An elastic,plastic, viscous model for slow shear of a liquid foam |
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Authors: | P Marmottant F Graner |
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Institution: | (1) Laboratoire de Spectrométrie Physique, UMR5588 CNRS-Université Grenoble I, B.P. 87, F-38402 St Martin d'Hères Cedex, France |
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Abstract: | We suggest a scalar model for deformation and flow of an amorphous material such as a foam or an emulsion. To describe elastic,
plastic and viscous behaviours, we use three scalar variables: elastic deformation, plastic deformation rate and total deformation
rate; and three material-specific parameters: shear modulus, yield deformation and viscosity. We obtain equations valid for
different types of deformations and flows slower than the relaxation rate towards mechanical equilibrium. In particular, they
are valid both in transient or steady flow regimes, even at large elastic deformation. We discuss why viscosity can be relevant
even in this slow shear (often called “quasi-static”) limit. Predictions of the storage and loss moduli agree with the experimental
literature, and explain with simple arguments the non-linear large amplitude trends. |
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Keywords: | 83 60 Df Nonlinear viscoelasticity 83 60 La Viscoplasticity yield stress 83 80 Iz Emulsions and foams |
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