Depressions at the surface of an elastic spherical shell submitted to external pressure
Soft Condensed Matter
2009-05-14 v2
Abstract
Elasticity theory calculations predict the number N of depressions that appear at the surface of a spherical thin shell submitted to an external isotropic pressure. In a model that mainly considers curvature deformations, we show that N only depends on the relative volume variation. Equilibrium configurations show single depression (N=1) for small volume variations, then N increases up to 6, before decreasing more abruptly due to steric constraints, down to N=1 again for maximal volume variations. These predictions are consistent with previously published experimental observations.
Keywords
Cite
@article{arxiv.cond-mat/0603736,
title = {Depressions at the surface of an elastic spherical shell submitted to external pressure},
author = {Catherine Quilliet},
journal= {arXiv preprint arXiv:cond-mat/0603736},
year = {2009}
}