We extend a recent theory for the rheology of frictionless granular materials  to the case of frictional disks in two dimensions. Employing a frictional contact model for molecular dynamics simulations, we derive difference equations of the shear stress, the granular temperature, and the spin temperature from the generalized Green-Kubo formula, where all the terms are given by microscopic expressions. The numerical solutions of the difference equations not only describe the flow curve, but also reproduce the hysteresis of shear stress, which can be the signature of discontinuous shear thickening of frictional disks.
|Journal||EPJ Web of Conferences|
|Publication status||Published - 2017 Jun 30|
|Event||8th International Conference on Micromechanics on Granular Media, Powders and Grains 2017 - Montpellier, France|
Duration: 2017 Jul 3 → 2017 Jul 7
ASJC Scopus subject areas
- Physics and Astronomy(all)