Helical buckling of thick-walled, pre-stressed, cylindrical tubes under a finite torsion

DOI10.1177/1081286514550570zbMath1327.74063OpenAlexW2169975206MaRDI QIDQ3453618

V. Balbi, Pasquale Ciarletta

Publication date: 27 November 2015

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

Full work available at URL: https://doi.org/10.1177/1081286514550570

zbMATH Keywords

residual stresseselastic stabilityStroh formulationfinite torsionsurface impedance method

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)

Related Items (3)

Effect of torsion on the initiation of localized bulging in a hyperelastic tube of arbitrary thickness ⋮ Stress‐modulated growth in the presence of nutrients—Existence and uniqueness in one spatial dimension ⋮ Morphomechanical Model of the Torsional C-Looping in the Embryonic Heart

Cites Work

• Unnamed Item
• Pattern formation in fiber-reinforced tubular tissues: folding and segmentation during epithelial growth
• Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions
• On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability
• Bending instabilities of soft biological tissues
• On the residual stress possible in an elastic body with material symmetry
• Torsional buckling of an elastic thick-walled tube made of rubber-like material
• Bifurcation of a solid circular elastic cylinder under finite extension and torsion
• Dynamically possible motions of incompressible, isotropic, simple materials
• Deformations possible in every isotropic, incompressible, perfectly elastic body
• Wave Impedance Matrices for Cylindrically Anisotropic Radially Inhomogeneous Elastic Solids
• The Stability of a Circular Cylinder Under Finite Extension and Torsion
• Hamiltonian interpretation of the Stroh formalism in anisotropic elasticity
• Steady State Problems in Anisotropic Elasticity
• COMBINED AXIAL AND TORSIONAL SHEAR OF A TUBE OF INCOMPRESSIBLE ISOTROPIC ELASTIC MATERIAL
• 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

This page was built for publication: Helical buckling of thick-walled, pre-stressed, cylindrical tubes under a finite torsion