Numerical deflation of beach balls with various Poisson's ratios: from sphere to bowl's shape
type: Dataset
description: 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.
issued: 2026-05-16T16:44:40.469678
language: en
modified: 2026-05-16T16:44:40.469684
contact point: Organization
  fn: CCSD
keyword: 8270uv-6220-x
keyword: auxetic-materials
keyword: axisymmetric-buckling
keyword: bending-modulus
keyword: buckling
keyword: capsules
keyword: colloidal-shells
keyword: curvature
keyword: elastic-surfaces
keyword: elasticity
keyword: extreme-deformations
keyword: folds
keyword: gaussian-curvature
keyword: in-plane-compressibility
keyword: infoeu-reposemanticspreprint
keyword: physcondcm-scmphysics-physicscondensed-matter-cond-matsoft-condensed-matter-cond-matsoft
keyword: polygonal-indentation
keyword: preprints-working-papers-
keyword: spherical-shells
keyword: stretch-modulus
keyword: thin-plate
keyword: thin-shells
landing page: https://hal.science/hal-00641894

Numerical deflation of beach balls with various Poisson's ratios: from sphere to bowl's shape
type: Distribution
format: HTML
issued: 2026-05-16T16:44:40.678386
modified: 2026-05-16T16:44:40.414488
access URL: https://hal.science/hal-00641894

test_moissonnage_selune
type: Agent