Buckling of a spinning elastic cylinder: linear, weakly nonlinear and post-buckling analyses

DOI10.1098/rspa.2018.0242zbMath1404.74053OpenAlexW2889387284WikidataQ59923643 ScholiaQ59923643MaRDI QIDQ4646927

Aditi Chakrabarti, Franck Richard, Yves Pomeau, Serge Mora, Basile Audoly

Publication date: 28 December 2018

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

Full work available at URL: https://doi.org/10.1098/rspa.2018.0242

zbMATH Keywords

asymptotic analysisbeams and columnsstability and bifurcation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (2)

Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness ⋮ Synchronous whirling of spinning homogeneous elastic cylinders: linear and weakly nonlinear analyses

Uses Software

• FEniCS

Cites Work

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• BIFURCATION OF FINITELY DEFORMED ROTATING ELASTIC CYLINDERS
• Ellipsoidal figures of equilibrium—an historical account
• Imperfection Sensitivity of Externally Pressurized Spherical Shells
• Large elastic deformations of isotropic materials IV. further developments of the general theory
• W. T. Koiter’s Elastic Stability of Solids and Structures

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