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We introduce a nonlinear generalized tensorial Maxwell-type constitutive equation to describe shear-thinning glass-forming fluids, motivated by a recent microscopic approach to the nonlinear rheology of colloidal suspensions. The model…

Soft Condensed Matter · Physics 2015-06-17 Simon Papenkort , Thomas Voigtmann

We investigate in detail the problem of confined pressure-driven laminar flow of neutrally buoyant non-Brownian suspensions using a frictional rheology based on the recent proposal of Boyer et al., 2011. The friction coefficient and solid…

Soft Condensed Matter · Physics 2015-06-22 Brice Lecampion , Dmitry I. Garagash

Discrete particle simulations are used to study the shear rheology of dense, stabilized, frictional particulate suspensions in a viscous liquid, toward development of a constitutive model for steady shear flows at arbitrary stress. These…

Soft Condensed Matter · Physics 2018-02-14 Abhinendra Singh , Romain Mari , Morton M. Denn , Jeffrey F. Morris

Rheological properties, especially 'shear-thinning', of dense colloidal dispersions are discussed on three different levels. A generalized phenomonological Maxwell model gives a broad framework connecting glassy dynamics to the linear and…

Soft Condensed Matter · Physics 2007-05-23 Matthias Fuchs , Matthias Ballauff

Based on a modified expression of the rate of the convective constraint release, we present a new contour-variable model of constitutive equations in which the non-uniform segmental stretch and the non-Gaussian chain statistical treatment…

Fluid Dynamics · Physics 2009-08-03 Shuanhu Qi , Shuang Yang , Dadong Yan

We develop a statistical framework for the rheology of dense, non-Brownian suspensions, based on correlations in a space representing forces, which is dual to position space. Working with the ensemble of steady state configurations obtained…

Soft Condensed Matter · Physics 2018-09-25 Jetin E. Thomas , Kabir Ramola , Abhinendra Singh , Romain Mari , Jeffrey Morris , Bulbul Chakraborty

We study granular suspensions under a variety of extensional deformations and simple shear using numerical simulations. The viscosity and Trouton's ratio (the ratio of extensional to shear viscosity) are computed as functions of solids…

Soft Condensed Matter · Physics 2018-04-24 Oliver Cheal , Christopher Ness

Results of the idealized mode-coupling theory for the structural relaxation in suspensions of hard-sphere colloidal particles are presented and discussed with regard to recent light scattering experiments. The structural relaxation becomes…

Soft Condensed Matter · Physics 2009-10-31 M. Fuchs , M. R. Mayr

In the vicinity of their glass transition, dense colloidal suspensions acquire elastic properties over experimental timescales. We investigate the possibility of a visco-elastic flow instability in curved geometry for such materials. To…

Soft Condensed Matter · Physics 2015-08-21 Alexandre Nicolas , Matthias Fuchs

Yielding of amorphous glasses and gels is a mechanically driven transformation of a material from the solid to liquid state on the experimental timescale. It is a ubiquitous fundamental problem of nonequilibrium physics of high importance…

Soft Condensed Matter · Physics 2025-03-11 Anoop Mutneja , Kenneth S. Schweizer

Yield stress fluids display a rich rheological phenomenology. Beyond the defining existence of a yield stress in the steady state flow curve, this includes in many materials rather flat viscoelastic spectra over many decades of frequency in…

Soft Condensed Matter · Physics 2020-04-22 Suzanne M. Fielding

Dense suspensions of soft colloidal particles display a broad range of physical and rheological properties which are still far from being fully understood. To elucidate the role of deformability on colloidal flow, we employ computer…

Soft Condensed Matter · Physics 2018-08-31 M. Foglino , A. N. Morozov , D. Marenduzzo

The shear rheology of dense colloidal and granular suspensions is strongly nonlinear, as these materials exhibit shear-thinning and shear-thickening, depending on multiple physical parameters. We numerically study the rheology of a simple…

Soft Condensed Matter · Physics 2014-07-31 Takeshi Kawasaki , Atsushi Ikeda , Ludovic Berthier

We derive from particle-level dynamics a constitutive model describing the rheology of two-dimensional dense soft suspensions below the jamming transition, in a regime where hydrodynamic interactions between particles are screened. Based on…

Soft Condensed Matter · Physics 2026-01-08 N. Cuny , E. Bertin , R. Mari

Many colloidal systems display very non-Newtonian and solid-like behaviour when concentrated, a striking feature being the apparition of a yield stress. After recalling some basics about the interactions between colloidal particles, I…

Soft Condensed Matter · Physics 2007-05-23 Armand Ajdari

In this paper, we introduce a simple mode-coupling model for concentrated suspensions under flow . This model exhibits a jamming transition, and stress vs shear rate relations which are very similar to experimental results. Namely newtonian…

Soft Condensed Matter · Physics 2009-10-31 P. Hebraud , F. Lequeux

Constitutive equations are developed for a polymer fluid, which is treated as a permanent network of strands bridged by junctions. The junctions are assumed to slide with respect to their reference positions under loading. Governing…

Materials Science · Physics 2007-05-23 A. D. Drozdov , R. K. Gupta

We systematically investigated the impact of boundary confinement on the shear-thickening rheology of dense granular suspensions. Under highly confined conditions, dense suspensions were found to exhibit size-dependent or even rarely…

Soft Condensed Matter · Physics 2024-10-10 Haitao Hu , Yiqiu Zhao , Weiwei Zhao , Ligen Qiao , Qin Xu

We consider a suspension of non-interacting flat elastic particles in a Newtonian fluid. We model a flat shape as three beads, carried along by the flow according to Stokes' law, and connected by nonlinear springs, chosen such that the…

Fluid Dynamics · Physics 2024-02-14 Jens Eggers , Tanniemola B. Liverpool , Alexander Mietke

We theoretically investigate general properties of driven (sheared) colloidal suspensions in confinement, based on methods of classical density functional theory. In the absence of an exact closed (Smoluchowski-) equation for the…

Statistical Mechanics · Physics 2015-06-18 Artem A. Aerov , Matthias Krüger