三维动静组合加载下花岗岩能量耗散试验研究

doi:10.6040/j.issn.1672-3961.0.2017.577

摘要/Abstract

摘要：

利用改造的三维霍普金森试验系统(split Hopkinson pressure bar, SHPB),选取4个轴压水平(25, 50, 75和100 MPa)和4个围压水平(0, 5, 10和15 MPa),对应开展4种应变率(约70, 90, 110和130 s^-1)下花岗岩三维动静组合加载试验研究,分析静载轴压、静载围压和应变率对花岗岩受冲击过程中能量耗散的影响规律,并讨论其破坏模式。试验结果表明:轴压增大时,花岗岩破坏时单位体积吸收能逐渐降低;围压或应变率增大时,单位体积吸收能逐渐升高。岩石储能极限在能量耗散过程中发挥关键作用,且不同情况下具体表现不同:储能极限与初始储能的差值影响岩石受冲击时的吸能值;当岩石在静载下进入损伤阶段初期时,储能极限与初始储能的比值决定岩石受冲击时的释能值;当岩石在静载下进入损伤阶段后期甚至发生屈服时,储能极限值正比于岩石释能值。此外,岩石破坏模式与单位体积耗散能关系密切:应变率相似静载组合变化时,破碎程度与单位体积吸收能变化呈负相关;静载组合确定应变率梯度变化时,破碎程度与单位体积吸收能变化呈正相关。

关键词: 花岗岩, 三维动静组合加载, 应变率, 能量耗散, 破坏模式

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

中图分类号:

TD803

马少森,陈卫忠,赵武胜. 三维动静组合加载下花岗岩能量耗散试验研究[J]. 山东大学学报 (工学版), 2019, 49(3): 95-102.

Shaosen MA,Weizhong CHEN,Wusheng ZHAO. Experimental study on energy dissipation of granite subjected to three-dimensional coupled static and dynamic loading[J]. Journal of Shandong University(Engineering Science), 2019, 49(3): 95-102.

图/表 9

图1

表1

图2

图3

表2

三维动静组合加载试验结果"

试验编号	轴压/MPa	围压/MPa	单位体积吸收能/(J·cm^-3)
试验编号	轴压/MPa	围压/MPa	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)

表2

图4

图5

图6

图7

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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

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