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Linear stability of inviscid, parallel, and stably stratified shear flow is studied under the assumption of smooth strictly monotonic profiles of shear flow and density, so that the local Richardson number is positive everywhere. The…

Fluid Dynamics · Physics 2016-05-04 Makoto Hirota , Philip J. Morrison

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

The rheology of non-colloidal suspensions under cyclic shear is studied numerically. The main findings are a strain amplitude ($\gamma_0$) dependent response in the shear stress and second normal stress difference ($N_2$). Specifically, we…

Soft Condensed Matter · Physics 2023-01-06 Zhouyang Ge , Gwynn J. Elfring

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

We perform molecular dynamics simulations of homogeneous athermal systems of poly-disperse soft discs under shear. For purely repulsive interactions between particles, and under a confining external pressure, a monotonous flow curve (strain…

Soft Condensed Matter · Physics 2023-10-10 E. A. Jagla

Stress induced yielding/fluidization in disordered solids, characterized by irreversibility and enhanced dissipation, is important for a wide range of industrial and geological processes. Although, such phenomena in thermal systems have…

Soft Condensed Matter · Physics 2022-06-28 Sebanti Chattopadhyay , Sharadhi Nagaraja , Sayantan Majumdar

The effect of magnetic shear and shear flow on local gravitationally induced instabilities is investigated. A simple model is constructed allowing for an arbitrary entropy gradient and a shear plasma flow in the Boussinesq approximation. A…

Astrophysics · Physics 2009-11-06 Gregory G. Howes , Steven C. Cowley , James C. McWilliams

Laminar-turbulent pattern formation is a distinctive feature of the intermittency regime in subcritical plane shear flows. By performing extensive numerical simulations of the plane channel flow, we show that the pattern emerges from a…

Fluid Dynamics · Physics 2022-12-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

In recent work it was clarified that amorphous solids under strain control do not possess nonlinear elastic theory in the sense that the shear modulus exists but nonlinear moduli exhibit sample to sample fluctuations that grow without bound…

Soft Condensed Matter · Physics 2017-03-29 Vladimir Dailidonis , Valery Ilyin , Itamar Procaccia , Carmel A. B. Z. Shor

We study numerically the nonlinear dynamics of a shear banding interface in two dimensional planar shear flow, within the non-local Johnson Segalman model. Consistent with a recent linear stability analysis, we find that an initially flat…

Soft Condensed Matter · Physics 2009-11-11 Suzanne M. Fielding , Peter D. Olmsted

Rheology aims at quantifying the response of materials to mechanical forcing. However, standard rheometers provide only global macroscopic quantities, such as viscoelastic moduli. They fail to capture the heterogeneous flow of soft…

In this work, we investigate the transient rheological behavior of two soft glassy materials: a clay dispersion and a silica gel, emphasizing their unconventional shear stress build-up behavior under conditions of constant imposed strain.…

Soft Condensed Matter · Physics 2025-04-02 Vivek Kumar , Gareth H McKinley , Yogesh M Joshi

We perform molecular dynamics simulations to characterize the occurrence of inhomogeneous shear flows in soft jammed materials. We use rough walls to impose a simple shear flow and study the athermal motion of jammed assemblies of soft…

Soft Condensed Matter · Physics 2012-02-23 Pinaki Chaudhuri , Ludovic Berthier , Lydéric Bocquet

A linearly unstable, sinusoidal $E \times B$ shear flow is examined in the gyrokinetic framework in both the linear and nonlinear regimes. In the linear regime, it is shown that the eigenmode spectrum is nearly identical to hydrodynamic…

Plasma Physics · Physics 2019-03-27 A. E. Fraser , M. J. Pueschel , P. W. Terry , E. G. Zweibel

We analyze the stress tensor and the gyration tensor of an unentangled polymer melt under flow by using a Rouse-type single chain model. We employ the bead-spring type single chain model, in which beads interact each other via nonlinear…

Soft Condensed Matter · Physics 2025-06-30 Takashi Uneyama

Mechanical properties are of central importance to materials sciences, in particular if they depend on external stimuli. Here we investigate the rheological response of amorphous solids, namely col- loidal glasses, to external forces. Using…

Soft Condensed Matter · Physics 2015-07-13 T. Sentjabrskaja , P. Chaudhuri , M. Hermes , W. C. K. Poon , J. Horbach , S. U. Egelhaaf , M. Laurati

We present a minimal model for spatiotemporal oscillation and rheochaos in shear-thickening complex fluids at zero Reynolds number. In the model, a tendency towards inhomogeneous flows in the form of shear bands combines with a slow…

Soft Condensed Matter · Physics 2009-11-11 A. Aradian , M. E. Cates

In contrast to normal fluids, a granular fluid under shear supports a steady state with uniform temperature and density since the collisional cooling can compensate locally for viscous heating. It is shown that the hydrodynamic description…

Statistical Mechanics · Physics 2007-05-23 A. Santos , V. Garzo , J. W. Dufty

The dynamical mechanism at the origin of the non-local rheology of dense granular flows is investigated trough discrete element simulations. We show that the influence of a shear band on the mechanical behavior of a distant zone is…

Soft Condensed Matter · Physics 2014-05-12 M. Bouzid , M. Trulsson , P. Claudin , E. Clement , B. Andreotti

We investigate the steady uniform shear flow of a granular gas composed of inelastic and rough Maxwell particles. Exploiting the mean-field character of the model, we derive exact expressions for the collisional production rates of the…

Soft Condensed Matter · Physics 2026-02-27 Andrés Santos , Gilberto M. Kremer