A theory of network alteration for the Mullins effect

Abstract : 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.
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Gilles Marckmann, Erwan Verron, Laurent Gornet, Grégory Chagnon, Pierre Charrier, et al.. A theory of network alteration for the Mullins effect. Journal of the Mechanics and Physics of Solids, Elsevier, 2002, 50 (9), pp.2011-2028. ⟨10.1016/S0022-5096(01)00136-3⟩. ⟨hal-01004954⟩

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