单轴循环冲击下弱风化花岗岩的损伤演化

闫雷; 刘连生; 李仕杰; 杨道学; 刘伟

doi:10.11883/bzycj-2019-0354

单轴循环冲击下弱风化花岗岩的损伤演化

doi: 10.11883/bzycj-2019-0354

闫雷^1,,
刘连生^{1, 2, ,},
李仕杰¹,
杨道学¹,
刘伟¹

1.
江西理工大学资源与环境工程学院，江西赣州 341000
2.
江西理工大学江西省矿业工程重点实验室，江西赣州 341000

基金项目: 国家自然科学基金（51404111）；江西省自然科学基金（20192BAB206017）；江西理工大学清江优秀人才支持计划（JXUSTQJYX2016007）

详细信息

作者简介:
闫　雷（1994－　），男，硕士研究生，yanleijxust@163.com

通讯作者:
刘连生（1979－　），男，博士，教授，lianshengliu@jxust.edu.cn

中图分类号: O382
计量
- 文章访问数: 4825
- HTML全文浏览量: 1640
- PDF下载量: 60
- 被引次数: 0
出版历程
- 收稿日期: 2019-09-15
- 修回日期: 2019-10-23
- 网络出版日期: 2020-04-25
- 刊出日期: 2020-05-01

Damage evolution of weakly-weathered granite under uniaxial cyclic impact

YAN Lei^1
,,
LIU Liansheng^{1, 2
, ,},
LI Shijie¹,
YANG Daoxue¹,
LIU Wei¹

1.
School of Resource and Environmental Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, Jiangxi, China
2.
Jiangxi Key Laboratory of Mining Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, Jiangxi, China

摘要

摘要: 为研究爆破应力波作用下弱风化花岗岩的力学特性和损伤演化机理，利用直径50 mm的改进分离式Hopkinson压杆装置，开展以不同速度对花岗岩进行单次和等速循环冲击下的实验研究。研究结果表明：单次冲击中，用能量法确定的损伤阈值，可用于循环冲击实验中；不同应变率下弱风化岩石裂纹扩展阶段存在应力松弛平台，且随应变率升高而愈发明显，峰值应力与应变率呈正相关。等速循环冲击中，最大应力、应变与冲击速度呈正相关，与岩样累积冲击总次数呈负相关；损伤演化具有3个阶段呈倒S形，由其构建的双参数损伤演化模型拟合效果理想，且具有物理意义；利用模型中的参数α和β可计算中值点处的损伤度和相对循环次数，且与冲击速度正相关；不同损伤变量计算的损伤演化模型不同，合理定义损伤变量是必要的。
- 弱风化花岗岩 /
- 循环冲击 /
- 损伤阈值 /
- 演化模型
Abstract: In order to study the mechanical properties and damage evolution mechanism of weakly-weathered granite under blasting stress wave, single and constant-velocity cyclic impact tests on the granite specimens at different velocities were carried out using a modified split Hopkinson pressure bar (SHPB) with the diameter of 50 mm. The results show that the damage threshold determined by the energy method in single-impact tests can be used in the cyclic-impact tests. The stress relaxation platform exists in the crack propagation stage of the weakly-weathered granite at different strain rates, and it becomes more obvious with the increase of strain rate. The peak stress is positively correlated with strain rate. In the cyclic impact, the maximum stress and strain are positively correlated with the impact velocity, and negatively correlated with the total number of cumulative impacts; the damage evolution can be divided into three stages taking on an inverted-S shape, and a damage evolution model with two parameters is established by it. The fitting effect of the model is ideal and has physical significance; the damage degree at the median point and the relative number of cycles can be calculated by using the parameters α and β in the model, are positively correlated with the impact velocity. The damage evolution models described by different damage variables are different, so it is necessary to define the damage variables reasonably.
- weakly-weathered granite /
- cyclic impact /
- damage threshold /
- evolution model

HTML全文

图 1 加工好的部分岩石试样

Figure 1. Processed weakly-weathered granite specimens

下载: 全尺寸图片幻灯片

图 2 SHPB实验系统

Figure 2. SHPB experimental system

下载: 全尺寸图片幻灯片

图 3 岩样E4动态力平衡检验

Figure 3. Dynamic stress balance check for specimen E4

下载: 全尺寸图片幻灯片

图 4 加载段单位体积能量计算

Figure 4. Volume energy calculation for load segment

下载: 全尺寸图片幻灯片

图 5 不同速度单次冲击的应力-应变曲线及破坏形式

Figure 5. Stress-strain curves and failure modes of the specimens subjected to single impact at different velocities

