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| Initiation and propagation of mode I crack under blasting |
| LIU Ruifeng1,2,ZHU Zheming1,2,LI Meng1,2,LIU Bang1,2 |
(1. MOE Key Laboratory Deep Underground Science and Engineering,Sichuan University,Chengdu,Sichuan 610065,China;
2. College of Architecture and Environment,Sichuan University,Chengdu,Sichuan 610065,China) |
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Abstract In order to study the parameters of fracture toughness and the propagation behavior of mode I crack under blasting loads,crack propagation gauges(CPGs) and single internal crack circular disc(SICCD) specimens were first applied in the tests of fracture toughness. The specimens of PMMA and the testing system of oscilloscope and ultra-dynamic strain amplifier were employed. Numerical models were established with the dynamic finite difference code AUTODYN and finite element code ABAQUS. The crack propagation velocity,dynamic initiation toughness,propagation toughness and fracture parameters of mode I crack were obtained through the experimental and numerical methods. The experimental results show that in the process of crack propagation,there is a cusp point on the propagation path and the phenomenon of crack arrest occurs at the cusp point. When the crack restarts to crack again,the speed will increase. CPGs monitor more accurately the propagation behavior of crack. The fracture toughness and other dynamic parameters were obtained with the experimental-numerical methods. The preliminary analysis shows that the dynamic crack arrest toughness is greater than the dynamic initiation toughness and the dynamic propagation toughness under blasting loads.
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[1] 东兆星,刘 刚. 井巷工程[M]. 3版. 徐州:中国矿业大学出版社,2013:84–98.(DONG Zhaoxing,LIU Gang. Roadway engineering[M]. 3rd ed. Xuzhou:China University of Mining and Technology Press,2013:84–98.(in Chinese))
[2] BERGER J R,DALLY J W. An over deterministic approach for measuring KI using strain gauges[J]. Experimental Mechanics,1988,28(2):142–145.
[3] WEI J,ZHAO J H. A two-strain-gage technique for determining mode I stress intensity factor[J]. Theoretical and Applied Fracture Mechanics,1997,28(2):135–140.
[4] 励 争,苏先基,傅 缤. 水泥石动态断裂韧性的实验研究[J]. 力学与实践,1999,21(1):41–43.(LI Zheng,SU Xianji,FU Bin. Determination of dynamic Fracture toughness for cement block[J]. Practice and Mechanics,1999,21(1):41–43.(in Chinese))
[5] ZHANG Q B,ZHAO J. Effect of loading rate on fracture toughness and failure micro mechanisms in marble[J]. Engineering Fracture Mechanics,2013,102(2):288–309.
[6] ZHANG Q B,ZHAO J. Determination of mechanical properties and full-field strain measurements of rock material under dynamic loads[J]. International Journal of Rock Mechanics and Mining Sciences,2013,60(8):423–439.
[7] 王 蒙,朱哲明,王 雄. 冲击荷载作用下的I/II复合型裂纹扩展规律研究[J]. 岩石力学与工程学报,2016,35(7):1 323–1 332. (WANG Meng,ZHU Zheming,WANG Xiong. The growth of mixed-mode I/II under impacting loads[J]. Journal of Rock Mechanics and Engineering,2016,35(7):1 323–1 332.(in Chinese))
[8] WANG Q Z,FENG F,NI M,et al. Measurement of mode I and mode II rock dynamic fracture toughness with cracked straight through flattened Brazilian disc impacted by split Hopkinson pressure bar[J]. Engineering Fracture Mechanics,2011,78(12):2 455–2 469.
[9] 杨井瑞,张财贵,周 妍,等. 用SCDC 试样测试岩石动态断裂韧度的新方法[J]. 岩石力学与工程学报,2015,34(2):279–292.(YANG Jingrui,ZHANG Caigui,ZHOU Yan,et al. A new method for determing dynamic fracture toughness of rock using SCDC specimens[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(2):279–292.(in Chinese))
[10] 倪 敏,苟小平,王启智. 霍普金森杆冲击压缩单裂纹圆孔板的岩石动态断裂韧度试验方法[J]. 工程力学,2013,30(1):365–372.(NI Min,GOU Xiaoping,WANG Qizhi. test method for rock dynamic fracture toughness using single cleavage drilled compression specimen impacted by split Hopkinson pressure bar[J]. Engineering Mechanics,2013,30(1):365–372.(in Chinese))
[11] 李 清,杨仁树,李均雷. 爆炸荷载作用下动态裂纹扩展试验研究[J]. 岩石力学与工程学报,2005,24(16):2 912–2 916.(LI Qing,YANG Renshu,LI Junlei. Experimental study on propagation of dynamic cracks under blasting loading[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(16):2 912–2 916.(in Chinese))
[12] ZHU Z M,XU W T,FENG R Q. A new method for measuring mode-I dynamic fracture toughness of rock under blasting loads[J]. Experimental Techniques,2015,40(3):899–905.
[13] 徐文涛,朱哲明,曾利刚. 爆炸载荷下I型裂纹动态断裂韧度测试方法初探[J]. 岩石力学与工程学报,2015,34(增1):2 767–2 772. (XU Wentao,ZHU Zheming,ZENG Ligang. A new method for measuring mode-i dynamic fracture toughness of rock under blasting loads[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(Supp.1):2 767–2 772.(in Chinese))
[14] BHAT H S,ROSAKIS A J,SAMMIS C G. A micromechanics based constitutive model for brittle failure at high strain rates[J]. Journal of Applied Mechanics,2012,79(3):39–47.
