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arXiv 1409.7804cond-mat.softcond-mat.stat-mech
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剪切软颗粒系统中力分布的各向异性

Anisotropy of force distributions in sheared soft particle systems

Jens Boberski, M. Reza Shaebani, Dietrich E. Wolf

摘要:

在这个数值研究中,测量接触力内的一个周期性的二维剪切系统的软摩擦颗粒报告。归一化法向力的分布随着纯剪切变形的增加而逐渐变宽,导致大的力衰减较慢。然而,该过程减慢,并且在高剪切变形下分布接近不变的形状。通过引入剪切位形中的联合概率分布,证明了即使在剪切系统中,对于固定的方向,力分布的衰减也比指数衰减快。整体加宽可以归因于剪切诱导的应力各向异性的存在下,在不同方向上的平均。对于任意的外加应变,归一化切向力的分布几乎保持其形状。

英文摘要:

In this numerical study, measurements of the contact forces inside a periodic two-dimensional sheared system of soft frictional particles are reported. The distribution of normalized normal forces exhibits a gradual broadening with increasing the pure shear deformation, leading to a slower decay for large forces. The process however slows down and the distribution approaches an invariant shape at high shear deformations. By introducing the joint probability distribution in sheared configurations, it is shown that for a fixed direction, the force distribution decays faster than exponentially even in a sheared system. The overall broadening can be attributed to the averaging over different directions in the presence of shear-induced stress anisotropy. The distribution of normalized tangential forces almost preserves its shape for arbitrary applied strain.

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