenko, A. S. Chernikova, A. V. Glushko
Rok vydání:	2019
Předmět:	Steady state Plane (geometry) Weak solution 010102 general mathematics Mathematical analysis Boundary (topology) 01 natural sciences Exponential function 010101 applied mathematics Computational Mathematics Distribution (mathematics) Thermal Boundary value problem 0101 mathematics Mathematics
Zdroj:	Computational Mathematics and Mathematical Physics. 59:978-993
ISSN:	1555-6662 0965-5425
DOI:	10.1134/s096554251906006x
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d48638731c2b3e6cfc71c30d2e3baa0c https://doi.org/10.1134/s096554251906006x Zobrazit plný text záznamu Full text from SpringerLink