从接触力、能量分布和接触网络结构特点出发,提出了强力链的力大小(Fc)判据(Fc大于平均接触力(F))和角度θc判据(θc=180/〈Z),其中(Z)是平均配位数),指出强力链和弱力链是本质不同的两类结构存在于颗粒体系中,其中强力链网络与体系的宏观性质直接相关.以二维颗粒体系的单轴压缩为例,计算发现了强力链长度的幂率分布规律,分析了侧向压力系数与相应强力链网络结构的关系:当内部强力链网络充分发育而不再变化时,侧向压力系数趋于稳定数值.
Granular matter is a large assemblage of dense-packing particles. The interparticle forces are transmitted through heterogeneous chain architecture. The force chains would display different responses as external loading varies, and it would be directly related to the macroscopic mechanical properties of the granular system. Therefore, understanding the properties of force chains is fundamental to the study in granular systems. In this work, we firstly analyzed three characteristic time scales involved in processes occurring in granular systems, and proposed three dimensionless numbers to measure their relative importance. Secondly, a series of numerical simulations were conducted on a uniaxial compression system consisting of 12400 polydispersed particles. Our results showed that the shape of force distributions are unaffected by system preparation history and packing fractions in the range from 0. 855 to 0. 886, but mainly affected by the static surface friction. By defining three conditions for evaluating strong force chain, the probability distribution of force chain length was found in the form of power law with an exponent of 1.72, which is independent of packing fractions and static surface frictions in this static system.