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A new two-phase model for concentrated suspensions is derived that incorporates a constitutive law combining the rheology for non-Brownian suspension and granular flow. The resulting model exhibits a yield-stress behavior for the solid…

Fluid Dynamics · Physics 2019-04-10 Tobias Ahnert , Andreas Münch , Barbara Wagner

We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

Predicting the rheology of dense suspensions under inhomogeneous flow is crucial in many industrial and geophysical applications, yet the conventional `$\mu(J)$' framework is limited to homogeneous conditions in which the shear rate and…

Soft Condensed Matter · Physics 2023-08-17 Bhanu Prasad Bhowmik , Christopher Ness

Based on discrete element method simulations, we propose a new form of the constitution equation for granular flows independent of packing fraction. Rescaling the stress ratio $\mu$ by a power of dimensionless temperature $\Theta$ makes the…

Soft Condensed Matter · Physics 2020-08-26 Seongmin Kim , Ken Kamrin

Morphogenesis depends crucially on the complex rheological properties of cell tissues and on their ability to maintain mechanical integrity while rearranging at long times. In this paper, we study the rheology of polygonal cellular networks…

Soft Condensed Matter · Physics 2021-03-31 Charlie Duclut , Joris Paijmans , Mandar M. Inamdar , Carl D. Modes , Frank Jülicher

We establish that the rheological curve of dry granular media is non-monotonic, both in the presence and absence of external mechanical agitations. In the presence of weak vibrations, the non-monotonic flow curves govern a hysteretic…

Soft Condensed Matter · Physics 2015-05-28 J. A. Dijksman , G. H. Wortel , L. T. H. van Dellen , O. Dauchot , M. van Hecke

We describe experiments that probe the evolution of shear jammed states, occurring for packing fractions $\phi_S \leq \phi \leq \phi_J$, for frictional granular disks, where above $\phi_J$ there are no stress-free static states. We use a…

Soft Condensed Matter · Physics 2015-06-05 Jie Ren , Joshua A. Dijksman , Robert P. Behringer

The rheology of dense granular shear flows is influenced by friction and particle shape. We investigate numerically the impact of non-spherical particle geometries under shear on packing fraction, stress ratios, velocity fluctuations, force…

Soft Condensed Matter · Physics 2025-11-04 Jacopo Bilotto , Martin Trulsson , Jean-François Molinari

The question when and how dense granular materials start to flow under stress, despite many industrial and geophysical applications, remains largely unresolved. We develop and test a simple equation for the onset of quasi-static flows of…

Soft Condensed Matter · Physics 2023-03-29 Kasra Farain , Daniel Bonn

Materials such as foams, concentrated emulsions, dense suspensions or colloidal gels, are yield stress fluids. Their steady flow behavior, characterized by standard rheometric techniques, is usually modeled by a Herschel-Bulkley law. The…

Soft Condensed Matter · Physics 2012-09-20 Guillaume Ovarlez , Sylvie Cohen-Addad , Kapil Krishan , Julie Goyon , Philippe Coussot

The non-stretching approximation of polymer rheology simplifies a constitutive equation but fundamentally changes its behavior in fast flows, and the circumstances under which fast flows emerge cannot always be predicted a-priori. In this…

Soft Condensed Matter · Physics 2024-10-25 Vickie Chen , Brandon Wang , Joseph D. Peterson

We study the emergence of a yield stress in dense suspensions of non-Brownian particles, by combining local velocity and concentration measurements using Magnetic Resonance Imaging with macroscopic rheometric experiments. We show that the…

Soft Condensed Matter · Physics 2015-05-13 Abdoulaye Fall , Francois Bertrand , Guillaume Ovarlez , Daniel Bonn

We study the rheology of a granular material slowly driven in a confined geometry. The motion is characterized by a steady sliding with a resistance force increasing with the driving velocity and the surrounding relative humidity. For lower…

Condensed Matter · Physics 2016-08-16 Guillaume Ovarlez , Evelyne Kolb , Eric Clément

Non-Newtonian fluid flow might be driven by spatially nonlocal velocity, the dynamics of which can be described by promising fractional derivative models. This short communication proposes a space FrActional-order Constitutive Equation…

Fluid Dynamics · Physics 2016-12-13 HongGuang Sun , Yong Zhang , Song Wei , Jianting Zhu

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

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

We use particle simulations to map comprehensively the shear rheology of dry and wet granular matter comprising particles of finite stiffness, in both fixed pressure and fixed volume protocols. At fixed pressure we find non-monotonic…

Soft Condensed Matter · Physics 2025-01-22 Christopher Ness , Suzanne M. Fielding

Flow behavior of a single-component yield stress fluid is addressed on the hydrodynamic level. A basic ingredient of the model is a coupling between fluctuations of density and velocity gradient via a Herschel-Bulkley-type constitutive…

Soft Condensed Matter · Physics 2018-06-07 Markus Gross , Fathollah Varnik

Dense suspensions of particles dispersed in liquids are central to industrial and geophysical processes and serve as model systems for out-of-equilibrium soft matter. At high particle concentrations, they exhibit stress-dependent rheology,…

Soft Condensed Matter · Physics 2026-03-16 Orhun Ayar , Bhargav Sriram Siddani , Ishan Srivastava , Abhinendra Singh

Yield-stress fluids are ubiquitous and encountered in diverse fields ranging from natural muddy flows to industrial applications such as secondary battery electrode slurries and direct ink writing. Despite the proposal of various…

Fluid Dynamics · Physics 2026-05-20 Jehyeok Choi , Ju Min Kim , Kwang Soo Cho