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arXiv 1901.04801cond-mat.soft
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颗粒材料破碎过程中破碎块度分布的演变

Evolution of fragment size distributions from the crushing of granular materials

Pavel S. Iliev, Falk K. Wittel, Hans J. Herrmann

摘要:

通过数值模拟研究了单个和多个颗粒在圆柱形容器内单轴压缩破碎后的破碎粒度分布。在破碎穿过大部分颗粒的假设下,我们得到了大位移后两种情况下碎片的尺寸分布。对于单颗粒破碎,这种破碎机制产生对数正态分布,这偏离了填充床的碎片尺寸的幂律分布。我们发现,作为破碎过程的演变,幂律依赖于位移是目前为单颗粒,而对于许多颗粒系统,分布收敛到一个稳定的状态。我们进一步研究了力网络和平均配位数作为颗粒尺寸的函数,这给出了内部关于单轴压缩下颗粒组装的幂律分布的起源。

英文摘要:

We study the fragment size distributions after crushing of single and many particles under uniaxial compression inside a cylindrical container by means of numerical simulations. Under the assumption that breaking goes through the bulk of the particle we obtain the size distributions of fragments for both cases after large displacements. For the single particle crushing, this fragmentation mechanism produces a log-normal size distribution, which deviates from the power-law distribution of fragment sizes for the packed bed. We show that as the breaking process evolves, a power-law dependency on the displacement is present for the single grain, while for the many grains system, the distribution converges to a steady state. We further investigate the force networks and the average coordination number as a function of the particle size, which gives inside about the origin of the power-law distributions for the granular assembly under uniaxial compression.

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