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Singularities and wrinkling: The case of a concentrated force
Citation
Coman, CD and Bassom, AP, Singularities and wrinkling: The case of a concentrated force, International Journal of Engineering Science, 106 pp. 229-244. ISSN 0020-7225 (2016) [Refereed Article]
Copyright Statement
©2016 Elsevier Ltd. All rights reserved.
DOI: doi:10.1016/j.ijengsci.2016.06.005
Abstract
The edge wrinkling of a uniformly stretched circular elastic plate subjected to a central concentrated load is considered within the framework of the Föppl–von Kármán nonlinear plate theory. Singular perturbation methods are employed to obtain a three-term asymptotic formula for the critical load in terms of a non-dimensional quantity that depends on the initial pre-stress. Comparisons between the analytical predictions and direct numerical simulations of the full bifurcation eigenproblem provide further insight into the accuracy and limitations of the derived results.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | thin films, singularities, Föppl-von Kármán plate equations, asymptotic methods |
| 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: | 109980 |
| Year Published: | 2016 |
| Web of Science® Times Cited: | 4 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2016-07-11 |
| Last Modified: | 2017-11-01 |
| Downloads: | 0 |
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