爆炸荷载作用下两平行裂纹对扩展中裂纹的影响规律

万端莹; 朱哲明; 刘瑞峰; 刘邦

doi:10.11883/bzycj-2019-0008

爆炸荷载作用下两平行裂纹对扩展中裂纹的影响规律

doi: 10.11883/bzycj-2019-0008

万端莹^{1, 2,},
朱哲明^{1, 2, ,},
刘瑞峰^{1, 2},
刘邦^{1, 2}

1.
四川大学深地科学与工程教育部重点实验室，四川成都 610065
2.
四川大学建筑与环境学院，四川成都 610065

基金项目: 国家自然科学基金(11672194，11702181)；四川省科技计划(2018JZ0036)；四川省安全监管局安全生产科技项目(aj20170515161307)

详细信息

作者简介:
万端莹（1996－　），男，硕士研究生，2451268602@qq.com

通讯作者:
朱哲明（1965－　），男，博士，教授，zhemingzhu@hotmail.com

中图分类号: O346.5
计量
- 文章访问数: 5315
- HTML全文浏览量: 1474
- PDF下载量: 86
- 被引次数: 7
出版历程
- 收稿日期: 2019-01-11
- 修回日期: 2019-02-25
- 网络出版日期: 2019-07-25
- 刊出日期: 2019-08-01

Effect of two parallel cracks on main propagating cracks under blasting

WAN Duanying^{1, 2
,},
ZHU Zheming^{1, 2
, ,},
LIU Ruifeng^{1, 2},
LIU Bang^{1, 2}

1.
MOE Key Laboratory of Deep Earth Science and Engineering, Sichuan University, Chengdu 610065, Sichuan, China
2.
College of Architecture and Environment, Sichuan University, Chengdu 610065, Sichuan, China

摘要

摘要: 用实验和数值模拟方法，研究在爆炸载荷下岩体内部一对平行裂纹对扩展主裂纹的影响规律。实验中，采用带有中心装药孔及预制裂纹的砂岩圆盘试件，利用由示波器、超动态应变仪及裂纹扩展计所组成的测试系统，监测主裂纹扩展速度和扩展距离；数值模拟中，采用了AUTODYN软件进行，模拟了主裂纹及两平行裂纹的扩展规律，对岩石材料，采用线性状态方程及最大拉应力失效准则，并在两平行裂纹间设置相应的观测点记录应力曲线。通过实验与数值模拟分析，得到：爆炸载荷下，紧随冲击波后的稀疏波经过两平行裂纹面反射后变成压缩波，并在两平行裂纹间产生垂直于主裂纹扩展方向的压应力，对裂纹的扩展有压制、止裂作用；而且，这种压应力的大小与两平行裂纹的间距有关，进而导致了不同的止裂效果，影响裂纹的扩展速度及最终扩展长度。
- 爆炸应力波 /
- 裂纹扩展 /
- 止裂 /
- 平行裂纹
Abstract: There are many cracks inside the rock mass. In this paper, taking a pair of parallel cracks as an example, we studied the effect of two parallel cracks on the main crack’s propagation behavior and investigated the relationship of the main crack’s extended length with the two parallel cracks’ spacing, using experiment and numerical simulation. In our experiments, we used a circular sandstone specimen including a center hole charged with a detonator and pre-existing cracks and a test system consisting of an oscilloscope, an ultra-dynamic strain amplifier and crack propagation gauges (CPGs), and monitored the propagation velocity and length of the main crack. In our simulation we used the AUTODYN code to investigate the propagation behavior of the main crack and the two parallel cracks. We described the state of the rock material using the linear equation of state and the maximum tensile stress failure criteria, and designed some target points between the two parallel cracks to record the stress history. The experiments and numerical simulation show that the compressive stress perpendicular to the direction of the main crack occurs between the two parallel cracks under explosive loading; that, as a result of just following the shock waves and encountering the parallel crack surfaces, the rarefactional waves change into compressive waves, thus leading to the confinement of the propagating cracks; and that this compressive stress is related to the spacing between the two parallel cracks, and leads to differences in the main crack’s confinement, propagation velocity, and eventual propagation length.
- explosive stress wave /
- crack propagation /
- crack arrest /
- parallel cracks

