 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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