Depressions at the surface of an elastic spherical shell submitted to external pressure
Catherine Quilliet
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.
Create a lesson
Related papers
Nonparametric multiscale modeling of boundary lubrication: hexadecane in highly pressurized gold asperity contacts
Hannes Holey, Michael Moseler, Peter Gumbsch et al.
Asymmetric Ions in Solution are Similar to Active Brownian Particles
Setare Mostajabi Sarhangi, Dmitry V. Matyushov
Influence of twist direction and large deformation on soft material torsional contact
Yucai Hu, Pengfei Li, Michele Ciavarella et al.
Phase transitions and microphases in elastomers. II. Anisotropy-driven morphologies
Manu Mannattil, David Andelman, Haim Diamant
Comparing non-local granular fluid continuum models for silo discharge: Toward clogging prediction
Y. Zhou, Y. Wang, M. Li et al.
Residual semi-crystalline particles released during enzymatic degradation of plastics
Michael Schindler, Ludwik Leibler