Phenomenological isotropic visco-hyperelasticity: a differential model based on fractional derivatives
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Publication:525462
DOI10.1007/s10665-015-9818-6zbMath1360.74015OpenAlexW2286099171MaRDI QIDQ525462
Hocine Bechir, Fabrice Brémand, Safia Bouzidi
Publication date: 4 May 2017
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-015-9818-6
Nonlinear constitutive equations for materials with memory (74D10) Theory of constitutive functions in solid mechanics (74A20)
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Cites Work
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- Comparison of results from four linear constitutive relations in isotropic finite elasticity
- On a critique of a numerical scheme for the calculation of fractionally damped dynamical systems
- On the application of dual variables in continuum mechanics
- Fractals and fractional calculus in continuum mechanics
- A nonlinear viscoelastic model: The pseudo-linear model
- A theory of finite viscoelasticity and numerical aspects
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Linear constitutive relations in isotropic finite elasticity
- Formulation and integration of the standard linear viscoelastic solid with fractional order rate laws
- Time dependent large principal deformation of polymers
- Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. II: History type solids
- Formulation and implementation of three-dimensional viscoelasticity at small and finite strains
- Fractional differential models in finite viscoelasticity
- A new viscoelastic constitutive model for continuous media at finite thermomechanical changes
- A model for crystal plasticity based on micro-slip descriptors
- Finite deformations of a carbon black-filled rubber. Experiment, optical measurement and material parameter identification using finite elements
- Fractional derivative viscoelasticity at large deformations
- On the dynamic behaviour of polymers under finite strains: Constitutive modelling and identification of parameters
- Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation
- Discussion of finite deformation viscoelasticity laws with reference to torsion loading
- A two-phase self-consistent model for the deformation and phase transformation behavior of polymers above the glass transition temperature: application to PET
- Computational algorithms for FE formulations involving fractional operators
- Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
- A micromechanically motivated material model for the thermo-viscoelastic material behaviour of rubber-like polymers.
- Visco-hyperelastic model with internal state variable coupled with discontinuous damage concept under total Lagrangian formulation.
- A micro-mechanical model for the response of filled elastomers at finite strains.
- On finite linear viscoelasticity of incompressible isotropic materials
- Three-dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximation
- Amplitude dependence of filler-reinforced rubber: experiments, constitutive modelling and FEM - implementation
- Linear constitutive relations in isotropic finite viscoelasticity
- Thixotropic behaviour of rubber under dynamic loading histories: experiments and theory.
- Constitutive modeling of the large strain time-dependent behavior of elastomers.
- Integral-based constitutive equation for rubber at high strain rates
- Observation and modeling of the anisotropic visco-hyperelastic behavior of a rubberlike material
- A non-linear integral representation for viscoelastic behaviour
- Nonlinear Viscoelastic Solids—A Review
- Foundations of Linear Viscoelasticity
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- Nonlinear Constitutive Laws in Viscoelasticity
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- An adaptation of finite linear viscoelasticity theory for rubber-like viscoelasticity by use of a generalized strain measure
- An Existence Theorem for Slightly Compressible Materials in Nonlinear Elasticity
- A Nonlinear Theory of Viscoelasticity for Application to Elastomers
- On the theory of the viscoelastic behavior of soft polymers in moderately large deformations
- Viscoelastic Model of Finitely Deforming Rubber and Its Finite Element Analysis
- Numerical finite element formulation of the Schapery non-linear viscoelastic material model
- On the Fractional Calculus Model of Viscoelastic Behavior
- A Study of Stress Relaxation with Finite Strain
- Viscoplasticity of elastomeric materials: Experimental facts and constitutive modelling
- Parameter estimation of hyperelasticity relations of generalized polynomial-type with constraint conditions
