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arXiv 1208.0499cond-mat.soft
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二维颗粒介质中颗粒形状的相关性

Particle shape dependence in 2D granular media

B. Saint-Cyr, K. Szarf, C. Voivret, E. Azéma, V. Richefeu, J. -Y. Delenne, G. Combe, C. Nouguier-Lehon, P. Villard, P. Sornay, M. Chaze, F. Radjaï

摘要:

颗粒形状是决定颗粒物质的空间填充和强度特性的关键。我们考虑一个形状参数$η$描述的程度从一个完美的球形形状的失真。包括最具体的形状特征,如伸长率,棱角性和nonconvexity,$η$是一个低阶的,但通用的参数,我们用在一个数值基准测试的形状依赖性的系统调查剪切颗粒填料组成的不同形状的颗粒。我们发现,剪切强度是$η$与几乎相同的趋势,所有形状的增加函数,因此出现的差异是二阶相比,$η$。我们还观察到一个非平凡的行为的包装分数,对于我们所有的模拟形状,增加与$η$从随机紧密包装分数的磁盘,达到一个峰值,大大高于磁盘,随后下降为$η$进一步增加。这些研究结果表明,低阶描述的颗粒形状占填充分数和剪切强度的主要趋势。因此,二阶形状参数的影响可以通过在$η$的同一水平上考虑不同的形状来研究。

英文摘要:

Particle shape is a key to the space-filling and strength properties of granular matter. We consider a shape parameter $η$ describing the degree of distortion from a perfectly spherical shape. Encompassing most specific shape characteristics such as elongation, angularity and nonconvexity, $η$ is a low-order but generic parameter that we used in a numerical benchmark test for a systematic investigation of shape-dependence in sheared granular packings composed of particles of different shapes. We find that the shear strength is an increasing function of $η$ with nearly the same trend for all shapes, the differences appearing thus to be of second order compared to $η$. We also observe a nontrivial behavior of packing fraction which, for all our simulated shapes, increases with $η$ from the random close packing fraction for disks, reaches a peak considerably higher than that for disks, and subsequently declines as $η$ is further increased. These findings suggest that a low-order description of particle shape accounts for the principal trends of packing fraction and shear strength. Hence, the effect of second-order shape parameters may be investigated by considering different shapes at the same level of $η$.

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