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

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.