Concerning the geometric limit of the density of a loose medium modeled by identical spherical particles

Based on the introduced system of definitions, the statistical-geometric property of a random close packing (RCP) of identical solid spheres (SS) is found that determines the geometric limit of the packing density. The results of calculations using computer models of SS packings show that the magnitude of the geometric limit virtually coincides with a real limiting density of the RCP of SS.Notation _max limiting density of packing in an RCP of SS - V ₀ volume of packing before placing trial spheres - V volume of packing after placing trial spheres - N number of spheres in a packing - k quantity of trial spheres - density of packing - x distance from a given point to the nearest center of SS - inaccessible volume - x _max the largest value ofx in a packing - _g model estimate of the limiting density of packing Ural State Technical University, Ekaterinburg, Russia. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 4, pp. 564–568, July–August, 1995.