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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 3, Pages 50–56
DOI: https://doi.org/10.18500/1816-9791-2012-12-3-50-56 (Mi isu313) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

The asymptotic separation of variables in thermoelastic problem for anisotropic layer with inhomogeneous boundary conditions

V. A. Vestyaka, A. V. Zemskova, I. A. Fedorovb

a Moscow Aviation Institute (National Research University), Chair of Mathematical Modelling
b Moscow State University of Railway Engineering, Chair of Quality Management
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DOI: https://doi.org/10.18500/1816-9791-2012-12-3-50-56
Abstract: A method for resolving a thermoelasticity problem with inhomogeneous boundary conditions is presented. Boundary conditions represent uneven surface heating of the layer. An asymptotic procedure for separation of variables based on introduction of additional dimensional scales is used. With an additional assumption that the unevenness of the heating is small enough this procedure makes it possible to obtain the solution. The method is shown for periodic heating case. After the separation of variables the solution is obtained using Fourier series.
Key words: thermoelasticity, anisotropic, assymptotics.
Bibliographic databases:
Document Type: Article
UDC: 539.3+517.95
Language: Russian
Citation: V. A. Vestyak, A. V. Zemskov, I. A. Fedorov, “The asymptotic separation of variables in thermoelastic problem for anisotropic layer with inhomogeneous boundary conditions”, Izv. Saratov Univ. Math. Mech. Inform., 12:3 (2012), 50–56
Citation in format AMSBIB
\Bibitem{VesZemFed12}
\by V.~A.~Vestyak, A.~V.~Zemskov, I.~A.~Fedorov
\paper The asymptotic separation of variables in thermoelastic problem for anisotropic layer with inhomogeneous boundary conditions
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 3
\pages 50--56
\mathnet{http://mi.mathnet.ru/isu313}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-3-50-56}
\elib{https://elibrary.ru/item.asp?id=22271132}
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    • This publication is cited in the following 1 articles:
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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