Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials
arXiv:2105.02288 · doi:10.1039/D1SM00659B
Abstract
The jamming transition in granular materials is well-known for exhibiting hysteresis, wherein the level of shear stress required to trigger flow is larger than that below which flow stops. Although such behavior is typically modeled as a simple non-monotonic flow rule, the rheology of granular materials is also nonlocal due to cooperativity at the grain scale, leading for instance to increased strengthening of the flow threshold as system size is reduced. We investigate how these two effects - hysteresis and nonlocality - couple with each other by incorporating non-monotonicity of the flow rule into the nonlocal granular fluidity (NGF) model, a nonlocal constitutive model for granular flows. By artificially tuning the strength of nonlocal diffusion, we demonstrate that both ingredients are key to explaining certain features of the hysteretic transition between flow and arrest. Finally, we assess the ability of the NGF model to quantitatively predict material behavior both around the transition and in the flowing regime, through stress-driven discrete element method (DEM) simulations of flow onset and arrest in various geometries. Along the way, we develop a new methodology to compare deterministic model predictions with the stochastic behavior exhibited by the DEM simulations around the jamming transition.
arXiv comment17 pages, 9 figures
References in corpus (34)
- On dense granular flows
- Plasmofluidic Single-Molecule Surface Enhanced Raman Scattering from Dynamic Assembly of Plasmonic Nanoparticles
- Rheophysics of dense granular materials : Discrete simulation of plane shear flows
- Granular flow down an inclined plane: Bagnold scaling and rheology
- Friction law for dense granular flows: application to the motion of a mass down a rough inclined plane
- A kinetic theory of plastic flow in soft glassy materials
- Shear Banding of Complex Fluids
- Long surface wave instability in dense granular flows
- A non-local rheology for granular flows across yield conditions
- Granular Avalanches in Fluids
- Granular flow down a rough inclined plane: transition between thin and thick piles
- Effects of Non-local Stress on the Determination of Shear Banding Flow
- Slow flows of yield stress fluids: complex spatio-temporal behaviour within a simple elasto-plastic model
- Continuum theory of partially fluidized granular flows
- Annular shear of cohesionless granular materials: from inertial to quasistatic regime
- Critical scaling near jamming transition for frictional granular particles
- Jamming, Yielding and Rheology of Weakly Vibrated Granular Media
- A Microscopic Description of the Granular Fluidity Field in Nonlocal Flow Modeling
- Quasistatic rheology and the origins of strain
- Power-law scaling in granular rheology across flow geometries
- Partially fluidized shear granular flows: Continuum theory and MD simulations
- Monodisperse Dry Granular Flows on Inclined Planes : Role of Roughness
- Jamming phase diagram for frictional particles
- Continuum modeling of mechanically-induced creep in dense granular materials
- Friction law and hysteresis in granular materials
- Effective Wall Friction in Wall-Bounded 3D Dense Granular Flows
- Crossover from negative to positive shear rate dependence in granular friction
- Scaling Laws for the Slip Velocity in Dense Granular Flows
- Critical scaling near the yielding transition in granular media
- Onset and cessation of motion in hydrodynamically sheared granular beds
- Flow-Arrest Transitions in Frictional Granular Matter
- Variable-cell method for stress-controlled jamming of athermal, frictionless grains
- Viscometric flow of dense granular materials under controlled pressure and shear stress
- Rheology of dense granular flows in two dimensions: Comparison of fully two-dimensional flows to unidirectional shear flow