Bending of inflated curved hyperelastic tubes

DOI10.1002/zamm.201800093OpenAlexW2942430590WikidataQ105069345 ScholiaQ105069345MaRDI QIDQ6145894

Unnamed Author, Alexander V. Popov, Alexey M. Kolesnikov

Publication date: 9 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201800093

zbMATH Keywords

elasticbendinginflationnonlinearcurved tubemembrane

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Numerical and other methods in solid mechanics (74Sxx) Elastic materials (74Bxx)

Cites Work

• The finite bending of curved pipes
• Bifurcation of inflated circular cylinders of elastic material under axial loading - I. Membrane theory for thin-walled tubes
• Theoretical flexural response of a pressurized cylindrical membrane
• Wrinkling of inflated elastic cylindrical membranes under flexure
• Wrinkling of cylindrical membranes with non-uniform thickness
• Large bending deformations of a cylindrical membrane with internal pressure
• Nonlinear Elastic Shell Theory
• The Relaxed Energy Density for Isotropic Elastic Membranes
• Finite pure bending of curved pipes
• Tension-field theory
• Bending rigidity of an inflated circular cylindrical membrane of rubbery materials.
• The finite inflation of a curved elastic tube
• Nonlinear pure bending of toroidal shells of arbitrary cross-section
• The effect of inflating pressure on the finite pure bending of hyperelastic tubes
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