HTML全文

图 1 实验砂岩模型和试件尺寸

Figure 1. Sandstone specimen and its dimension

下载: 全尺寸图片幻灯片

图 2 岩石波速测试示意图

Figure 2. Illustration of wave velocity measurement of sandstone

下载: 全尺寸图片幻灯片

图 3 雷管放置示意图

Figure 3. Illustration of detonator’s location

下载: 全尺寸图片幻灯片

图 4 测试系统示意图

Figure 4. Illustration of test system

下载: 全尺寸图片幻灯片

图 5 不同间距时主裂纹扩展情况

Figure 5. Propagation patterns of main cracks with different spacings

下载: 全尺寸图片幻灯片

图 6 试件中CPG记录的电压信号及其导数

Figure 6. CPG recorded voltage signal and its derivative

下载: 全尺寸图片幻灯片

图 7 由CPG测试的主裂纹扩展速度

Figure 7. CPG measured velocity of main crack propagation

下载: 全尺寸图片幻灯片

图 8 数值模型示意图

Figure 8. Simulation model

下载: 全尺寸图片幻灯片

图 9 平行裂纹不同间距时主裂纹扩展的数值模拟结果

Figure 9. Simulation results for specimens with different distances between parallel cracks

下载: 全尺寸图片幻灯片

图 10 全过程压力分布的数值模拟结果

Figure 10. Pressure distribution in numerical simulation

下载: 全尺寸图片幻灯片

图 11 质点速度矢量和σ_y分布（正为拉应力，负为压应力）

Figure 11. Distribution of particle velocity vector and σ_y (positive: tensile stress, negative: compressive stress)

下载: 全尺寸图片幻灯片

图 12 观测点应力曲线和不同间距下y方向最大压应力

Figure 12. Stress curves of target points and maximum compressive stress in y direction of different spacing

下载: 全尺寸图片幻灯片

图 13 P波传播示意图

Figure 13. Illustration of P-wave propagation

下载: 全尺寸图片幻灯片

参考文献(26)

