On Extension and Torsion of a Compressible Elastic Circular Cylinder

DOI10.1177/108128028476zbMath1045.74013OpenAlexW2021330666MaRDI QIDQ4470154

Ray W. Ogden, Eleftherios Kirkinis

Publication date: 22 June 2004

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/108128028476

zbMATH Keywords

strain-energy function

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (6)

Inflation, extension and torsion analysis of compressible functionally graded hyperelastic tubes ⋮ Extension, inflation and torsion of a residually stressed circular cylindrical tube ⋮ Hill's class of compressible elastic materials and finite bending problems: exact solutions in unified form ⋮ On poro-hyperelastic torsion ⋮ Unusual extension–torsion–inflation couplings in pressurized thin circular tubes with helical anisotropy ⋮ Finite torsion of compressible circular cylinders: an approximate solution

Cites Work

• Unnamed Item
• Finite strain solutions in compressible isotropic elasticity
• Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material
• A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy
• Nearly isochoric finite torsion of a compressible isotropic elastic circular cylinder
• Finite torsion of slightly compressible rubberlike circular cylinders
• Finite strain solutions for a compressible elastic solid
• Inflation and Bifurcation of Thick-Walled Compressible Elastic Spherical Shells
• Pure torsion of compressible non-linearly elastic circular cylinders
• On azimuthal shear of a circular cylindrical tube of compressible elastic material
• CIRCULAR SHEARING OF COMPRESSIBLE ELASTIC CYLINDERS
• On compressible materials capable of sustaining axisymmetric shear deformations. III. Helical shear of isotropic hyperelastic materials
• Large elastic deformations of isotropic materials IV. further developments of the general theory
• Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure
• Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
• Finite elastic deformation of compressible isotropic bodies
• Deformations Possible in Every compressible, Isotropic, Perfectly Elastic Material
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

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