The wrinkling of a uniformly stretched thin elastic plate subjected to a pressure acting perpendicular to its surface is re-visited. The problem is tackled under the assumption that the basic state can be adequately described by an appropriate nonlinear membrane analysis. That this simplification might be reasonable was suggested by recent related work in which numerical simulations showed that bending effects tend to be negligible for typical load levels that cause the initial axisymmetric deformation of the plate to bifurcate into an asymmetric mode. The effect of this seemingly unimportant change on the asymptotic description of the wrinkling instability is fully investigated here, and a direct quantitative assessment is made with earlier results in which the bending resistance of the axisymmetric deformation mode was accounted for.

Item Type:	Refereed Article
Keywords:	nonlinear membranes, singular boundary-value problems, wrinkling, 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:	109815
Year Published:	2016
Web of Science® Times Cited:	11
Deposited By:	Mathematics and Physics
Deposited On:	2016-07-04
Last Modified:	2017-11-01
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