On the Shape Simulation of Aggregate and Cement Particles in a DEM System

Table 2

Shape indices of the regular polyhedra, appropriate proportions according to Guo [11], and revised proportions for better overall simulation results.

Shapes	Facet number	Sphericity		Proportion by Guo [11]	Revised proportion
Tetrahedron	4	0.67	7.21	10.0%	5%
Pentahedron I	5	0.70	6.95	12.5%	5%
Pentahedron II	5	0.72	6.71	12.5%	5%
Hexahedron I (cube)	6	0.81	6.00	17.5%	10%
Hexahedron II	6	0.76	6.39	17.5%	10%
Heptahedron I	7	0.83	5.83	10.0%	15.5%
Heptahedron II	7	0.80	6.06	10.0%	15.5%
Octahedron I	8	0.85	5.72	5.0%	17%
Octahedron II	8	0.78	6.24	5.0%	17%
Sphere		1.00	4.84	—	—