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Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution

Evkin, Alexander; Kolesnikov, Maxim; Prikazchikov, Danila A

Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution Thumbnail


Authors

Alexander Evkin

Maxim Kolesnikov



Abstract

An asymptotic solution is suggested for a thin isotropic spherical shell subject to uniform external pressure and concentrated load. The pressure is the main load and a concentrated lateral load is considered as a perturbation that decreases buckling pressure. First, the post-buckling solution of the shell under uniform pressure is constructed. A known asymptotic result for large deflections is used for this purpose. In addition, an asymptotic approximation for small post-buckling deflections is obtained and matched with the solution for large deflections. The proposed solution is in good agreement with numerical results. An asymptotic formula is then derived, with the load-deflection diagrams analyzed for the case of combined load. Buckling load combinations are calculated as limiting points in the load-deflection diagrams. The sensitivity of the spherical shell to local perturbations under external pressure is analyzed. The suggested asymptotic result is validated by a finite element method using the ANSYS simulation software package.

Journal Article Type Article
Acceptance Date Feb 6, 2016
Publication Date Mar 21, 2016
Publicly Available Date Mar 29, 2024
Journal Mathematics and Mechanics of Solids
Print ISSN 1081-2865
Publisher SAGE Publications
Peer Reviewed Peer Reviewed
Volume 22
Issue 6
Pages 1425-1437
DOI https://doi.org/10.1177/1081286516635872
Keywords Spherical shell, post-buckling behaviour, uniform asymptotic, load combination, perturbation analysis
Publisher URL http://dx.doi.org/10.1177/1081286516635872

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