Limiting chain extensibility constitutive models of Valanis-Landel type

DOI10.1007/s10659-006-9085-xzbMath1106.74014OpenAlexW2016054565MaRDI QIDQ868697

Jeremiah G. Murphy, Cornelius O. Horgan

Publication date: 6 March 2007

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

Full work available at URL: https://doi.org/10.1007/s10659-006-9085-x

zbMATH Keywords

Cauchy-Green tensorstrain-energy densityGent model

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (12)

Inhomogeneous shearing of strain-stiffening rubber-like hollow circular cylinders ⋮ A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity ⋮ An explicit, direct approach to obtain multi-axial elastic potentials which accurately match data of four benchmark tests for rubbery materials. II: general deformations ⋮ An explicit, direct approach to obtaining multiaxial elastic potentials that exactly match data of four benchmark tests for rubbery materials. I: Incompressible deformations ⋮ Large isotropic elastic deformations: on a \textit{comprehensive} model to correlate the theory and experiments for incompressible rubber-like materials ⋮ Large elastic deformations of soft solids up to failure: new hyperelastic models with error estimation ⋮ Elastic potentials with best approximation to rubberlike elasticity ⋮ Bounded elastic potentials for rubberlike materials with strain-stiffening effects ⋮ Direct determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolation ⋮ On extension and torsion of strain-stiffening rubber-like elastic circular cylinders ⋮ Plane strain bending of strain-stiffening rubber-like rectangular beams ⋮ A model for rubberlike elasticity up to failure

Cites Work

• Unnamed Item
• Unnamed Item
• The Valanis-Landel strain-energy function
• Ordinary and strong ellipticity in the equilibrium theory of incompressible hyperelastic solids
• Constitutive modeling and the trousers test for fracture of rubber-like materials
• Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility
• Void nucleation and growth for a class of incompressible nonlinearly elastic materials
• The relation between the Valanis-Landel and classical strain-energy functions
• Finite thermoelasticity with limiting chain extensibility
• A molecular-statistical basis for the Gent constitutive model of rubber elasticity
• Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility
• Pure axial shear of isotropic, incompressible nonlinearly elastic materials with limiting chain extensibility
• Large Deformations of a Rotating Solid Cylinder for Non-Gaussian Isotropic, Incompressible Hyperelastic Materials
• Some Remarks on Kinematic Modeling of Limiting Chain Extensibility
• Constitutive Modelling of Rubber-Like and Biological Materials with Limiting Chain Extensibility
• Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials

This page was built for publication: Limiting chain extensibility constitutive models of Valanis-Landel type