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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 |
| Downloads: | 0 |
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