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Effect of collisional elasticity on the Bagnold rheology of sheared frictionless two-dimensional disks
Umeå University, Faculty of Science and Technology, Department of Physics.
2017 (English)In: Physical review. E, ISSN 2470-0045, E-ISSN 2470-0053, Vol. 95, no 1, 012902Article in journal (Refereed) Published
Abstract [en]

We carry out constant volume simulations of steady-state, shear-driven flow in a simple model of athermal, bidisperse, soft-core, frictionless disks in two dimensions, using a dissipation law that gives rise to Bagnoldian rheology. Focusing on the small strain rate limit, we map out the rheological behavior as a function of particle packing fraction phi and a parameter Q that measures the elasticity of binary particle collisions. We find a Q*(phi) that marks the clear crossover from a region characteristic of strongly inelastic collisions, Q < Q*, to a region characteristic of weakly inelastic collisions, Q > Q*, and give evidence that Q*(phi) diverges as phi -> phi(J), the shear-driven jamming transition. We thus conclude that the jamming transition at any value of Q behaves the same as the strongly inelastic case, provided one is sufficiently close to fJ. We further characterize the differing nature of collisions in the strongly inelastic vs weakly inelastic regions, and recast our results into the constitutive equation form commonly used in discussions of hard granular matter.

Place, publisher, year, edition, pages
American Physical Society, 2017. Vol. 95, no 1, 012902
National Category
Fusion, Plasma and Space Physics
Identifiers
URN: urn:nbn:se:umu:diva-137411DOI: 10.1103/PhysRevE.95.012902ISI: 000402243300014OAI: oai:DiVA.org:umu-137411DiVA: diva2:1119729
Available from: 2017-07-04 Created: 2017-07-04 Last updated: 2017-07-04Bibliographically approved

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Citation style
  • apa
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