English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the steady plane shear flow of a dense assembly of frictional,inelastic disks using discrete simulation and prescribing the pressure and theshear rate. We show that, in the limit of rigid grains, the shear state isdetermined by a single dimensionless number, called inertial number I, whichdescribes the ratio of inertial to pressure forces. Small values of Icorrespond to the quasi-static regime of soil mechanics, while large values ofI correspond to the collisional regime of the kinetic theory. Those shearstates are homogeneous, and become intermittent in the quasi-static regime.When I increases in the intermediate regime, we measure an approximately lineardecrease of the solid fraction from the maximum packing value, and anapproximately linear increase of the effective friction coefficient from thestatic internal friction value. From those dilatancy and friction laws, wededuce the constitutive law for dense granular flows, with a plastic Coulombterm and a viscous Bagnold term. We also show that the relative velocityfluctuations follow a scaling law as a function of I. The mechanicalcharacteristics of the grains (restitution, friction and elasticity) have avery small influence in this intermediate regime. Then, we explain how thefriction law is related to the angular distribution of contact forces, and whythe local frictional forces have a small contribution to the macroscopicfriction. At the end, as an example of heterogeneous stress distribution, wedescribe the shear localization when gravity is added.Comment: 24 pages, 19 figure

Rheophysics of dense granular materials: Discrete simulation of plane shear flows