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| Numerical simulation of double-hole crack propagation under explosion load |
| PU Chuanjin1,2, YANG Xin3, XIAO Dingjun1,2, CHENG Jianlong3, ZHOU Lei4, CHEN Xu |
1.School of Environment and Resource, Southwest University of Science and Technology, Mianyang 621000, China;
2.Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province, Mianyang 621000, China;
3.State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, China;
4.Key Laboratory of Deep Underground Science and Engineering (Ministry of Education),College of Architecture and Environment, Sichuan University, Chengdu 610065, China |
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Abstract To investigate the law of blasting crack propagation of double-borehole, taking polymethyl methacrylate (PMMA) as simulation medium, the finite difference software Autodyn was used to simulate the blasting crack propagation of double-borehole with no guide hole, ordinary guide hole (empty hole) and groove guide hole at different length L between double boreholes (L = 7, 9, 11, 13, and 15 cm), respectively. The linear equation of state (EOS) and Johnson-Holmquist (JH-2) constitutive model were employed to describe the volumetric pressure and deviatoric stress, simultaneously, the tensile fracture softening model was also introduced to depict crack propagation results. For the validation of material model and the physical parameters applied for PMMA, firstly, the simulation of crack propagation with single borehole was carried out. The result reproduced the crushed and fractured zones, radial and circular cracks, crack initiation, propagation, bifurcation, and arrest as well as secondary propagation behavior, which had successfully verified the applicability of the models the physical parameters in PMMA. The simulation results of double-hole blasting crack propagation show that the L is the most important factor affecting the crack penetration in the case of no guide hole, and the penetration mode is mutually active penetration of tensile cracks. The guide effects of the ordinary and grooved guide holes are reflected in the stress concentration and the reduction of the crack penetration distance. When the borehole length L is a constant, to some extent, the size effect of ordinary guide hole is favorable to crack penetration. In terms of the results of crack directional propagation, the guide effect of grooved guide hole is the strongest, followed by the ordinary guide hole and no guide hole shows the worst guide effect. Crack penetration mechanism is embodied in three aspects, i.e., penetration position, penetrated crack type and penetration mode.
Key words: Crack propagation; Numerical simulation; Penetration mechanism; Size effect of empty hole; Grooved guide hole
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Received: 13 April 2021
Published: 15 August 2022
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[1] 蒲传金, 郭学彬, 张志呈, 等. 切缝药包爆破机理分析与试验研究[J]. 爆破, 2006, 23(1): 33-35.
PU Chuanjin, GUO Xuebin, ZHANG Zhicheng, et al. Mechanism analysis of cutting seam cartridge blasting[J]. Blasting, 2006, 23(1): 33-35.
[2] 杨仁树, 王雁冰. 切缝药包不耦合装药爆破爆生裂纹动态断裂效应的试验研究[J]. 岩石力学与工程学报, 2013, 32(7): 1337-1343.
YANG Renshu, WANG Yanbing. Experimental study of dynamic fracture effect of blasting crack in slotted cartridge decoupling charge blasting[J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(7): 1337-1343.
[3] L.Y. Yang, C. Huang, S.J. Bao, et al. Model experimental study on controlled blasting of slit charge in deep rock mass[J]. Soil Dynamics and Earthquake Engineering, 2020, 138: 106318.
[4] 程兵, 汪海波, 宗琦. 基于SPH⁃FEM 耦合法切缝药包爆破机理数值模拟[J]. 含能材料, 2020, 28(4): 300-307.
CHENG Bing, WANG Haibo, ZONG Qi. Numerical simulation on blasting mechanism of slotted cartridge based on coupled SPH⁃FEM algorithm[J]. Chinese Journal of Energetic Materials, 2020, 28(4): 300-307.
[5] B. Mohanty. Explosion generated fractures in rock and rock-like materials[J]. Engineering Fracture Mechanics, 1990, 35: 889-898.
[6] 李清, 王平虎, 杨仁树, 等. 切槽孔爆破动态力学特征的动焦散线实验[J]. 爆炸与冲击, 2009, 29(4): 413-418.
LI Qing, WANG Pinghu, YANG Renshu, et al. Experimental investigation on dynamic mechanical behaviors of cracks induced by V-notch borehole blasting with dynamic caustics[J]. Explosion and Shock Waves, 2009, 29(4): 413-418.
[7] 杨仁树, 王雁冰, 杨立云, 等. 双孔切槽爆破裂纹扩展的动焦散实验[J]. 中国矿业大学学报, 2012, 41(6): 868-872.
YANG Renshu, WANG Yanbing, YANG Liyun, et al. Dynamic caustic experimental study of crack propagation in two borehole cut blasting[J]. Journal of China University of Mining and Technology, 2012, 41(6): 868-872.
[8] 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.
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.
[9] 岳中文, 郭洋, 许鹏, 等. 定向断裂控制爆破的空孔效应实验分析[J]. 爆炸与冲击, 2015, 35(3): 304-311.
YUE Zhongwen, GUO Yang, XU Peng, et al. Analysis of empty hole effect in directional fracture controlled blasting[J]. Explosion and Shock Waves, 2015, 35(3): 304-311.
[10] 张召冉, 左进京, 郭义先. 爆炸载荷下空孔缺陷与爆生裂纹扩展行为研究[J]. 振动与冲击, 2020, 39(3): 111-119.
ZHANG Zhaoran, ZUO Jinjing, GUO Yixian. Crack propagation behavior of empty hole defects under blast load[J]. Journal of Vibration and Shock, 2020, 39(3): 111-119.
