Srebro Yair, Levine Dov
Department of Physics, Technion, Haifa 32000, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 1):061301. doi: 10.1103/PhysRevE.68.061301. Epub 2003 Dec 3.
We investigate the role of friction in compaction and segregation of granular materials by combining Edwards' thermodynamic hypothesis with a simple mechanical model and mean-field based geometrical calculations. Systems of single species with large friction coefficients are found to compact less. Binary mixtures of grains differing in frictional properties are found to segregate at high compactivities, contrary to granular mixtures differing in size, which segregate at low compactivities. A phase diagram for segregation versus friction coefficients of the two species is generated. Finally, the characteristics of segregation are related directly to the volume fraction without the explicit use of the yet unclear notion of compactivity.
我们通过将爱德华兹的热力学假设与一个简单的力学模型以及基于平均场的几何计算相结合,研究了摩擦力在颗粒材料压实和离析过程中的作用。发现具有大摩擦系数的单一物种系统压实程度较低。与尺寸不同的颗粒混合物在低压实度下发生离析相反,摩擦特性不同的颗粒二元混合物在高压实度下发生离析。生成了两种物种的离析与摩擦系数的相图。最后,离析特征直接与体积分数相关,而无需明确使用尚不清楚的压实度概念。