 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
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| In English (Mech. Solids): | | 4810 |
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| S. A. Nazarov, "Thin elastic coatings and surface enthalpy," Mech. Solids. 42 (5), 710-722 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
5 |
Pages |
710-722 |
| Title |
Thin elastic coatings and surface enthalpy |
| Author(s) |
S. A. Nazarov (Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Bol’shoy pr-t 61, St. Petersburg, 199178, Russia, serna@snark.ipme.ru) |
| Abstract |
We obtain explicit formulas for the first few terms in the asymptotics of the solution of the problem on the deformation of a body with a thin elastic coating and propose several methods, based on these formulas, for modeling the problem with the use of the Wentzel boundary conditions or a regular perturbation of the boundary. We present estimates of the asymptotic remainders, including those in formulas obtained by modeling. |
| References |
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| 17. | S. A. Nazarov,
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of Operators and the Method of Matched Asymptotic Expansions,"
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5, 112-183 (1996). |
| 18. | S. A. Nazarov and J. Sokolowski,
"Asymptotic Analysis of Shape Functionals,"
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No. 5, 842-851 (1990). |
| 21. | S. A. Nazarov,
"The Spatial Structure of the Stress Field in the
Neighbourhood of the Corner Point of a Thin Plate,"
Prikl. Mat. Mekh.
55 (4), 653-661 (1991)
[J. Appl. Math. Mech. (Engl. transl.)]. |
|
| Received |
14 December 2006 |
| Link to Fulltext |
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