A microscopic theory for discontinuous shear thickening of frictional granular materials
arXiv:1611.06030 · doi:10.1051/epjconf/201714003063
Abstract
We extend a recent theory for the rheology of frictionless granular materials [K. Suzuki and H. Hayakawa, Phys. Rev. Lett. 2015, 115, 098001] 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.
4 pages, 1 figure, the conference proceedings for Powders & Grains 2017
References in corpus (1)
Cited by in corpus (4)
- Kinetic theory of shear thickening for a moderately dense gas-solid suspension: from discontinuous thickening to continuous thickening
- Enskog kinetic theory of rheology for a moderately dense inertial suspension
- Shear banding, discontinuous shear thickening, and rheological phase transitions in athermally sheared frictionless disks
- Kinetic theory of discontinuous shear thickening for a dilute gas-solid suspension