Numerical deflation of beach balls with various Poisson's ratios: from sphere to bowl's shape

We present a numerical study of the shape taken by a spherical elastic surface when the volume it encloses is decreased. For the range of 2D parameters where such surface may modelize a thin shell of an isotropic elastic material, the mode of deformation that develops a single depression is investigated in detail. It first occurs via buckling from sphere toward an axisymmetric dimple, followed by a second buckling where the depression loses its axisymmetry, by folding along portions of meridians. We could exhibit unifying master curves for the relative volume variation at which first and second buckling occur, and clarify the role of the Poisson's ratio. After the second buckling, the number of folds and inner pressure are investigated, allowing to infer shell features from mere observation and/or knowledge of external constraints.

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Source https://hal.science/hal-00641894
Author Quilliet, Catherine
Maintainer CCSD
Last Updated May 16, 2026, 16:44 (UTC)
Created May 16, 2026, 16:44 (UTC)
Identifier hal-00641894
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Interdisciplinaire de Physique [Saint Martin d’Hères] (LIPhy) ; Université Joseph Fourier - Grenoble 1 (UJF)-Centre National de la Recherche Scientifique (CNRS)
creator Quilliet, Catherine
date 2011-10-19T00:00:00
harvest_object_id d55223eb-106e-4895-8cb7-c3cc15568df0
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-09-27T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1111.4127
set_spec type:UNDEFINED