Silbert Leonardo E, Grest Gary S, Brewster Robert, Levine Alex J
Department of Physics, Southern Illinois University, Carbondale, Illinois 62901, USA.
Phys Rev Lett. 2007 Aug 10;99(6):068002. doi: 10.1103/PhysRevLett.99.068002. Epub 2007 Aug 9.
We study the rheology and distribution of interparticle contact lifetimes for gravity-driven, dense granular flows of noncohesive particles down an inclined plane using large-scale, three dimensional, granular dynamics simulations. Rather than observing a large number of long-lived contacts as might be expected for dense flows, brief binary collisions predominate. In the hard-particle limit, the rheology conforms to Bagnold scaling, where the shear stress is quadratic in the strain rate. As the particles are made softer, however, we find significant deviations from Bagnold rheology; the material flows more like a viscous fluid. We attribute this change in the collective rheology of the material to subtle changes in the contact lifetime distribution involving the increasing lifetime and number of the long-lived contacts in the softer particle systems.
我们使用大规模三维颗粒动力学模拟,研究了非粘性颗粒在重力驱动下沿倾斜平面的致密颗粒流中颗粒间接触寿命的流变学和分布情况。与致密流可能预期的大量长寿命接触不同,短暂的二元碰撞占主导。在硬颗粒极限情况下,流变学符合巴格诺尔德标度律,即剪切应力与应变率呈二次方关系。然而,当颗粒变得更软时,我们发现与巴格诺尔德流变学有显著偏差;材料流动更像粘性流体。我们将材料集体流变学的这种变化归因于接触寿命分布的细微变化,包括较软颗粒系统中长寿命接触的寿命增加和数量增多。