[1]	ZHU Z M, XIE H P, MOHANTY B. Numerical of blasting-induced damage in cylindrical rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(2): 111–121. DOI: 10.1016/j.ijrmms.2007.04.012.
[2]	ZHU Z M. Numerical prediction of crater blasting and bench blasting [J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(6): 1088–1096. DOI: 10.1016/j.ijrmms.2009.05.009.
[3]	FOURNEY W L, DICK R D, SIMHA K R Y. Model study of crater blasting [J]. Rock Mechanics and Rock Engineering, 1988, 21(3): 183–205. DOI: 10.1007/BF01032579.
[4]	LI M, ZHU Z M, LIU R F, et al. Study of the effect of empty holes on propagating cracks under blasting loads [J]. International Journal of Rock Mechanics and Mining Sciences, 2018, 103: 186–194. DOI: 10.1016/j.ijrmms.2018.01.043.
[5]	LIU C, YANG J, YU B. Rock-breaking mechanism and experimental analysis of confined blasting of borehole surrounding rock [J]. International Journal of Mining Science and Technology, 2017, 27(5): 795–801. DOI: 10.1016/j.ijmst.2017.07.016.
[6]	LI C R, KANG L J, QI Q X, et al. The numerical analysis of borehole blasting and application in coal mine roof-weaken [J]. Procedia Earth and Planetary Science, 2009, 1(1): 451–459. DOI: 10.1016/j.proeps.2009.09.072.
[7]	YILMAZ O, UNLU T. Three dimensional numerical rock damage analysis under blasting load [J]. Tunnelling and Underground Space Technology Incorporating Trenchless Technology Research, 2013, 38(9): 266–278. DOI: 10.1016/j.tust.2013.07.007.
[8]	岳中文, 杨仁树. 爆炸载荷下裂纹扩展方向预测的研究 [J]. 实验力学, 2010, 25(4): 408–414. DOI: 1001-4888(2010)04-0408-07. YUE Zhongwen, YANG Renshu. Study of crack propagation direction prediction of explosion loading [J]. Journal of Experimental Mechanics, 2010, 25(4): 408–414. DOI: 1001-4888(2010)04-0408-07.
[9]	刘瑞峰, 朱哲明, 李盟, 等. 爆炸载荷下Ⅰ型裂纹的起裂及扩展规律研究 [J]. 岩石力学与工程学报, 2018, 37(2): 392–402. DOI: 10.13722/j.cnki.jrme.2017.1126. LIU Ruifeng, ZHU Zheming, LI Meng, et al. Initiation and propagation of mode I crack under blasting [J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(2): 392–402. DOI: 10.13722/j.cnki.jrme.2017.1126.
[10]	杨仁树, 岳中文, 肖同社, 等. 节理介质断裂控制爆破裂纹扩展的动焦散试验研究 [J]. 岩石力学与工程学报, 2008, 27(2): 244–250. DOI: 10.3321/j.issn:1000-6915.2008.02.003. YANG Renshu, YUE Zhongwen, XIAO Tongshe, et al. Dynamic caustics experiment on crack propagation of jointed medium fracture with controlled blasting [J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(2): 244–250. DOI: 10.3321/j.issn:1000-6915.2008.02.003.
[11]	岳中文, 郭洋, 王煦. 切槽孔爆炸载荷下裂纹扩展行为的实验研究 [J]. 岩石力学与工程学报, 2015, 34(10): 2018–2026. DOI: 10.13722/j.cnki.jrme.2015.0497. YUE Zhongwen, GUO Yang, WANG Xu. Experimental study of crack propagation under blasting load in notched boreholes [J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(10): 2018–2026. DOI: 10.13722/j.cnki.jrme.2015.0497.
[12]	ZHU Z M, MOHANTY B, XIE H P. Numerical investigation of blasting-induced crack initiation and propagation in rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(3): 412–424. DOI: 10.1016/j.ijrmms.2006.09.002.
[13]	朱哲明, 李元鑫, 周志荣, 等. 爆炸荷载下缺陷岩体的动态响应 [J]. 岩石力学与工程学报, 2011, 30(6): 1157–1167. DOI: 1000-6915(2011)06-1157-11. ZHU Zheming, LI Yuanxin, ZHOU Zhirong, et al. Dynamic response of defected rock under blasting load [J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(6): 1157–1167. DOI: 1000-6915(2011)06-1157-11.
[14]	WANG Z L, KONIETZKY H, SHEN R F. Coupled finite element and discrete element method for underground blast in faulted rock masses [J]. Soil Dynamics and Earthquake Engineering, 2009, 29(6): 939–945. DOI: 10.1016/j.soildyn.2008.11.002.
[15]	YI C, JOHANSSON D, GREBERG J. Effects of in-situ stresses on the fracturing of rock by blasting [J]. Computers and Geotechnics, 2018, 104: 321–330. DOI: 10.1016/j.compgeo.2017.12.004.
