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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2006

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

Résumé

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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Dates et versions

hal-00021522 , version 1 (27-03-2006)
hal-00021522 , version 2 (06-02-2008)

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Citer

Catherine Quilliet. Depressions at the surface of an elastic spherical shell submitted to external pressure.. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2006, 74 (4), pp.046608. ⟨10.1103/PhysRevE.74.046608⟩. ⟨hal-00021522v2⟩

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