Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2008-1pp.92-101

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Yu.V. Nemirovskii and A.P. Yankovskii, "A method of asymptotic expansions of the solutions of the steady heat conduction problem for laminated non-uniform anisotropic plates," J. Appl. Math. Mech. 72 (1), 92-101 (2008)
Year 2008 Volume 72 Issue 1 Pages 92-101
Title A method of asymptotic expansions of the solutions of the steady heat conduction problem for laminated non-uniform anisotropic plates
Author(s) Yu.V. Nemirovskii (Novosibirsk, Russia, nemirov@itam.nsc.ru)
A.P. Yankovskii (Novosibirsk, Russia)
Abstract Outer asymptotic expansions of the solutions of the steady heat conduction problem for laminated anisotropic non-uniform plates for different boundary conditions on the faces are constructed. The two-dimensional resolvents obtained are analysed and the asymptotic properties of the solutions of the heat-conduction problem are investigated. Estimates are obtained of the accuracy with which the temperature in the plate outside the limits of the boundary layer can be assumed to be piecewise-linearly or piecewise-quadratically distributed over the thickness of the laminated structure. A physical justification for certain features of the asymptotic expansions of the temperature is given.
Received 08 July 2007
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