外力F_(ext)作用下六角密排颗粒结构中力的分布

Force Distribution of a Hexagonal Packing Granular System Under a External Force F_(ext)

研究了二维无摩擦的六角密排结构的球形颗粒系统在顶层单个外力作用下力的分布.在此过程中使用了统计方法:认为在各种接触力的作用下该系统的结构分布是等概率的.发现在该系统中:当深度z 1时,各层力的分布会出现双峰的结构,并且双峰的高度会随着深数z的增加而呈幂函数递减.

The force distribution of a two-dimensional hexagonal packing granular system of rigid, frictionless, spherical grains is studied under a vertical downward point force on a single grain at the top layer. A statistical approach that each configuration of the contact force is equally likely is used. The results show that the force distribution in each layer of the system is double-peaked when the depth z〈〈1 and the height of the peak quickly decrease as a power law with the depth increases.