Necking of a hyperelastic solid cylinder under axial stretching: evaluation of the infinite-length approximation

DOI10.1016/j.ijengsci.2020.103432OpenAlexW3111682237MaRDI QIDQ1995267

Mi Wang, Yibin Fu

Publication date: 23 February 2021

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2020.103432

zbMATH Keywords

stabilitybifurcationnonlinear analysishyperelasticitylocalized necking

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Partial differential equations (35-XX)

Related Items

Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching, An analytic derivation of the bifurcation conditions for localization in hyperelastic tubes and sheets, Hidden ring crack in a rotating hollow cylinder under torsion, Influence of nonlinear spatial distribution of stress and strain on solving problems of solid mechanics

Uses Software

• Mathematica

Cites Work

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• Post-bifurcation analysis of a thin-walled hyperelastic tube under inflation
• Necking and drawing in polymeric fibers under tension
• On constructing the analytical solutions for localizations in a slender cylinder composed of an incompressible hyperelastic material
• A gradient approach to localization of deformation. I. Hyperelastic materials
• Existence and stability of necking deformations for nonlinearly elastic rods
• Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems
• Equilibrium of bars
• Bifurcation phenomena in the plane tension test
• Shear and necking instabilities in nonlinear elasticity
• A numerical study of necking in the plane tension test
• A theory of necking in semi-crystalline polymers
• Nonlinear stability analysis of pre-stressed elastic bodies.
• Asymptotic analysis of stability for prismatic solids under axial loads
• Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness
• Post-bifurcation equilibria in the plane-strain test of a hyperelastic rectangular block
• On constructing the unique solution for the necking in a hyperelastic rod
• Necking of a bar
• On the definition of elastic moduli
• A numerical study of necking in circular cylindrical bars
• Nonuniqueness of equilibrium states for bars in tension
• Nonlinear Elasticity
• Elliptic-Spline Solutions for Large Localizations in a Circular Blatz–Ko Cylinder Due to Geometric Softening
• A nonlinear analysis of instability of a pre-stressed incompressible elastic plate