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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
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:109980
Year Published:2016
Deposited By:Mathematics and Physics
Deposited On:2016-07-11
Last Modified:2017-01-30
Downloads:0

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