Depressions at the surface of an elastic spherical shell submitted to external pressure

Details Depressions at the surface of an elastic spherical shell submitted to external pressure Depressions at the surface of an elastic spherical shell submitted to external pressure

2006-03-28

arxiv.org/abs/cond-mat/0603736v2

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 74, 4 (2006) 046608

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.74.046608

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.

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