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


Əhmədov N., Ustinov Y. A.

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

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.