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

✍ Scribed by N.K. Akhmedov; Yu. A. Ustinov

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 317 KB
• Volume: 73
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/j.jappmathmech.2009.07.010

✦ Synopsis

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.