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Axially compressed thin cylindrical shells: Asymptotic limits for a nonlinear basic state

Citation

Coman, CD and Bassom, AP, Axially compressed thin cylindrical shells: Asymptotic limits for a nonlinear basic state, International Journal of Non-Linear Mechanics, 138 Article 103848. ISSN 0020-7462 (2022) [Refereed Article]


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DOI: doi:10.1016/j.ijnonlinmec.2021.103848

Abstract

The work presented here revisits the classical bifurcation problem for an axially compressed thin elastic circular cylinder when the nonlinear pre-buckling bending deformations are taken into account. Suitable scaling arguments and singular perturbation methods enable us to explore the link with the more widely studied classical cases in which the uniform membrane solution was used for describing the basic state. Our novel theoretical results are confirmed by direct numerical simulations of the full boundary-value problems corresponding to the relevant buckling scenarios.

Item Details

Item Type:Refereed Article
Keywords:cylindrical shells; boundary layers; nonlinear bending
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:154906
Year Published:2022
Deposited By:Mathematics
Deposited On:2023-01-18
Last Modified:2023-01-19
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