Shear induced rigidity in athermal materials: a unified statistical framework
arXiv:1404.0049 · doi:10.1103/PhysRevE.91.042201
Abstract
Recent studies of athermal systems such as dry grains and dense, non-Brownian suspensions have shown that shear can lead to solidification through the process of shear jamming in grains and discontinuous shear thickening in suspensions. The similarities observed between these two distinct phenomena suggest that the physical processes leading to shear-induced rigidity in athermal materials are universal. We present a non-equilibrium statistical mechanics model, which exhibits the phenomenology of these shear-driven transitions: shear jamming and discontinuous shear thickening in different regions of the predicted phase diagram. Our analysis identifies the crucial physical processes underlying shear-driven rigidity transitions, and clarifies the distinct roles played by shearing forces and the density of grains.
Comments welcome
References in corpus (17)
- Dynamics of Viscoplastic Deformation in Amorphous Solids
- Crackling Noise
- Jamming, Force Chains and Fragile Matter
- Discontinuous Shear Thickening of Frictional Hard-Sphere Suspensions
- Shear thickening in concentrated suspensions: phenomenology, mechanisms, and relations to jamming
- Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions
- Discontinuous shear thickening without inertia in dense non-Brownian suspensions
- Scaling description of the yielding transition in soft amorphous solids at zero temperature
- Shear thickening of cornstarch suspensions as a re-entrant jamming transition
- Microscopic mechanism for the shear-thickening of non-Brownian suspensions
- Shear thickening and migration in granular suspensions
- Shear thickening in granular suspensions: inter-particle friction and dynamically correlated clusters
- Yield stress and shear-banding in granular suspensions
- Reynolds Pressure and Relaxation in a Sheared Granular System
- Experimental Measures of Affine and Non-affine Deformation in Granular Shear
- Shear dilatancy in marginal solids
- Origin of Rigidity in Dry Granular Solids
Cited by in corpus (12)
- Shear jamming and fragility in dense suspensions
- Shear jammed, fragile, and steady states in homogeneously strained granular materials
- A review on shear jamming
- Shear-induced rigidity of frictional particles: Analysis of emergent order in stress space
- Ultra-stable shear jammed granular material
- Jamming transition in non-spherical particle systems: pentagons vs. disks
- Absence of first order transition in the random crystal field Blume-Capel model on a fully connected graph
- Friction-induced Shear thickening: a microscopic perspective
- Sheared Amorphous Packings Display Two Separate Particle Transport Mechanisms
- Timescale divergence at the shear jamming transition
- Hysteresis and return point memory in the random field Blume Capel model
- Discontinuity in the distribution of field increments between avalanches in non-abelian random field Blume-Emery-Griffiths model with no passing violation