Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial Stress
Table 3
Fracture damage energy and fractal dimension of fragmentation degree of specimens.
Number
DY-2-2
0.15
3.11
0
1.752
4.595
35.69
93.61
2.308
DY-2-6
0.2
3.72
0
3.554
3.931
72.40
80.08
2.493
DY-2-9
0.25
4.22
0
5.024
3.154
102.4
64.25
2.714
DY-2-12
0.3
4.80
0
10.39
2.510
211.7
51.13
2.919
WY-1-1-0.7
0.35
6.162
0.7
0.2396
22.76
4.881
463.7
1.208
WY-2-1-0.7
0.5
8.396
0.7
1.399
33.89
28.50
690.4
1.269
WY-3-2-0.7
0.65
9.255
0.7
10.36
49.44
211.0
1007
1.472
WY-4-1-0.7
0.8
10.633
0.7
15.59
51.98
317.6
1059
1.573
WY-1-3-0.86
0.35
6.214
0.86
0.2396
19.76
4.881
402.5
1.194
WY-2-3-0.86
0.5
7.862
0.86
1.281
28.60
26.10
582.6
1.201
WY-3-1-0.86
0.65
9.314
0.86
7.960
44.51
162.2
906.8
1.397
WY-4-1-0.86
0.8
10.789
0.86
14.44
51.83
294.2
1056
1.411
WY-1-3-1
0.35
6.282
1
0.2396
15.32
4.881
312.1
1.072
WY-2-3-1
0.5
8.205
1
1.152
26.46
23.47
539.0
1.132
WY-3-2-1
0.65
9.325
1
7.011
43.88
142.8
893.9
1.265
WY-4-3-1
0.8
10.679
1
14.10
46.25
287.2
942.2
1.352
WY-1-1-1.15
0.35
6.47
1.15
0.2396
13.63
4.881
277.7
0.9844
WY-2-1-1.15
0.5
8.154
1.15
1.107
21.17
22.55
431.3
1.012
WY-3-1-1.15
0.65
9.325
1.15
6.037
39.39
123.0
802.4
1.195
WY-4-2-1.15
0.8
10.764
1.15
10.28
48.45
209.4
987.0
1.216
WY-1-3-1.3
0.35
6.282
1.3
0.2396
12.34
4.881
251.4
0.8812
WY-2-1-1.3
0.5
7.681
1.3
0.8404
16.01
17.12
326.4
0.9091
WY-3-1-1.3
0.65
9.422
1.3
4.954
30.34
100.9
618.1
0.9852
WY-4-3-1.3
0.8
10.638
1.3
6.986
42.64
142.3
868.7
1.138
WY-1-1-1.45
0.35
6.447
1.45
0.2396
9.440
4.881
192.3
0.6531
WY-2-2-1.45
0.5
8.202
1.45
0.6897
14.50
14.05
295.4
0.6731
WY-3-3-1.45
0.65
9.847
1.45
2.436
32.02
49.63
652.3
0.7992
WY-4-3-1.45
0.8
11.546
1.45
4.955
38.99
100.9
794.3
1.119
Note. Number, specimen number; , impact air pressure; , impact velocity; , confining pressure values; , fracture energy; , damage energy; , fracture energy density; , damage energy density; , fractal dimension of fragmentation degree. The fracture energy density and damage energy density shown in the table are respectively the fracture energy and damage energy dissipated by cemented sand specimens per unit volume, which are defined to study the relationship between fractal dimension of fragmentation degree and fracture energy, damage energy dissipated by specimens.
