Page 35 - The Combined Finite-Discrete Element Method
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18 INTRODUCTION
Figure 1.26 Gravitational deposition sequence of a pack comprising spheres of four different
sizes: 277 spheres of diameter d = 29.988 mm, 1379 spheres of diameter d = 29.988/2 mm, 3036
spheres of diameter d = 29.988/3 mm and 5520 spheres of diameter d = 29.988/4mm; the total
3
solid volume is V = 9.150e−03 m .
1
S4a
0.9 S4b
S4c
0.8 S4d
S4
0.7
Density 0.6
0.5
0.4
0.3
0.2
0 50 100 150 200 250 300 350
Distance from the bottom (mm)
Figure 1.27 Density profile for gravitational deposition of a pack comprising spheres of four dif-
ferent sizes: 277 spheres of diameter d = 29.988 mm, 1379 spheres of diameter d = 29.988/2mm,
3036 spheres of diameter d = 29.988/3 mm and 5520 spheres of diameter d = 29.988/4mm; the
3
total solid volume is V = 9.150e−03 m ; S4a is the initial density profile, S4 is the final density
profile corresponding to the state of rest, and S4b, S4c and S4d are transient density profiles.
packs shown are assembled using uniform size distribution given by the formula
log(x/x min )
y = (1.6)
log(x max /x min )
where y is passing, x is the sieve size, x min is the size of the smallest particle (corre-
sponding to 0% passing) and x max is the sieve size of the largest particle (corresponding
to 100% passing) (Figure 1.30).
