Critical scaling near jamming transition for frictional granular particles

TL;DR

This paper investigates the critical rheology of sheared frictional granular materials near jamming, confirming the existence of true and fictitious critical densities and revealing hysteresis behavior and the applicability of frictionless scaling laws.

Contribution

It identifies true and fictitious critical densities for frictional jamming and explores their scaling laws and hysteresis, extending understanding of granular rheology near jamming.

Findings

Existence of a true critical density for yield stress onset

Presence of hysteresis loop between fictitious critical densities

Frictionless jamming scaling laws remain valid for frictional cases

Abstract

The critical rheology of sheared frictional granular materials near jamming transition is numer- ically investigated. It is confirmed that there exist a true critical density which characterizes the onset of the yield stress, and two fictitious critical densities which characterize the scaling laws of rheological properties. We find the existence of a hysteresis loop between two of the critical densities for each friction coefficient. It is noteworthy that the critical scaling law for frictionless jamming transition seems to be still valid even for frictional jamming despite using fictitious critical density values.