On a molecular statistical basis for Ogden's model of rubber elasticity
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Publication:340030
DOI10.1016/J.JMPS.2015.02.006zbMath1349.82168OpenAlexW2054286166MaRDI QIDQ340030
Publication date: 11 November 2016
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmps.2015.02.006
statistical mechanicshyperelasticityrubber-like materialsinverse Langevin functionOgden's modelpolymer networks
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Cites Work
- Unnamed Item
- Unnamed Item
- Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar's data
- 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
- A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber
- An 8-chain model for rubber-like materials accounting for non-affine chain deformations and topological constraints
- On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers
- Convexity conditions and existence theorems in nonlinear elasticity
- A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber.
- Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility.
- A molecular-statistical basis for the Gent constitutive model of rubber elasticity
- An average-stretch full-network model for rubber elasticity
- An elementary molecular-statistical basis for the Mooney and Rivlin-Saunders theories of rubber elasticity
- McLaren's improved snub cube and other new spherical designs in three dimensions
- Fitting hyperelastic models to experimental data
- 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
- A non-Gaussian theory for rubber in biaxial strain. I. Mechanical properties
- Numerical integration on the sphere and its effect on the material symmetry of constitutive equations-A comparative study
- On Constitutive Models for Limited Elastic, Molecular Based Materials
- Efficient Numerical Integration on the Surface of a Sphere
- The theory of rubber elasticity
- The mechanics of rubber elasticity
- The deformation of rubber cylinders and tubes by rotation
- Isotropy of Strain Energy Functions Which Depend Only on a Finite Number of Directional Strain Measures
- A pseudo–elastic model for the Mullins effect in filled rubber
- Non-linear optimization of the material constants in Ogden's stress-deformation function for incompressinle isotropic elastic materials
- A Full-Network Rubber Elasticity Model based on Analytical Integration
- Statistical mechanics with topological constraints: II
- Constitutive inequalities for isotropic elastic solids under 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
- Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
- Direct methods in the calculus of variations
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