An elasto-visco-plastic model for immortal foams or emulsions |
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Authors: | S Bénito C -H Bruneau T Colin C Gay F Molino |
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Institution: | (1) 351 Cours de la Libération, Université Bordeaux 1, INRIA Futurs projet MC2 et IMB, F-33405 Talence cedex, France;(2) Centre de recherche Paul-Pascal-CNRS, UPR 8641, Université de Bordeaux 1, 115 Av. Schweitzer, F-33600 Pessac, France;(3) Department of Endocrinology, Institute of Functional Genomics, CNRS, UMR 5203, INSERM U661, Universities of Montpellier 1 and 2, 141 Rue de la Cardonille, F-34094 Montpellier Cedex 05, France |
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Abstract: | A variety of complex fluids consists in soft, round objects (foams, emulsions, assemblies of copolymer micelles or of multilamellar
vesicles--also known as onions). Their dense packing induces a slight deviation from their prefered circular or spherical
shape. As a frustrated assembly of interacting bodies, such a material evolves from one conformation to another through a
succession of discrete, topological events driven by finite external forces. As a result, the material exhibits a finite yield
threshold. The individual objects usually evolve spontaneously (colloidal diffusion, object coalescence, molecular diffusion),
and the material properties under low or vanishing stress may alter with time, a phenomenon known as aging. We neglect such
effects to address the simpler behaviour of (uncommon) immortal fluids: we construct a minimal, fully tensorial, rheological
model, equivalent to the (scalar) Bingham model. Importantly, the model consistently describes the ability of such soft materials
to deform substantially in the elastic regime (be it compressible or not) before they undergo (incompressible) plastic creep--or
viscous flow under even higher stresses. |
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Keywords: | 83 10 Gr Constitutive relations 83 80 Iz Emulsions and foams 83 50 Ax Steady shear flows viscometric flow 83 85 Lq Normal stress difference measurements |
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