A New Method for Simulating Random Packings of Monodisperse Spheres

As a useful model for many physical systems, such as amorphous materials and porous materials, sphere packings have long been studied. In this paper, random packings of 1000 monodisperse spheres have been generated by using a new method based on compression. The continuous iteration number in same compression direction (CIN) has influence on efficiency of packing. The efficiency of packing becomes larger with the increase of CIN. When the value of CIN is above 25, the efficiency of packing is almost invariant. In order to eliminate inhomogeneous packing and increase packing density, the simulation of shaking is used. A reasonable method of simulating shaking is obtained by experiment. With the increase of iteration number, the changing speed of packing density becomes very small. When the iteration number is more than some value, the packing density remains unchanged. At this time, a stable packing is obtained. The packing density is 0.6 and the average coordination number is 4.3 at stable packing.