A new constitutive equation for elastoviscoplastic fluid flows

Pierre Saramito 1, 2, 3
2 EDP - Equations aux Dérivées Partielles
LJK - Laboratoire Jean Kuntzmann
3 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, UJF - Université Joseph Fourier - Grenoble 1, INPG - Institut National Polytechnique de Grenoble , CNRS - Centre National de la Recherche Scientifique : UMR5227
Abstract : From a thermodynamic theory, a new model for elastoviscoplastic fluid flow is presented. It extends the Bingham viscoplastic model and the Oldroyd viscoelastic model. Fundamental flows are studied: simple shear flow, uniaxial elongation and large amplitude oscillatory shear. The complex moduli (G',G'') are founded to be in qualitative agreement with experimental data for materials that present microscopic network structures and large scale rearrangements. Various fluids of practical interest, such as liquid foams, droplet emulsions or blood, present such elastoviscoplastic behavior: at low stress, the material behaves as a viscoelastic solid, whereas at stresses above a yield stress, the material behaves as a fluid.
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Submitted on : Monday, April 2, 2007 - 2:12:21 PM
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Pierre Saramito. A new constitutive equation for elastoviscoplastic fluid flows. Journal of Non-Newtonian Fluid Mechanics, Elsevier, 2007, 145 (1), pp.1-14. ⟨10.1016/j.jnnfm.2007.04.004⟩. ⟨hal-00109101v3⟩

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