论文标题

剪切诱导的颗粒材料混合,具有宽阔的颗粒尺寸分布

Shear-induced mixing of granular materials featuring broad granule size distributions

论文作者

Chattoraj, Joyjit, Huy, Nguyen Hoang, Aggarwal, Saurabh, Habibullah, Mohamed Salahuddin, Farbiz, Farzam

论文摘要

使用离散元素方法研究了剪切诱导的混合过程中的颗粒流。目的是了解从未与混合相到混合相的过渡的基本机制,用于具有颗粒的广泛分布的颗粒材料,我们通过改变应变速率和系统大小来系统地调查。在这里,应变速率在四个数量级以上,系统大小从一万到一百万颗颗粒不等。观察到了从过度到纯惯性流的应变率依赖性过渡。在宏观尺度上,由于剪切引起的不稳定性的形成而导致的接触应力下降,这是颗粒流的开始并引发颗粒之间的混合。应力滴滴显示出深刻的系统大小依赖性。在颗粒状的尺度上,混合动力学与剪切带的形成相关,这会导致混合的时间尺度明显不同,尤其是对于那些接近系统壁和散装区域的区域。总体而言,我们的结果表明,尽管瞬态动力学表现出通用行为,但它们具有显着的有限尺寸效果。相反,稳态的宏观行为具有可忽略的系统大小依赖性。

Granular flows during a shear-induced mixing process are studied using Discrete Element Methods. The aim is to understand the underlying elementary mechanisms of transition from unmixed to mixed phases for a granular material featuring a broad distribution of particles, which we investigate systematically by varying the strain rate and system size. Here the strain rate varies over four orders of magnitude and the system size varies from ten thousand to more than a million granules. A strain rate-dependent transition from quasistatic to purely inertial flow is observed. At the macroscopic scale, the contact stresses drop due to the formation of shear-induced instabilities that serves as an onset of granular flows and initiates mixing between the granules. The stress-drop displays a profound system size dependence. At the granular scale, mixing dynamics are correlated with the formation of shear bands, which result in significantly different timescales of mixing, especially for those regions that are close to the system walls and the bulk. Overall, our results reveal that although the transient dynamics display a generic behavior these have a significant finite-size effect. In contrast, macroscopic behaviors at steady states have negligible system size dependence.

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