Granular flow: Friction and the dilatancy transition

Abstract
Molecular-dynamics simulations of noncohesive granular assemblies under shear are described. At low shear rate γ̇, the assembly is unstable to uniform motion and exhibits stick-slip dynamics involving periodic dilatancy transitions and gravitational compactification. Steady-state motion occurs at larger γ̇ where 6–12 layers of grains flow over a compact, static assembly. A phase boundary, characterized by a discontinuity in γ̇ and an enhanced normal stress, separates the static and flowing regions. In the steady-state regime, dilatancy leads to a shear stress that is independent of γ̇.

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