Theory and identification of a constitutive model of induced anisotropy by the Mullins effect

Guilherme Machado 1 Grégory Chagnon 1 Denis Favier 1
1 TIMC-IMAG-BioMMat - Ingénierie Biomédicale et Mécanique des Matériaux
TIMC-IMAG - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
Abstract : Rubber-like materials present a stress softening phenomenon after a first loading known as the Mullins effect. Some recent experimental data on filled silicone rubber is presented in literature, using uniaxial and biaxial tests to precondition samples thus induce some primary stress softening. A generic modeling based on the polymer network decomposition into an isotropic hyperelastic one, and a stress-softening evolution one, is proposed taking into account the contribution of many spatial directions. A new stress softening criterion tensor is built by means of a tensor that measures the repartition of energy in space. A general form of the stress softening function associated to a spatial direction is written by the way of two variables: one, the maximal eigenvalue of the energy tensor; the other, the energy in the considered direction. Finally, a particular form of constitutive equation is proposed. The model is fitted and compared to experimental data. The capacities of such modeling are finally discussed.
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Guilherme Machado, Grégory Chagnon, Denis Favier. Theory and identification of a constitutive model of induced anisotropy by the Mullins effect. Journal of the Mechanics and Physics of Solids, Elsevier, 2014, 63, pp.29-39. ⟨10.1016/j.jmps.2013.10.008⟩. ⟨hal-00958608⟩

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