下载: 全尺寸图片幻灯片

图 6 不同速度循环冲击岩样的应力-应变曲线及其破坏形式

Figure 6. Stress-strain curves and failure modes of different specimens subjected to cyclic impact at different velocities

下载: 全尺寸图片幻灯片

图 7 不同冲击速度下不同岩样最大轴向应变的演化

Figure 7. Evolution of the maximum axial strain with cyclic-impact number at different impact velocitiesfor different specimens

下载: 全尺寸图片幻灯片

图 8 不同损伤定义下的损伤演化模型

Figure 8. The damage evolution models represented by different damage variables

下载: 全尺寸图片幻灯片

图 9 参数α和β对损伤累积模型的影响

Figure 9. Effects of parameters α and β on the damage accumulation model

下载: 全尺寸图片幻灯片

表 1 单次冲击和首次循环冲击实验结果

Table 1. Single impact and first cycle impact test results

编号	v/(m·s⁻¹)	W_i/J	L/D	n_eff/%	ρ/(g·cm⁻³)	v_l/(m·s⁻¹)	σ_dc/MPa	$ \dot \varepsilon$/s^-1	N
A1	3.69	8.85	1.02	2.35	2 477	3 628	24.76	22.11	1
A3	4.06	12.80	1.04	2.47	2 456	3 601	27.01	29.04	1
B1	5.04	20.03	1.03	2.50	2 455	3 594	36.06	35.19	1
C1	5.97	27.25	1.03	2.32	2 434	3 634	38.93	44.61	1
D5	6.94	37.92	1.03	2.45	2 457	3 605	42.18	53.67	1
E1	7.92	52.65	1.03	2.36	2 472	3 625	59.31	62.16	1
F1-1	3.92	10.41	1.03	2.41	2 446	3 614	31.31	16.42	17
G3-1	4.98	15.39	1.02	2.37	2 426	3 623	36.84	26.59	11
H2-1	5.87	25.22	1.04	2.55	2 406	3 583	49.00	35.99	5

下载: 导出CSV

参考文献(31)

