Nonlinear dynamics of spherical shells buckling under step pressure

DOI10.1098/rspa.2018.0884zbMath1427.74051arXiv1812.06526OpenAlexW2904966269WikidataQ90102984 ScholiaQ90102984MaRDI QIDQ4973940

J. M. T. Thompson, Jan Sieber, John W. Hutchinson

Publication date: 6 December 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06526

zbMATH Keywords

nonlinear dynamicsdynamic bucklingspherical shellsimperfection-sensitivity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Shells (74K25)

Related Items (3)

A Bracing Nonlinear Walk in Applied Mechanics: Memoirs and Reflections ⋮ Hamiltonian pitchfork bifurcation in transition across index-1 saddles ⋮ Instabilities of Nonconservative Fluid-Loaded Systems

Uses Software

• COCO

Cites Work

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• Nonlinear buckling behaviour of spherical shells: barriers and symmetry-breaking dimples
• Recipes for Continuation
• The Elastic Cylindrical Shell Under Nearly Uniform Radial Impulse
• Buckling of spherical shells revisited
• Dynamic Analysis of the Buckling of Laterally Loaded Flat Arches

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