Direct determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolation
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Publication:738068
DOI10.1007/s00161-013-0297-6zbMath1343.74051OpenAlexW2053433430MaRDI QIDQ738068
Hao Li, Zheng-Nan Yin, Xiao-Ming Wang, Yu-Yu Zhang, Heng Xiao
Publication date: 15 August 2016
Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00161-013-0297-6
invariantslogarithmic strainrational interpolationelastomersaccurate matchingbenchmark testselastic potentialsstrain limit
Classical linear elasticity (74B05) Spectral and related methods applied to problems in solid mechanics (74S25)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
- Explicit dual stress-strain and strain-stress relations of incompressible isotropic hyperelastic solids via deviatoric Hencky strain and Cauchy stress
- Limiting chain extensibility constitutive models of Valanis-Landel type
- Polymer networks with slip-links. I: Constitutive equations for an uncross-linked network
- Polymer networks with slip-links. II: Constitutive equations for a cross-linked network
- Combining the logarithmic strain and the full-network model for a better understanding of the hyperelastic behavior of rubber-like materials
- A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues
- Hencky's logarithmic strain and dual stress-strain and strain-stress relations in isotropic finite hyperelasticity
- Basic issues concerning finite strain measures and isotropic stress-deformation relations
- Rivlin's representation formula is ill-conceived for the determination of response functions via biaxial testing
- Nonlinear material parameter estimation for characterizing hyperelastic large strain models
- Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials.
- An explicit, direct approach to obtaining multiaxial elastic potentials that exactly match data of four benchmark tests for rubbery materials. I: Incompressible deformations
- Fitting hyperelastic models to experimental data
- Ogden-type constitutive equations in finite elasticity of elastomers
- Elastoplasticity beyond small deformations
- On constitutive inequalities for simple materials. I
- A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity
- Nonlinear Elasticity
- A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
- On Constitutive Models for Limited Elastic, Molecular Based Materials
- Aspects of Invariance in Solid Mechanics
- The mechanics of rubber elasticity
- On H. Hencky’s Approximate Strain-Energy Function for Moderate Deformations
- Non-linear optimization of the material constants in Ogden's stress-deformation function for incompressinle isotropic elastic materials
- On constitutive macro-variables for heterogeneous solids at finite strain
- An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity
- Parameter estimation of hyperelasticity relations of generalized polynomial-type with constraint conditions
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