Abstract

1 Introduction Since the last century, a lot of scholars ifi mathematics, physics, chemistry, mineralogy and materials science have been interested in the problem of particles packing, as it is very important in the study of crystal structure, liquid structure, materials science and engineering technology. Actually, there are three types of particles random packing, i. e. the loosest random packing, the dense random packing simultaneous with or without the mechanical movement, such as the tapping, jolting or vibrating. They can be defined as the loosest, medium and densest random packing, respectively. The same type of particles random

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