[16]	张玉柱, 卢文波, 陈明, 等. 爆炸应力波驱动的岩石开裂机制 [J]. 岩石力学与工程学报, 2014, 33(S1): 3144–3149. DOI: 1000-6915(2014)S1-3144-06. ZHANG Yuzhu, LU Wenbo, CHEN Ming, et al. Rock cracking mechanism driven by explosive stress wave [J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(S1): 3144–3149. DOI: 1000-6915(2014)S1-3144-06.
[17]	钟波波, 李宏, 张永彬. 爆炸荷载作用下岩石动态裂纹扩展的数值模拟 [J]. 爆炸与冲击, 2016, 36(8): 825–831. DOI: 10.11883/1001-1455(2016)06-0825-07. ZHONG Bobo, LI Hong, ZHANG Yongbin. Numerical simulation of dynamic cracks propagation of rock under blasting loading [J]. Explosion and Shock Waves, 2016, 36(8): 825–831. DOI: 10.11883/1001-1455(2016)06-0825-07.
[18]	YU L, SU H, JING H, et al. Experimental study of the mechanical behavior of sandstone affected by blasting [J]. International Journal of Rock Mechanics and Mining Sciences, 2017, 93: 234–241. DOI: 10.1016/j.ijrmms.2017.02.002.
[19]	HE C, YANG J, YU Q. Laboratory study on the dynamic response of rock under blast loading with active confining pressure [J]. International Journal of Rock Mechanics and Mining Sciences, 2018, 102: 101–108. DOI: 10.1016/j.ijrmms.2018.01.011.
[20]	朱振海. 爆炸应力波对高速扩展裂纹影响的动态光弹性试验研究 [J]. 爆炸与冲击, 1993, 13(2): 178–185. ZHU Zhenhai. Dynamic photoelastic investigations of the effect of explosive stress waves on an extending-high speed crack [J]. Explosion and Shock Waves, 1993, 13(2): 178–185.
[21]	杨仁树, 陈程, 岳中文, 等. 正入射爆炸应力波与运动裂纹作用的动态光弹性实验研究 [J]. 煤炭学报, 2018, 43(1): 87–94. DOI: 10.13225/j.cnki.jccs.2017.0353. YANG Renshu, CHEN Cheng, YUE Zhongwen, et al. Dynamic photoelastic investigation of interaction of normal incidence blasting stress waves with running cracks [J]. Journal of China Coal Society, 2018, 43(1): 87–94. DOI: 10.13225/j.cnki.jccs.2017.0353.
[22]	郭东明, 闫鹏洋, 杨仁树, 等. 爆破开挖中巷道围岩缺陷扩展的动焦散模型试验研究 [J]. 采矿与安全工程学报, 2015, 32(5): 728–734. DOI: 10.13545/j.cnki.jmse.2015.05.005. GUO Dongming, YAN Pengyang, YANG Renshu, et al. Dynamic caustic model experimental study on the defects extension of roadway surrounding rock when blasting excavation [J]. Journal of Mining and Safety Engneering, 2015, 32(5): 728–734. DOI: 10.13545/j.cnki.jmse.2015.05.005.
[23]	肖同社, 杨仁树, 边亚东, 等. 含节理岩体爆生裂纹扩展的动焦散模型实验研究 [J]. 实验力学, 2006, 21(4): 539–545. DOI: 10.3969/j.issn.1001-4888.2006.04.020. XIAO Tongshe, YANG Renshu, BIAN Yadong, et al. Dynamic caustics mode experiment of blasting crack propagating on joint rock [J]. Journal of Experimental Mechanics, 2006, 21(4): 539–545. DOI: 10.3969/j.issn.1001-4888.2006.04.020.
[24]	RAVI-CHANDAR K, KNAUSS W G. An experimental investigation into dynamic fracture: on the interaction of stress waves with propagating cracks [J]. International Journal of Fracture, 1984, 26(3): 189–200. DOI: 10.1007/BF01140627.
[25]	胡荣, 朱哲明, 胡哲源, 等. 爆炸动载荷下裂纹扩展规律的实验研究 [J]. 岩石力学与工程学报, 2013, 32(7): 1476–1481. DOI: 10.3969/j.issn.1000-6915.2013.07.024. HU Rong, ZHU Zheming, HU Zheyuan, et al. Experimental study of regularity of crack propagation under blasting dynamic loads [J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(7): 1476–1481. DOI: 10.3969/j.issn.1000-6915.2013.07.024.
[26]	褚怀保, 杨小林, 侯爱军, 等. 煤体中爆炸应力波传播与衰减规律模拟实验研究 [J]. 爆炸与冲击, 2012, 32(2): 244–250. DOI: 10.11883/1001-1455(2012)02-0185-05. CHU Huaibao, YANG Xiaolin, HOU Aijun, et al. A simulation-based experimental study on explosion stress wave propagation and attenuation in coal [J]. Explosion and Shock Waves, 2012, 32(2): 244–250. DOI: 10.11883/1001-1455(2012)02-0185-05.

施引文献

期刊类型引用(3)

1.	史亚辉，杨璞，邓志方，谢若泽，陈军红，郭历伦，李继承. 螺栓连接结构冲击载荷传递特性及冲击响应行为研究进展综述. 包装工程. 2024(19): 1-28 . 百度学术
2.	宋凯，欧阳永杰，方志泓，霍俊宏，崔西明. 飞机高锁螺栓孔边缺陷阵列远场涡流传感器仿真与试验. 航空学报. 2022(05): 580-591 . 百度学术
3.	杨威，崔俊佳，张旭，李光耀，蒋浩. 基于钉杆变形均匀性的锥形半圆头铆钉优化设计研究. 精密成形工程. 2021(04): 85-91 . 百度学术