Comparison of Hyperelastic Models for Rubber-Like Materials

By G. Marckmann, E. Verron. 2006

673 citations recorded by the source corpus.

The present paper proposes a thorough comparison of twenty hyperelastic models for rubber-like materials. The ability of these models to reproduce different types of loading conditions is analyzed thanks to two classical sets of experimental data. Both material parameters and the stretch range of validity of each model are determined by an efficient fitting procedure. Then, a ranking of these twenty models is established, highlighting new efficient constitutive equations that could advantageously replace well-known models, which are widely used by engineers for finite element simulation of rubber parts.

Subfields: Biomedical Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/1a6e3b99153620dc80b9ab1fea0b39a4fe89c1ce

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Zhigang Suo
2. Xuanhe Zhao
3. Wei Hong
4. Zishun Liu
5. T. Y. Ng
6. W. Toh
7. Ivonne Sgura
8. Michel Destrade

In Mechanical Engineering

1. Zhigang Suo
2. T. Y. Ng
3. W. Toh
4. Zishun Liu
5. Xuanhe Zhao
6. Wei Hong
7. Michel Destrade
8. Giuseppe Saccomandi

Citations in the corpus

• A review of constitutive models for rubber-like materials (2010, background): “where, Cij are material parameter and C00 = 0 (Markmann and Verron, 2006).”
• A theory of coupled diffusion and large deformation in polymeric gels (2008, background): “Other forms of the free energy of stretching are available and may be used to fit experimental data (see reviews by Boyce and Arruda, 2000; Marckmann and Verron, 2006; Horkay and McKenna, 2007). kT 2008-1-16 13 When the long polymers are not cross-linked, the long polymers and the small…”
• A network evolution model for the anisotropic Mullins effect in carbon black filled rubbers (2009, background): “In spite of this simplification, some of these models show good agreements with experimental data on the isotropic behavior (see, e.g., Marckmann and Verron, 2006).”
• Methodical fitting for mathematical models of rubber-like materials (2016, background): “Boyce & Arruda [1], Marckmann & Verron [2], Beda [3].”
• Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book (2012, background): “Again we refer to Mardal and Winther (2011) and references therein, for an overview and more comprehensive mathematical derivation of the construction of such preconditioners.”
• Advances in Mechanics of Soft Materials: A Review of Large Deformation Behavior of Hydrogels (2015, background): “Many forms for this free energy of rubber hyperelasticity exists [Anand, 1996; Arruda and Boyce, 1993; Boyce and Arruda, 2000; Flory and Rehner, 1943; Lopez-Pamies, 2010; Marckmann and Verron, 2006; Valanis and Landel, 1967].”