154
5 Projectile Penetrations into Coarse Aggregated UHPCC Targets
Table 5.12 Parameters of the HJC model for limestone, basalt and quartz aggregates
Parameter Limestone Basalt Quartz Parameter
Limestone Basalt
Quartz
ρ (kg/m 3 ) 2600
3000
2700
S max
7.0
7.0
7.0
G (GPa)
31.7
41.6
47.4
P crush (MPa) 33.3
66.7
117
A
0.3
0.3
0.3
U crush
1.05 ×
10 −3
1.20 ×
10 −3
1.86 ×
10 −4
B
1.73
1.73
1.73
P lock (GPa)
3.47
3.47
3.47
C
0.005
0.005
0.005
U lock
0.12
0.1
0.07
N
0.79
0.79
0.79
D 1
0.04
0.04
0.04
f c (MPa)
100
200
350
D 2
1.0
1.0
1.0
T (MPa)
6.2
8.77
11.6
K 1 (GPa)
116
116
116
EPS0
1.00
1.00
1.00
K 2 (GPa)
−243
−243
−243
EFMIN
0.01
0.01
0.01
K 3 (GPa)
506
506
506
high strength concrete or rock provided by Ren et al. (2017), the main model parameters of limestone, basalt and quartz aggregates are summarized in Table 5.12. It
should be noted that, the maximum principal strain for deleting failed elements is
0.2 which is identical to that in Sect. 5.4.2.2.
5.4.3.1 Projectile Penetration Resistance
In order to analyze anti-penetration performance of different aggregated UHPC
targets, the numerical simulations of projectile penetrating into four targets with
V 0 = 400, 600, 800 and 1000 m/s are performed, respectively. The numerically
derived results are shown in Fig. 5.43. It indicates that the DOP decreases with the
rise of the coarse aggregate strength (hardness), especially when the impact velocity
Fig. 5.43 Depth of
penetration
300
400
500
600
700
800
900 1000 1100
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
LA-UHPCC
BA-UHPCC
QA-UHPCC
CA-UHPCC
DOP (m)
V 0 (m/s)