Journal of Shandong University(Engineering Science) ›› 2019, Vol. 49 ›› Issue (3): 95-102.doi: 10.6040/j.issn.1672-3961.0.2017.577

• Civil Engineering • Previous Articles     Next Articles

Experimental study on energy dissipation of granite subjected to three-dimensional coupled static and dynamic loading

Shaosen MA1(),Weizhong CHEN1,Wusheng ZHAO2   

  1. 1. Research Center of Geotechnical and Structural Engineering, Shandong University, Jinan 250061, Shandong, China
    2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, Hubei, China
  • Received:2017-11-09 Online:2019-06-20 Published:2019-06-27
  • Supported by:
    国家重点基础研究发展计划(973)资助项目(2015CB057906)

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Abstract:

The objective of this study was to investigate the effects of axial static stress, confining pressure, strain rate on the energy dissipation and failure patterns of granite under three-dimensional coupled static-dynamic loading on a modified split Hopkinson pressure bar (SHPB) system. In particular, four levels of axial static stress (25, 50, 75 and 100 MPa), four levels of confining pressure (0, 5, 10 and 15 MPa) and four levels of strain rate (70, 90, 110, 130 s-1) were respectively set up. The test results showed that the absorbed energy per unit volume increased with the decreasing axial static stress, growing confining pressure and higher strain rate. Moreover, it was found that energy storage limit (ESL) played vital roles in the process of energy absorption and release in various situations during the impact: the difference between ESL and initial energy determined the energy absorption value; the ratio between them derived the energy release value when the rock entered early damage stage under static stresses. ESL itself, on the other hand, was proportional to the energy release value when the rock turned into late damage stage before dynamic loading. In addition, the destructiveness had a close correlation with energy dissipation: such a correlation maintained negative when the strain rates were similar and static stress combinations varied; it turned to be positive when static stress combinations were fixed and strain rates varied.

Key words: granite, three-dimensional coupled static-dynamic loading, strain rate, energy dissipation, failure pattern

CLC Number: 

  • TD803

Fig.1

Deviatoric stress-strain curves of granite"

Table 1

Static mechanical parameters of granite"

围压/MPa 抗压强度/MPa 线性极限/MPa E50割线模量/GPa
0 110.01 76.36 30.65
5 132.05 89.63 30.94
10 161.27 107.21 31.19
15 182.06 127.30 31.72

Fig.2

Schematic of the modified SHPB system"

Fig.3

Mechanical states of specimens before and after impacting"

Table 2

Three-dimensional coupled static and dynamic loading test results"

试验编号 轴压/MPa 围压/MPa 单位体积吸收能/(J·cm-3)
重复试验a 重复试验b 重复试验c
1 25 0 1.29(94.83) 1.49(88.45) 1.41(87.63)
2 50 0 0.26(88.59) 0.33(85.39) 0.39(89.63)
3 75 0 -0.11(92.36) -0.28(92.61) -0.19(92.43)
4 100 0 -0.18(84.99) -0.06(94.56) -0.05(93.47)
5 25 5 2.13(90.68) 2.24(89.76) 2.06(87.12)
6 50 5 0.68(87.63) 0.73(97.12) 0.82(86.34)
7 75 5 -0.44(93.66) -0.35(87.06) -0.53(91.32)
8 100 5 -0.21(96.01) -0.35(84.83) -0.24(93.61)
9 25 10 2.68(86.93) 2.86(93.91) 2.72(88.02)
10 50 10 1.4(87.24) 1.46(94.62) 1.59(88.59)
11 75 10 0.19(91.67) 0.04(93.33) 0.11(94.62)
12 100 10 -0.93(94.22) -0.8(91.12) -0.92(98.62)
13 25 15 3.42(89.75) 3.54(89.23) 3.53(85.95)
14 50 15 2.13(86.52) 1.94(86.22) 2.01(91.36)
15 75 15 0.64(91.82) 0.47(90.68) 0.52(92.30)
16 100 15 -0.22(93.93) -0.39(85.34) -0.36(93.53)
17 25 0 1.09(66.98) 1.35(71.63) 1.21(75.95)
18 25 0 1.45(115.11) 1.64(109.62) 1.55(113.49)
19 25 0 1.83(136.09) 1.61(128.76) 1.73(131.63)
20 25 5 1.81(71.22) 1.62(67.85) 1.56(73.68)
21 25 5 2.51(111.53) 2.71(115.93) 2.43(107.67)
22 25 5 2.69(123.12) 2.85(134.72) 2.99(131.09)
23 25 10 1.96(73.33) 1.87(65.73) 2.08(66.82)
24 25 10 3.45(104.52) 3.36(108.37) 3.57(109.48)
25 25 10 4.15(127.88) 4.00(126.41) 4.26(136.25)
26 25 15 2.65(71.42) 2.75(74.04) 2.52(69.75)
27 25 15 4.33(108.24) 4.47(107.34) 4.6(114.34)
28 25 15 5.46(132.96) 5.35(137.52) 5.24(125.83)
29 50 5 0.29(75.21) 0.40(71.92) 0.51(66.50)
30 50 5 1.05(114.32) 1.16(104.62) 1.28(116.53)
31 50 5 1.67(125.30) 1.57(136.50) 1.49(137.40)
32 75 5 -0.97(74.69) -0.78(66.52) -0.82(71.20)
33 75 5 -0.02(113.07) -0.07(110.82) -0.12(109.71)
34 75 5 0.41(138.63) 0.31(132.12) 0.55(134.52)
35 100 5 -0.54(66.88) -0.67(78.30) -0.78(72.93)
36 100 5 0.06(106.52) 0.25(114.22) 0.16(105.63)
37 100 5 0.45(129.63) 0.56(137.29) 0.71(128.60)

Fig.4

Variation laws of absorbed energy per unit volume with axial static stress"

Fig.5

Variation laws of absorbed energy per unit volume with confining pressure"

Fig.6

Variation laws of absorbed energy per unit volume with strain rate"

Fig.7

Typical failure patterns of granite"

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