Article Dans Une Revue Mechanics of Time-Dependent Materials Année : 2012

Large strain rate-dependent response of elastomers at different strain rates: convolution integral vs. internal variable formulations

Résumé

Two different viscoelastic frameworks adapted to large strain rate-dependent response of elastomers are compared; for each approach, a simple model is derived. Within the Finite Linear Viscoelasticity theory, a time convolution integral model based on an extension to solid of the K-BKZ model is proposed. Considering the multiplicative split of the deformation gradient into elastic and inelastic parts, an internal variable model based on a large strain version of the Standard Linear Solid model is considered. In both cases, the strain energy functions involved are chosen neo-Hookean, and then each model possesses three material parameters: two stiffnesses and a viscosity parameter. These parameters are set to ensure the equivalence of the model responses for uniaxial large strain quasi-static and infinitely fast loading conditions, and for uniaxial rate-dependent small strain loading conditions. Considering their responses for different Eulerian strain rates, their differences are investigated with respect to the strain rate; more specifically, both stiffness and dissipative properties are studied. The comparison reveals that these two models differ significantly for intermediate strain rates, and a closing discussion highlights some issues about their foundations and numerical considerations.

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hal-01007008 , version 1 (16-06-2014)

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Jean-Christophe Petiteau, Erwan Verron, Ramzi Othman, Herve Le Sourne, Jean-François Sigrist, et al.. Large strain rate-dependent response of elastomers at different strain rates: convolution integral vs. internal variable formulations. Mechanics of Time-Dependent Materials, 2012, 17 (3), pp.349-367. ⟨10.1007/s11043-012-9188-7⟩. ⟨hal-01007008⟩
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