An elastic, plastic, viscous model for slow shear of a liquid foam

by: P Marmottant, F Graner

The European Physical Journal E - Soft Matter, Vol. 23, No. 4. (2007), pp. 337-347.

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Abstract

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.

@article{citeulike:2685826, abstract = {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.}, author = {Marmottant, P. and Graner, F. }, citeulike-article-id = {2685826}, doi = {10.1140/epje/i2006-10193-x}, journal = {The European Physical Journal E - Soft Matter}, keywords = {2007, foam, shear, theory}, number = {4}, pages = {337--347}, posted-at = {2008-04-18 02:31:45}, priority = {2}, title = {An elastic, plastic, viscous model for slow shear of a liquid foam}, url = {http://dx.doi.org/10.1140/epje/i2006-10193-x}, volume = {23}, year = {2007} }

RIS record

TY - JOUR ID - citeulike:2685826 TI - An elastic, plastic, viscous model for slow shear of a liquid foam JF - The European Physical Journal E - Soft Matter VL - 23 IS - 4 SP - 337 EP - 347 N2 - 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. KW - 2007 KW - foam KW - shear KW - theory AU - Marmottant, P AU - Graner, F PY - 2007//13/ UR - http://dx.doi.org/10.1140/epje/i2006-10193-x ER -

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