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Singularities and wrinkling: The case of a concentrated force

journal contribution
posted on 2023-05-18, 20:41 authored by Coman, CD, Andrew BassomAndrew Bassom
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 Science

Volume

106

Pagination

229-244

ISSN

0020-7225

Department/School

School of Natural Sciences

Publisher

Elsevier

Place of publication

The Netherlands

Rights statement

©2016 Elsevier Ltd. All rights reserved.

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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