Shear jamming, discontinuous shear thickening, and fragile states in dry granular materials under oscillatory shear

Abstract

We numerically study the linear response of two-dimensional frictional granular materials under oscillatory shear. The storage modulus $G^{\prime }$ and the loss modulus $G^{\prime \prime }$ in the zero strain rate limit depend on the initial strain amplitude of the oscillatory shear before measurement. The shear jammed state (satisfying $G^{\prime }>0$) can be observed at an amplitude greater than a critical initial strain amplitude. The fragile state is defined by the emergence of liquid-like and solid-like states depending on the form of the initial shear. In this state, the observed $G^{\prime }$ after the reduction of the strain amplitude depends on the phase of the external shear strain. The loss modulus $G^{\prime \prime }$ exhibits a discontinuous jump corresponding to discontinuous shear thickening in the fragile state.

References in corpus (21)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Unified study of glass and jamming rheology in soft particle systems
• Microfluidic rheology of soft colloids above and below jamming
• Macroscopic Discontinuous Shear Thickening vs Local Shear Jamming in Cornstarch
• Unified Theory of Inertial Granular Flows and Non-Brownian Suspensions
• Scaling properties of granular rheology near the jamming transition
• Critical Scaling of Shearing Rheology at the Jamming Transition of Soft Core Frictionless Disks
• Shear yielding and shear jamming of dense hard sphere glasses
• Shear jamming and fragility in dense suspensions
• Diverging viscosity and soft granular rheology in non-Brownian suspensions
• Shear jammed, fragile, and steady states in homogeneously strained granular materials
• Thinning or thickening? Multiple rheological regimes in dense suspensions of soft particles
• Microscopic origin of frictional rheology in dense suspensions: correlations in force space
• Universal scaling for the jamming transition
• Discontinuous shear-thickening in Brownian suspensions
• Criticality and Scaling Relations in a Sheared Granular Material
• Behavior of pressure and viscosity at high densities for two-dimensional hard and soft granular materials
• Stress anisotropy in shear-jammed packings of frictionless disks
• Simulation of dense non-Brownian suspensions with the lattice Boltzmann method: Shear jammed and fragile states
• Particle rearrangement and softening contributions to the nonlinear mechanical response of glasses
• Characterizing the Nature of the Yielding Transition

Cited by in corpus (18)

• Shear jamming and fragility in dense suspensions
• Multiple quantum Mpemba effect: exceptional points and oscillations
• Unified phase diagram of reversible-irreversible, jamming and yielding transitions in cyclically sheared soft sphere packings
• Soft Metamaterials: Adaptation and Intelligence
• Non-linear elasticity, yielding and entropy in amorphous solids
• Ultra-stable shear jammed granular material
• Scaling laws for frictional granular materials confined by constant pressure under oscillatory shear
• Shear hardening in frictionless amorphous solids near the jamming transition
• Jamming, Fragility and Pinning Phenomena in Superconducting Vortex Systems
• Shear modulus and reversible particle trajectories of frictional granular materials under oscillatory shear
• Evolution of shear zones in granular packings under pressure
• Rheology of a dilute binary mixture of inertial suspension under simple shear flow
• Rigidity transition of a highly compressible granular medium
• Microscopic Reversibility and Emergent Elasticity in Ultrastable Granular Systems
• Kinetic theory of discontinuous shear thickening of a moderately dense inertial suspension of frictionless soft particles
• Shear jamming and fragility in fractal suspensions under confinement
• Oscillatory shear flows of dense suspensions at imposed pressure: Rheology and micro-structure
• Dilatancy of frictional granular materials under oscillatory shear with constant pressure