A theory of network alteration for the Mullins effect

By G. Marckmann, E. Verron, L. Gornet, Gregory Chagnon, P. Charrier, P. Fort. 2002

344 citations recorded by the source corpus.

This paper reports on the development of a new network alteration theory to describe the Mullins effect. The stress-softening phenomenon that occurs in rubber-like materials during cyclic loading is analysed from a physical point of view. The Mullins effect is considered to be a consequence of the breakage of links inside the material. Both filler-matrix and chain interaction links are involved in the phenomenon. This new alteration theory is implemented by modifying the eight-chains constitutive equation of Arruda and Boyce (J. Mech. Phys. Solids 41 (2) (1993) 389). In the present method the parameters of the eight-chains model, denoted C-R and N in the bibliography, become functions of the maximum chain stretch ratio. The accuracy of the resulting constitutive equation is demonstrated on cyclic uniaxial experiments for both natural rubbers and synthetic elastomers.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/777bbbb01c4d9d16e245e299de9545fb8295ce2f

How researchers see this paper

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

In Atomic and Molecular Physics, and Optics

1. Mikhail Itskov
2. Roozbeh Dargazany
3. L. Anand
4. Xuanhe Zhao

In Biomedical Engineering

1. Mikhail Itskov
2. Roozbeh Dargazany
3. L. Anand
4. Shaoting Lin
5. Xuanhe Zhao
6. E. Verron
7. J. Diani
8. M. Brieu

In Polymers and Plastics

1. Xuanhe Zhao
2. Shaoting Lin
3. Yunwei Mao
4. L. Anand
5. J. Diani
6. Roozbeh Dargazany
7. Mikhail Itskov

Citations in the corpus

• On the relevance of Continuum Damage Mechanics as applied to the Mullins effect in elastomers (2004, background): “Physically, this discrepancy can be explained by considering the evolution of the network and the breaking of di)erent links in it, as recently proposed by Marckmann et al. (2002).”
• A network evolution model for the anisotropic Mullins effect in carbon black filled rubbers (2009, background): “All in all, one can assume that the total number of active segments remains constant (see, e.g., Marckmann et al., 2002).”
• A large deformation viscoelastic model for double-network hydrogels (2017, methodology): “Numerous models have been proposed to model such stretch-softening of elastomeric materials (cf., e.g., Marckmann et al., 2002; Qi and Boyce, 2004; Chagnon et al., 2006; Cho et al., 2013, and the references to the literature in these papers).”
• A damage directional constitutive model for Mullins effect with permanent set and induced anisotropy (2006, background): “The strain energy   F W defined by (12) is now combined with the damage theory of Marckmann et al. (2002).”