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arXiv 1609.08952cond-mat.soft
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碰撞弹性对无剪切二维双金属材料Bagnold流变特性的影响

Effect of Collisional Elasticity on the Bagnold Rheology of Sheared Frictionless Two Dimensional Disks

Daniel Vågberg, Peter Olsson, S. Teitel

摘要:

我们进行恒定体积模拟的稳态,剪切驱动流在一个简单的模型中的无热,双分散,软核,无摩擦的磁盘在两个维度上,使用的耗散法,引起Bagnoldian流变学。专注于小应变速率限制,我们映射出的流变行为作为一个功能的颗粒包装分数$ϕ$和参数$Q$,测量二进制粒子碰撞的弹性。我们发现一个$Q^*(ϕ)$,标志着明确的交叉,从一个区域的特点强非弹性碰撞,$Q<Q^*$,到一个区域的特点弱非弹性碰撞,$Q>Q^*$,并给出证据,$Q^*(ϕ)$发散为$ϕ\toϕ_J$,剪切驱动的干扰过渡。因此,我们得出结论,在任何值的$Q$的干扰过渡行为一样的强非弹性的情况下,提供一个是足够接近$ϕ_J$。我们进一步描述了强非弹性与弱非弹性区域中碰撞的不同性质,并将我们的结果改写为硬颗粒物质讨论中常用的组成方程形式。

英文摘要:

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 $ϕ$ and a parameter $Q$ that measures the elasticity of binary particle collisions. We find a $Q^*(ϕ)$ 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 $Q^*(ϕ)$ diverges as $ϕ\toϕ_J$, 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, provide one is sufficiently close to $ϕ_J$. We further characterize the differing nature of collisions in the strongly inelastic vs weakly inelastic regions, and recast our results into the constituent equation form commonly used in discussions of hard granular matter.

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