New compressible hyper-elastic models for rubberlike materials

DOI10.1007/S00707-015-1475-3zbMath1328.74018OpenAlexW2254098028MaRDI QIDQ904976

Lu Yuan, Zhi-Xiang Gu, Zheng-Nan Yin, Heng Xiao

Publication date: 14 January 2016

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-015-1475-3

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (4)

Large elastic deformations of soft solids up to failure: new hyperelastic models with error estimation ⋮ Representations for implicit constitutive relations describing non-dissipative response of isotropic materials ⋮ Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill's linear isotropic hyperelastic material models ⋮ Modified Yeoh model with improved equibiaxial loading predictions

Cites Work

• Unnamed Item
• Multiscale mechanics of macromolecular materials with unfolding domains
• A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
• Constitutive equations for amended non-Gaussian network models of rubber elasticity
• Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials
• Explicit dual stress-strain and strain-stress relations of incompressible isotropic hyperelastic solids via deviatoric Hencky strain and Cauchy stress
• Direct determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolation
• Thermodynamic laws and consistent Eulerian formulation of finite elastoplasticity with thermal effects
• On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers
• Volume changes associated with the deformation of rubber-like solids
• Nearly isochoric elastic deformations: Application to rubberlike solids
• The simple tension problem at large volumetric strains computed from finite hyperelastic material laws
• Logarithmic strain, logarithmic spin and logarithmic rate
• Hencky's logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity
• A molecular-statistical basis for the Gent constitutive model of rubber elasticity
• An elementary molecular-statistical basis for the Mooney and Rivlin-Saunders theories of rubber elasticity
• Theory and thermohyperelasticity for near-incompressible elastomers
• Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate.
• Elastic potentials with best approximation to rubberlike elasticity
• A model for rubberlike elasticity up to failure
• 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
• Ogden-type constitutive equations in finite elasticity of elastomers
• Elastoplasticity beyond small deformations
• Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility
• The choice of objective rates in finite elastoplasticity: general results on the uniqueness of the logarithmic rate
• Bounded elastic potentials for rubberlike materials with strain-stiffening effects
• On worm-like chain models within the three-dimensional continuum mechanics framework
• On Constitutive Models for Limited Elastic, Molecular Based Materials
• The Poisson Function of Finite Elasticity
• The mechanics of rubber elasticity
• On constitutive macro-variables for heterogeneous solids at finite strain
• Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
• Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
• Strain energy functions for a Poisson power law function in simple tension of compressible hyperelastic materials

This page was built for publication: New compressible hyper-elastic models for rubberlike materials