Langlois VJ, Hutzler S and Weaire D, Rheological properties of the soft disk model of 2D foams, Physical Review E, 78, 2008, 021401 - 021408
Physical Review E; 78;
The soft-disk model previously developed and applied by Durian D. J. Durian, Phys. Rev. Lett. 75, 4780
1995 is brought to bear on problems of foam rheology of longstanding and current interest, using twodimensional
systems. The questions at issue include the origin of the Herschel-Bulkley relation, normal stress
effects dilatancy , and localization in the presence of wall drag. We show that even a model that incorporates
only linear viscous effects at the local level gives rise to nonlinear power-law dependence of the limit stress
on strain rate. With wall drag, shear localization is found. Its nonexponential form and the variation of
localization length with boundary velocity are well described by a continuum model in the spirit of Janiaud et
al. Phys. Rev. Lett. 97, 038302 2006 . Other results satisfactorily link localization to model parameters, and
hence tie together continuum and local descriptions.
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