[1]	沈滔, 李海东, 靳杨, 等. 赣南地区花岗岩风化壳中稀土元素特征探讨 [J]. 稀土, 2016, 37(2): 62–67. DOI: 10.16533/J.CNKI.15-1099/TF.201602010. SHEN T, LI H D, JIN Y, et al. Discussion on the characteristics of rare earth elements from weathering crust of granites in south Jiangxi [J]. Chinese Rare Earths, 2016, 37(2): 62–67. DOI: 10.16533/J.CNKI.15-1099/TF.201602010.
[2]	LI H B, XIA X, LI J C, et al. Rock damage control in bedrock blasting excavation for a nuclear power plant [J]. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(2): 210–218. DOI: 10.1016/j.ijrmms.2010.11.016.
[3]	李地元, 孙小磊, 周子龙, 等. 多次冲击荷载作用下花岗岩动态累计损伤特性 [J]. 实验力学, 2016, 31(6): 827–835. DOI: 10.7520/1001-4888-16-009. LI D Y, SUN X L, ZHOU Z L, et al. On the dynamic accumulated damage characteristics of granite subjected to repeated impact load action [J]. Journal of Experimental Mechanics, 2016, 31(6): 827–835. DOI: 10.7520/1001-4888-16-009.
[4]	YAN L, YI W H, LIU L S, et al. Blasting-induced permeability enhancement of ore deposits associated with low-permeability weakly weathered granites based on the split Hopkinson pressure bar [J]. Geofluids, 2018, 2018: 4267878. DOI: 10.1155/2018/4267878.
[5]	ZHANG Q B, ZHAO J. A review of dynamic experimental techniques and mechanical behaviour of rock materials [J]. Rock Mechanics and Rock Engineering, 2014, 47(4): 1411–1478. DOI: 10.1007/s00603-013-0463-y.
[6]	金解放, 李夕兵, 殷志强, 等. 循环冲击下波阻抗定义岩石损伤变量的研究 [J]. 岩土力学, 2011, 32(5): 1385–1393; 1410. DOI: 10.3969/j.issn.1000-7598.2011.05.017. JIN J F, LI X B, YIN Z Q, et al. A method for defining rock damage variable by wave impedance under cyclic impact loadings [J]. Rock and Soil Mechanics, 2011, 32(5): 1385–1393; 1410. DOI: 10.3969/j.issn.1000-7598.2011.05.017.
[7]	金解放, 李夕兵, 王观石, 等. 循环冲击载荷作用下砂岩破坏模式及其机理 [J]. 中南大学学报(自然科学版), 2012, 43(4): 1453–1461. JIN J F, LI X B, WANG G S, et al. Failure modes and mechanisms of sandstone under cyclic impact loadings [J]. Journal of Central South University (Science and Technology), 2012, 43(4): 1453–1461.
[8]	金解放, 李夕兵, 邱灿, 等. 岩石循环冲击损伤演化模型及静载荷对损伤累积的影响 [J]. 岩石力学与工程学报, 2014, 33(8): 1662–1671. DOI: 10.13722/j.cnki.jrme.2014.08.017. JIN J F, LI X B, QIU C, et al. Evolution model for damage accumulation of rock under cyclic impact loadings and effect of static loads on damage evolution [J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(8): 1662–1671. DOI: 10.13722/j.cnki.jrme.2014.08.017.
[9]	王春, 唐礼忠, 程露萍, 等. 三维高静载频繁动态扰动时岩石损伤特性及本构模型 [J]. 岩土力学, 2017, 38(8): 2286–2296; 2305. DOI: 10.16285/j.rsm.2017.08.017. WANG C, TANG L Z, CHENG L P, et al. Damage characteristics and constitutive model of rock under three-dimensional high static load and frequent dynamic disturbance [J]. Rock and Soil Mechanics, 2017, 38(8): 2286–2296; 2305. DOI: 10.16285/j.rsm.2017.08.017.
[10]	朱晶晶, 李夕兵, 宫凤强, 等. 单轴循环冲击下岩石的动力学特性及其损伤模型研究 [J]. 岩土工程学报, 2013, 35(3): 531–539. ZHU J J, LI X B, GONG F Q, et al. Dynamic characteristics and damage model for rock under uniaxial cyclic impact compressive loads [J]. Chinese Journal of Geotechnical Engineering, 2013, 35(3): 531–539.
[11]	LI S H, ZHU W C, NIU L L, et al. Dynamic characteristics of green sandstone subjected to repetitive impact loading: phenomena and mechanisms [J]. Rock Mechanics and Rock Engineering, 2018, 51(6): 1921–1936. DOI: 10.1007/s00603-018-1449-6.
[12]	王志亮, 杨辉, 田诺成. 单轴循环冲击下花岗岩力学特性与损伤演化机理 [J]. 哈尔滨工业大学学报, 2020, 52(2): 59–66. DOI: 10.11918/201811085. WANG Z L, YANG H, TIAN N C. Mechanical property and damage evolution mechanism of granite under uniaxial cyclic impact [J]. Journal of Harbin Institute of Technology, 2020, 52(2): 59–66. DOI: 10.11918/201811085.
[13]	DAI F, HUANG S, XIA K W, et al. Some fundamental issues in dynamic compression and tension tests of rocks using split Hopkinson pressure bar [J]. Rock Mechanics and Rock Engineering, 2010, 43(6): 657–666. DOI: 10.1007/s00603-010-0091-8.
[14]	LI X B, ZHOU Z L, LOK T S, et al. Innovative testing technique of rock subjected to coupled static and dynamic loads [J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(5): 739–748. DOI: 10.1016/j.ijrmms.2007.08.013.
[15]	LI X B, LOK T S, ZHAO J, et al. Oscillation elimination in the Hopkinson bar apparatus and resultant complete dynamic stress-strain curves for rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2000, 37(7): 1055–1060. DOI: 10.1016/S1365-1609(00)00037-X.
