Applying GSH to a Wide Range of Experiments in Granular Media

TL;DR

This paper demonstrates that granular solid hydrodynamics (GSH) effectively models a wide array of phenomena in granular media, offering a unifying continuum-mechanical framework for understanding diverse experimental observations.

Contribution

The paper extends GSH to encompass various granular phenomena, establishing it as a comprehensive unifying theory for granular media behavior.

Findings

GSH models static stress distribution and clogging.

GSH explains elasto-plastic motion and critical state.

GSH accounts for rapid dense flow and shear band phenomena.

Abstract

Granular solid hydrodynamics (GSH) is a continuum-mechanical theory for granular media, the range of which is shown in this paper. Simple, frequently analytic solutions are related to classic observations at different shear rates, including: (i)~static stress distribution, clogging; (ii)~elasto-plastic motion: loading and unloading, approach to the critical state, angle of stability and repose; (iii)~rapid dense flow: the $\mu$-rheology, Bagnold scaling and the stress minimum; (iv)~elastic waves, compaction, wide and narrow shear band. Less conventional experiments have also been considered: shear jamming, creep flow, visco-elastic behavior and nonlocal fluidization. With all these phenomena ordered, related, explained and accounted for, though frequently qualitatively, we believe that GSH may be taken as a unifying framework, providing the appropriate macroscopic vocabulary and mindset that help one coming to terms with the breadth of granular physics.