ETH Zurich, Computational Physics for Engineering Materials, Institute for Building Materials, Stefano-Franscini-Platz 3, 8093 Zurich, Switzerland.
Departamento de Física, Universidade do Ceará, 60451-970 Fortaleza, Brazil.
Phys Rev E. 2019 Jan;99(1-1):012904. doi: 10.1103/PhysRevE.99.012904.
We study fragment size distributions after crushing 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 information about the origin of the power-law distributions for the granular assembly under uniaxial compression.
我们通过数值模拟研究了在圆柱形容器内单颗粒和多颗粒在单轴压缩下破碎后的碎片尺寸分布。假设破碎是在颗粒内部进行的，我们得到了大位移后两种情况下的碎片尺寸分布。对于单颗粒破碎，这种破碎机制产生了对数正态分布，与堆积床的碎片尺寸的幂律分布不同。我们表明，随着破碎过程的发展，单颗粒的位移呈现出幂律关系，而对于多颗粒系统，分布收敛到一个稳态。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，这为单轴压缩下颗粒组装的幂律分布的起源提供了信息。