[16]	宋力, 胡时胜. SHPB数据处理中的二波法与三波法 [J]. 爆炸与冲击, 2005, 25(4): 368–373. DOI: 10.11883/1001-1455(2005)04-0368-06. SONG L, HU S S. Two-wave and three-wave method in SHPB data processing [J]. Explosion and Shock Waves, 2005, 25(4): 368–373. DOI: 10.11883/1001-1455(2005)04-0368-06.
[17]	王晓燕, 卢芳云, 林玉亮. SHPB实验中端面摩擦效应研究 [J]. 爆炸与冲击, 2006, 26(2): 134–139. DOI: 10.11883/1001-1455(2006)02-0134-06. WANG X Y, LU Y F, LING Y L. Study on interfacial friction effect in the SHPB tests [J]. Explosion and Shock Waves, 2006, 26(2): 134–139. DOI: 10.11883/1001-1455(2006)02-0134-06.
[18]	WANG P, YIN T B, LI X B, et al. Dynamic properties of thermally treated granite subjected to cyclic impact loading [J]. Rock Mechanics and Rock Engineering, 2019, 52(4): 991–1010. DOI: 10.1007/s00603-018-1606-y.
[19]	葛修润, 任建喜, 蒲毅彬, 等. 岩石疲劳损伤扩展规律CT细观分析初探 [J]. 岩土工程学报, 2001, 23(2): 191–195. DOI: 10.3321/j.issn:1000-4548.2001.02.013. GE X R, REN J X, PU Y B, et al. Primary study of CT real-time testing of fatigue meso-damage propagation law of rock [J]. Chinese Journal of Geotechnical Engineering, 2001, 23(2): 191–195. DOI: 10.3321/j.issn:1000-4548.2001.02.013.
[20]	王宇, 李晓, 武艳芳, 等. 脆性岩石起裂应力水平与脆性指标关系探讨 [J]. 岩石力学与工程学报, 2014, 33(2): 264–275. DOI: 10.13722/j.cnki.jrme.2014.02.003. WANG Y, LI X, WU Y F, et al. Research on relationship between crack initiation stress level and brittleness indices for brittle rocks [J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(2): 264–275. DOI: 10.13722/j.cnki.jrme.2014.02.003.
[21]	梁昌玉, 李晓, 王声星, 等. 岩石单轴压缩应力-应变特征的率相关性及能量机制试验研究 [J]. 岩石力学与工程学报, 2012, 31(9): 1830–1838. DOI: 10.3969/j.issn.1000-6915.2012.09.014. LIANG C Y, LI X, WANG S X, et al. Experimental investigations on rate-dependent stress-strain characteristics and energy mechanism of rock under uniaixal compression [J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(9): 1830–1838. DOI: 10.3969/j.issn.1000-6915.2012.09.014.
[22]	NICKSIAR M, MARTIN C D. Crack initiation stress in low porosity crystalline and sedimentary rocks [J]. Engineering Geology, 2013, 154: 64–76. DOI: 10.1016/j.enggeo.2012.12.007.
[23]	宫凤强, 王进, 李夕兵. 岩石压缩特性的率效应与动态增强因子统一模型 [J]. 岩石力学与工程学报, 2018, 37(7): 1586–1595. DOI: 10.13722/j.cnki.jrme.2017.1239. GONG F Q, WANG J, LI X B. The rate effect of compression characteristics and a unified model of dynamic increasing factor for rock materials [J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(7): 1586–1595. DOI: 10.13722/j.cnki.jrme.2017.1239.
[24]	LI X B, LOK T S, ZHAO J. Dynamic characteristics of granite subjected to intermediate loading rate [J]. Rock Mechanics and Rock Engineering, 2005, 38(1): 21–39. DOI: 10.1007/s00603-004-0030-7.
[25]	李树刚, 陈高峰, 双海清, 等. 加载速率和初始损伤对砂岩能量演化影响的试验研究 [J]. 采矿与安全工程学报, 2019, 36(2): 373–380. DOI: 10.13545/j.cnki.jmse.2019.02.021. LI S G, CHEN G F, SHUANG H Q, et al. Experimental study on effect of loading rate and initial damage on energy evolution of sandstone [J]. Journal of Mining and Safety Engineering, 2019, 36(2): 373–380. DOI: 10.13545/j.cnki.jmse.2019.02.021.
[26]	文志杰, 田雷, 蒋宇静, 等. 基于应变能密度的非均质岩石损伤本构模型研究 [J]. 岩石力学与工程学报, 2019, 38(7): 1332–1343. DOI: 10.13722/j.cnki.jrme.2018.1125. WEN Z J, TIAN L, JIANG Y J, et al. Research on damage constitutive model of inhomogeneous rocks based on strain energy density [J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(7): 1332–1343. DOI: 10.13722/j.cnki.jrme.2018.1125.
[27]	ZHANG J X, WONG T F, DAVIS D M. Micromechanics of pressure‐induced grain crushing in porous rocks [J]. Journal of Geophysical Research, 1990, 95(B1): 341–352. DOI: 10.1029/JB095iB01p00341.
[28]	XIAO J Q, DING D X, XU G, et al. Inverted S-shaped model for nonlinear fatigue damage of rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(3): 643–648. DOI: 10.1016/j.ijrmms.2008.11.002.
[29]	LIU Y, DAI F, DONG L, et al. Experimental investigation on the fatigue mechanical properties of intermittently jointed rock models under cyclic uniaxial compression with different loading parameters [J]. Rock Mechanics and Rock Engineering, 2018, 51(1): 47–68. DOI: 10.1007/s00603-017-1327-7.
[30]	XIAO J Q, DING D X, JIANG F L, et al. Fatigue damage variable and evolution of rock subjected to cyclic loading [J]. International Journal of Rock Mechanics and Mining Sciences, 2010, 47(3): 461–468. DOI: 10.1016/j.ijrmms.2009.11.003.
[31]	YAN L, LIU L S, ZHANG S H, et al. Testing of weakly weathered granites of different porosities using a split Hopkinson pressure bar technique [J]. Advances in Civil Engineering, 2018, 2018: 5267610.