[15] FREUND L B,HUTCHINSON J W. Dynamic fracture mechanics[M]. Cambridge CB2:Cambridge University Press,1990:464–466.
[16] REN X D,LI J. Dynamic fracture in irregularly structured systems[J]. Physical Review E Statistical Nonlinear and Soft Matter Physics, 2012,85(2):55–102.
[17] 张财贵,曹 富,李 炼,等. 采用压缩单裂纹圆孔板确定岩石动态起裂、扩展和止裂韧度[J]. 力学学报,2016,48(3):624–635. (ZHANG Caigui,CAO Fu,LI Lian,et al. Determination of dynamic fracture initiation,propagation,and arrest toughness of rock using SCDC specimen[J]. Chinese Journal of Theoretical and Applied Mechanics,2016,48(3):624–635.(in Chinese))
[18] HU R,ZHU Z M,XIE J,et al. Numerical study on crack propagation by using softening model under blasting[J]. Advances in Materials Science and Engineering,2015,(2015):1–9.
[19] KONOKMAN H E,ÇORUH M M,KAYRAN A. Computational and experimental study of high-speed impact of metallic Taylor cylinders[J]. Acta Mechanica,2011,220(1/4):61–85.
[20] WU C,HAO H. Numerical prediction of rock mass damage due to accidental explosions in an underground ammunition storage chamber[J]. Shock Waves,2006,15(1):43–54.
[21] ZAIDI A M A,KOSLAN M F S,OTHMAN M Z,et al. Appropriate coupling solvers for the numerical simulation of rolled homogeneous armor plate response subjected to blast loading[J]. Advances in Mechanical Engineering,2013,(3):1–12.
[22] ZHU Z M. Numerical prediction of crater blasting and bench blasting[J]. International Journal of Rock Mechanics and Mining Sciences,2009,46(6):1 088–1 096.
[23] ZHU Z M,WANG C,KANG J M,et al. Study on the mechanism of zonal disintegration around an excavation[J]. International Journal of Rock Mechanics and Mining Sciences,2014,67(4):88–95.
[24] 朱哲明,刘 凯,康骥鸣,等. 缓慢卸载P波诱发岩体不连续断裂破坏的可能性研究[J]. 岩石力学与工程学报,2014,33(2):3 948– 3 955.(ZHU Zheming,LIU Kai,KANG Jiming,et al. Study of slowly unloading P-wave causing discrete fracture mechanism[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(2):3 948–3 955. (in Chinese))
[25] 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):1 157–1 167.(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):1 157–1 167.(in Chinese))
[26] WANG M,ZHU Z M,DONG Y Q,et al. Study of mixed-mode I/II fractures using single cleavage semicircle compression specimens under impacting loads[J]. Engineering Fracture Mechanics,2017,177:33–44.
[27] KUTTER H K,FAIRHURST C. On the fracture process in blasting[J]. International Journal of Rock Mechanics and Mining Science,1971,8(3):181–202.
[28] ROSSMANITH H P,DAEHNKE A,NASMILLNER R E K,et al. Fracture mechanics applications to drilling and blasting[J]. Fatigue and Fracture of Engineering Materials and Structures,2010,20(11):1 617–1 636.
[29] 张子健. PMMA树脂的力学性能及热稳定性研究[硕士学位论文][D]. 长春:长春工业大学,2012.(ZHANG Zijia. Study on the mechanical properties and thermal stability of PMMA[M. S. Thesis][D]. Changchun:Changchun University of Technology,2012. (in Chinese))
[30] RAVI-CHANDAR K,KNAUSS W G. An experimental investigation into dynamic fracture:I. Crack initiation and arrest[J]. International Journal of Fracture,1984,25:247–262.
[31] 周 磊,朱哲明,董玉清,等. 中低速冲击载荷下巷道内裂纹的动态响应[J]. 岩石力学与工程学报,2017,36(6):1 363–1 372.(ZHOU Lei,ZHU Zheming,DONG Yuqing,et al. Dynamic response of cracks in tunnels under impact loading of medium-low speed[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(6):1 363–1 372. (in Chinese))
[32] 王 蒙,朱哲明,谢 军. 岩石I-II复合型裂纹动态扩展SHPB实验及数值模拟研究[J]. 岩石力学与工程学报,2015,34(12):2 474– 2 485.(WANG Meng,ZHU Zheming,XIE Jun. Rock SHPB experiments and numerical study of crack propagation under I-II mixed-mode dynamic loading[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(12):2 474–2 485. (in Chinese))
[33] ZHU Z M,BIBHU M,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.
[34] ZHU Z M,XIE H P,BIBHU M. Numerical investigation of blasting-induced damage in cylindrical rocks[J]. International Journal of Rock Mechanics and Mining Sciences,2008,45(2):111–121.
[35] 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):1 476–1 481.(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):1 476–1 481.(in Chinese))
[36] 范天佑. 断裂动力学引论[M]. 北京:北京理工大学出版社,1990:116–123.(FAN Tianyou. An introduction to fracture dynamics[M]. Beijing:Beijing Institute of Technology Press,1990:116–123.(in Chinese))
[37] ROSE L R F. Recent theoretical and experimental results on fast brittle fracture[J]. International Journal of Fracture,1976,12(6):799–813.
[38] RAVI-CHANDAR K. Dynamic fracture[M]. Oxford:Elsevier,2004:168–177. |
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