A finite strain thermo-viscoelastic constitutive model to describe the self-heating in elastomeric materials during low-cycle fatigue

Abstract : A thermo-visco-hyperelastic constitutive model, in accordance with the second thermodynamics principle, is formulated to describe the self-heating evolution in elastomeric materials under cyclic loading. The mechanical part of the model is based upon a Zener rheological representation in which the specific free energy potential is dependent on an added internal variable, allowing the description of the time-dependent mechanical response. The large strain mechanical behavior is described using a Langevin spring, while the continuous stress-softening under cyclic loading is taken into account by means of a network alteration kinetics. The thermo-mechanical coupling is defined by postulating the existence of a dissipation pseudo-potential, function of the viscous dilatation tensor. The proposed model is fully three-dimensional and is implemented into a finite element code. The model parameters are identified using experimental data obtained on a styrene-butadiene rubber under a given strain rate for different strain conditions. Predicted evolutions given by the model for other strain rates are found in good agreement with the experimental data.
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https://hal.archives-ouvertes.fr/hal-00941557
Contributor : Marie-Christine Nodot <>
Submitted on : Tuesday, February 4, 2014 - 9:22:35 AM
Last modification on : Friday, July 26, 2019 - 9:22:02 AM

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Cristian Manuel Ovalle Rodas, Fahmi Zaïri, Moussa Nait-Abdelaziz. A finite strain thermo-viscoelastic constitutive model to describe the self-heating in elastomeric materials during low-cycle fatigue. Journal of the Mechanics and Physics of Solids, Elsevier, 2014, 64, pp.396-410. ⟨10.1016/j.jmps.2013.10.010⟩. ⟨hal-00941557⟩

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