Analysis of the structure of the boundary layer in the problem of the torsion of a laminated spherical shell

Əhmədov, Natiq; Ustinov, Yu.

doi:10.1016/j.jappmathmech.2009.07.010

Analysis of the structure of the boundary layer in the problem of the torsion of a laminated spherical shell

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Əhmədov N., Ustinov Y. A.

Journal of Applied Mathematics and Mechanics, vol.73, no.3, pp.296-303, 2009 (SCI-Expanded)

Publication Type: Article / Article
Volume: 73 Issue: 3
Publication Date: 2009
Doi Number: 10.1016/j.jappmathmech.2009.07.010
Journal Name: Journal of Applied Mathematics and Mechanics
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.296-303
Azerbaijan State University of Economics (UNEC) Affiliated: Yes

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. © 2009 Elsevier Ltd. All rights reserved.