Oval cylindrical shells under asymmetric bending: a singular-perturbation solution

DOI10.1007/s00033-018-1014-xzbMath1401.74197OpenAlexW2890191905MaRDI QIDQ1990637

Ciprian D. Coman

Publication date: 25 October 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-018-1014-x

zbMATH Keywords

boundary layerswrinklingthin-walled shellslocalised deformationsoval cylinders

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Shells (74K25) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

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Cites Work

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• On interactive buckling in a sandwich structure
• The shape of the ideal column
• Collapse of cylindrical, elastic tubes under combined bending, pressure and axial loads
• Bifurcation instabilities in finite bending of circular cylindrical shells
• Asymptotic approximations for pure bending of thin cylindrical shells
• Stresses in Short Noncircular Cylindrical Shells Under Lateral Pressure
• Localized elastic buckling: non-linearities versus inhomogeneities
• Finite pure bending of circular cylindrical tubes
• Buckling of oval cylindrical shells under compression and asymmetricbending