Viscoelastic models with consistent hypoelasticity for fluids undergoing finite deformations

Guillaume Altmeyer (1) , Emmanuelle Rouhaud (1) , Benoît Panicaud (1) , Arjen Roos (1) , Richard Kerner (2) , Mingchuan Wang (1)

1 LASMIS - Laboratoire des Systèmes Mécaniques et d'Ingénierie Simultanée
2 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

Constitutive models of viscoelastic fluids are written with rate-form equations when considering finite deformations. Trying to extend the approach used to model these effects from an infinitesimal deformation to a finite transformation framework, one has to ensure that the tensors and their rates are indifferent with respect to the change of observer and to the superposition with rigid body motions. Frame-indifference problems can be solved with the use of an objective stress transport, but the choice of such an operator is not obvious and the use of certain transports usually leads to physically inconsistent formulation of hypoelasticity. The aim of this paper is to present a consistent formulation of hypoelasticity and to combine it with a viscosity model to construct a consistent viscoelastic model. In particular, the hypoelastic model is reversible.

Domains: Engineering Sciences [physics]; Mechanics [physics.med-ph]; Mechanics of materials [physics.class-ph]

Guillaume Altmeyer, Emmanuelle Rouhaud, Benoît Panicaud, Arjen Roos, Richard Kerner, et al.. Viscoelastic models with consistent hypoelasticity for fluids undergoing finite deformations. Mechanics of Time-Dependent Materials, 2015, 19 (3), pp.375-395. ⟨10.1007/s11043-015-9269-5⟩. ⟨hal-02283372⟩