Extension or compression induced twisting in fiber-reinforced nonlinearly elastic circular cylinders

DOI10.1007/S10659-016-9571-8zbMath1348.74050OpenAlexW2338648527MaRDI QIDQ331964

Jeremiah G. Murphy, Cornelius O. Horgan

Publication date: 27 October 2016

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-016-9571-8

zbMATH Keywords

helically wound fibersincompressible fiber-reinforced transversely isotropic nonlinearly elastic materialsinduced twistingmagic anglepure extension or compression of solid circular cylinders

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55)

Related Items (4)

Magic angles for fibrous incompressible elastic materials ⋮ Effect of intrinsic twist and orthotropy on extension-twist-inflation coupling in compressible circular tubes ⋮ Unusual extension–torsion–inflation couplings in pressurized thin circular tubes with helical anisotropy ⋮ Incompressible transversely isotropic hyperelastic materials and their linearized counterparts

Cites Work

• Unnamed Item
• At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
• On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues
• Dominant negative Poynting effect in simple shearing of soft tissues
• Torsional swelling of a hyperelastic tube with helically wound reinforcement
• Transversely isotropic biological, soft tissue must be modelled using both anisotropic invariants
• Reverse Poynting effects in the torsion of soft biomaterials
• Large elastic deformations of isotropic materials X. Reinforcement by inextensible cords
• Various issues raised by the mechanics of an octopus’s arm
• Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes

This page was built for publication: Extension or compression induced twisting in fiber-reinforced nonlinearly elastic circular cylinders