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Singularities and wrinkling: The case of a concentrated force
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.
History
Publication title
International Journal of Engineering ScienceVolume
106Pagination
229-244ISSN
0020-7225Department/School
School of Natural SciencesPublisher
ElsevierPlace of publication
The NetherlandsRights statement
©2016 Elsevier Ltd. All rights reserved.Repository Status
- Restricted