Granular Solid Hydrodynamics (GSH): from Quasi-Static Motion to Rapid Dense Flow

TL;DR

GSH is a comprehensive continuum theory that models a wide range of granular phenomena from static to rapid dense flows, unifying various behaviors within a single framework.

Contribution

It introduces a unified continuum model, GSH, capable of describing static, slow, and rapid dense granular flows, bridging multiple existing models.

Findings

GSH accurately describes static stress and elastic wave propagation.

It captures slow shear behaviors like critical state and shear band formation.

It models rapid dense flows consistent with the Bagnold regime.

Abstract

{\sc gsh} is a continuum mechanical theory constructed to qualitatively account for a broad range of granular phenomena. To probe and demonstrate its width, simple solutions of {\sc gsh} are related to granular phenomena and constitutive models, including (i) for vanishing shear rates: static stress distribution and propagation of elastic waves; (ii) at slow rates: critical state, shear band, the models of hypoplasticity and barodesy; (iii) at higher rates: the MIDI-model, rapid dense flow in the Bagnold regime. A unified, densely correlated understanding of granular physics emerges as a result of these phenomena ordered and explained employing a single framework.