[11] 左进京, 陈帅志, 林海, 等. 爆炸载荷作用下空孔应力集中区的特性分析[J]. 煤炭技术, 2018, 37(9): 17-19.
ZUO Jinjing, CHEN Shuaizhi, LIN Hai, et al. Characteristic analysis of empty hole stress concentration under explosion loading[J]. Coal Technology, 2018, 37(9): 17-19.
[12] 黄涛, 陈鹏万, 张国新, 等. 岩石双孔爆破过程的流形元法模拟[J]. 爆炸与冲击, 2006, 26(5): 434-440.
HUANG Tao, CHEN Pengwan, ZHANG Guoxin, et al. Numerical simulation of two-hole blasting using numerical manifold method[J]. Explosion and Shock Waves, 2006, 26(5): 434-440.
[13] 白羽, 朱万成, 魏晨慧, 等. 不同地应力条件下双孔爆破的数值模拟[J]. 岩土力学, 2013, 34(增1): 466-471.
BAI Yu, ZHU Wancheng, WEI Chenhui, et al. Numerical simulation on two-hole blasting under different in-situ stress conditions[J]. Rock and Soil Mechanics, 2013,34(Suppl.1): 466-471.
[14] 魏晨慧, 朱万成, 白羽, 等. 不同节理角度和地应力条件下岩石双孔爆破的数值模拟[J]. 力学学报, 2016, 48(4): 926-935.
WEI Chenhui, ZHU Wancheng, BAI Yu, et al. Numerical simulation on two-hole blasting of rock under different joint angles and in-situ stress conditions[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(4): 926-935.
[15] 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(6): 825-831.
ZHANG Bobo, LI Hong, ZHANG Yongbin.. Numerical simulation of dynamic cracks propagation of rock under blasting loading[J]. Explosion and Shock Waves, 2016, 36(6): 825-831.
[16] 戴俊, 李传净, 陈哲浩, 等. 光面爆破相邻炮孔裂纹扩展模拟[J]. 科学技术与工程, 2017, 17(18): 193-197.
DAI Jun, LI Chuanjing, CHEN Zhehao, et al. Simulation of crack growth in adjacent blasting holes of smooth blasting[J]. Science Technology and Engineering, 2017, 17(18): 193-197.
[17] 杨建华, 孙文彬, 姚池, 等. 高地应力岩体多孔爆破破岩机制[J]. 爆炸与冲击, 2020, 40(7): 075202.
YANG Jianhua, SUN Wenbin, YAO Chi, et al. Mechanism of rock fragmentation by multi-hole blasting in highly-stressed rock masses[J]. Explosion and Shock Waves, 2020, 40(7): 075202.
[18] 魏炯, 朱万成, 魏晨慧, 等. 导向孔对两爆破孔间成缝过程影响的数值模拟[J]. 工程力学, 2013, 30(5): 335-339.
WEI Jiong, ZHU Wancheng, WEI Chenhui, et al. Numerical simulation on contribution of guide-hole to crack coalescence of two boreholes[J]. Engineering Mechanics, 2013, 30(5): 335-339.
[19] 李洪伟, 雷战, 江向阳, 等. 不同炮孔间距对岩石爆炸裂纹扩展影响的数值分析[J]. 高压物理学报, 2019, 33(4): 044103.
LI Hongwei, LEI Zhan, JIANG Xiangyang, et al. Numerical analysis of impact of shot hole spacing on crack growth in rock[J]. Chinese Journal of High Pressure Physics, 2019, 33(4): 044103.
[20] G.W. Ma, X.M. An. Numerical simulation of blasting-induced rock fractures[J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45: 966-975.
[21] M.M.D. Banadaki, B. Mohanty. Numerical simulation of stress wave induced fractures in rock[J]. International Journal of Impact Engineering, 2012, 40-41: 16-25.
[22] 杨仁树, 王雁冰, 岳中文, 等. 定向断裂双孔爆破裂纹扩展的动态行为[J]. 爆炸与冲击, 2013, 33(6): 631-637.
YANG Renshu, WANG Yanbing, YUE Zhongwen, et al. Dynamic behaviors of crack propagation in directional fracture blasting with two holes[J]. Explosion and Shock Waves, 2013, 33(6): 631-637.
[23] X. Yang, X.G. Zeng, C.J. Pu, et al. Effect of the preexisting fissure with different fillings in PMMA on blast-induced crack propagation[J]. Advances in Materials Science and Engineering, 2018: 7378282.
[24] X.P. Zhou, L. Fu, W. Ju, et al. An experimental study of the mechanical and fracturing behavior in PMMA specimen containing multiple 3D embedded flaws under uniaxial compression. Theoretical and Applied Fracture Mechanics, 2019, 101: 207-216.
[25] S. Liu, Y.J. Chao, X.K. Zhu. Tensile-shear transition in mixed mode I/III fracture. International Journal of Solids and Structures, 2004, 41: 6147-6172.
[26] Century Dynamics Inc. AUTODYN Theory Manual. Concord, California, 2003.
[27] M.M.D. Banadaki. Stress-wave induced fracture in rock due to explosive action[PhD. thesis]. University of Toronto, 2010.
[28] Z.M. Zhu, B. Mohanty, H.P. Xie. Numerical investigation of blasting-induced crack initiation and propagation in rocks. International Journal of Rock Mechanics & Mining Sciences, 2007, 44: 412-424.
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