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 Issues2009-3pp.296-303

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N.K. Akhmedov and Yu.A. Ustinov, "Analysis of the structure of the boundary layer in the problem of the torsion of a laminated spherical shell," J. Appl. Math. Mech. 73 (3), 296-303 (2009)
Year 2009 Volume 73 Issue 3 Pages 296-303
Title Analysis of the structure of the boundary layer in the problem of the torsion of a laminated spherical shell
Author(s) N.K. Akhmedov (Azerbaijan Baku, anatiq@gmail.com)
Yu.A. Ustinov (Rostov-on-Don, Russia, ustinov@math.rsu.ru)
Abstract The structures of the boundary layer in the problem of the torsion of a radially stratified spherical segment (shell) with an arbitrary number of alternating hard and soft layers are investigated. It is shown that weakly attenuating boundary-layer solutions exist. Despite the fact that a stress state, self-balanced in the section, corresponds to these elementary solutions, they may penetrate fairly deeply and considerably change the stress–strain state pattern far from the ends. Using an asymptotic analysis of the problem, an applied theory of torsion is proposed which takes into account weakly attenuating boundary-layer solutions.
Received 28 February 2008
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