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We develop a constitutive model allowing for the description of the rheology of two-dimensional soft dense suspensions above jamming. Starting from a statistical description of the particle dynamics, we derive, using a set of…

Soft Condensed Matter · Physics 2021-11-23 Nicolas Cuny , Romain Mari , Eric Bertin

Considering the rheology of two-dimensional soft suspensions above the jamming density, we derive a tensorial constitutive model from the microscopic particle dynamics. Starting from the equation governing the $N$-particle distribution, we…

Soft Condensed Matter · Physics 2022-03-15 Nicolas Cuny , Romain Mari , Eric Bertin

We recently developed a tensorial constitutive model for dense, shear-thickening particle suspensions that combines rate-independent microstructural evolution with a stress-dependent jamming threshold. This gives a good qualitative account…

Fluid Dynamics · Physics 2020-07-14 Jurriaan Gillissen , Christopher Ness , Joseph Peterson , Helen Wilson , Michael Cates

We develop a tensorial constitutive model for dense, shear-thickening particle suspensions subjected to time-dependent flow. Our model combines a recently proposed evolution equation for the suspension microstructure in rate-independent…

Simulations are used to study the steady shear rheology of dense suspensions of frictional particles exhibiting discontinuous shear thickening and shear jamming, in which finite-range cohesive interactions result in a yield stress. We…

Soft Condensed Matter · Physics 2019-03-13 Abhinendra Singh , Sidhant Pednekar , Jaehun Chun , Morton M. Denn , Jeffrey F. Morris

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

Shear flow of dense, non-Brownian suspensions is simulated using the discrete element method, taking particle contact and hydrodynamic lubrication into account. The resulting flow regimes are mapped in the parametric space of solid volume…

Soft Condensed Matter · Physics 2015-01-06 Christopher Ness , Jin Sun

Fine particle suspensions (such as cornstarch mixed with water) exhibit dramatic changes in viscosity when sheared, producing fascinating behaviors that captivate children and rheologists alike. Recent examination of these mixtures in…

Soft Condensed Matter · Physics 2022-06-08 Aaron Baumgarten , Ken Kamrin

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 explore the rheology predicted by a recently proposed constitutive model for jammed suspensions of soft elastic particles derived from particle-level dynamics [Cuny et al., Phys. Rev. Lett. 127, 218003 (2021)]. Our model predicts that…

Soft Condensed Matter · Physics 2022-01-06 Nicolas Cuny , Éric Bertin , Romain Mari

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 propose a constitutive model to predict the viscosity of fiber suspensions, which undergoes shear thinning, at various volume fractions, aspect ratios, and shear stresses/rates. We calibrate the model using the data from direct numerical…

Fluid Dynamics · Physics 2023-02-08 Monsurul Khan , Rishabh V. More , Arezoo M. Ardekani

We use large scale computer simulations and finite size scaling analysis to study the shear rheology of dense three-dimensional suspensions of frictionless non-Brownian particles in the vicinity of the jamming transition. We perform…

Soft Condensed Matter · Physics 2015-04-06 Takeshi Kawasaki , Daniele Coslovich , Atsushi Ikeda , Ludovic Berthier

A constitutive model is presented for brittle granular materials based on a recent reformulation of the breakage mechanics theory. Compared with previous breakage mechanics-based models, the proposed model is improved to capture strain…

Soft Condensed Matter · Physics 2019-02-21 M. B. Cil , R. C. Hurley , L. Graham-Brady

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

We investigate criticality near the jamming transition in both quiescent systems and those under shear by considering the effect of mechanical training on the jamming transition and nonlinear rheology. We simulate frictionless soft…

Soft Condensed Matter · Physics 2020-03-25 Takeshi Kawasaki , Kunimasa Miyazaki

The rheology of biological tissue is key to processes such as embryo development, wound healing and cancer metastasis. Vertex models of confluent tissue monolayers have uncovered a spontaneous liquid-solid transition tuned by cell shape;…

Soft Condensed Matter · Physics 2023-10-02 Suzanne M. Fielding , James O. Cochran , Junxiang Huang , Dapeng Bi , M. Cristina Marchetti

We propose a unifying rheological framework for dense suspensions of non-Brownian spheres, predicting the onsets of particle friction and particle inertia as distinct shear thickening mechanisms, while capturing quasistatic and soft…

Soft Condensed Matter · Physics 2015-11-13 Christopher Ness , Jin Sun

We introduce a class of simple models for shear thickening and/ or `jamming' in colloidal suspensions. These are based on schematic mode coupling theory (MCT) of the glass transition, having a memory term that depends on a density variable,…

Soft Condensed Matter · Physics 2015-06-24 C B Holmes , M E Cates , M Fuchs , P Sollich
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