Disk wrinkling under gravity
Soft Condensed Matter
2021-09-01 v3
Abstract
We study the deflection by gravity of a circular elastic disk deposited on a rigid support. The axisymmetric deflection induces a compressive orthoradial stresses which leads to a wrinkling instability above a critical threshold of the dimensionless gravity force. We study this instability by a combination of experiments, numerical simulations and analytical tools, with a particular focus on the role of geometry. We show that aspect ratio is a crucial parameter that controls both the threshold of instability and the most unstable mode. The influence of this parameter on the threshold can be catched by introducing a new nondimensionalization of the transverse load.
Cite
@article{arxiv.2012.00537,
title = {Disk wrinkling under gravity},
author = {Gwenn Boedec and Julien Deschamps},
journal= {arXiv preprint arXiv:2012.00537},
year = {2021}
}