岩石爆破损伤范围及损伤分布特征模拟分析
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摘要
为了研究岩石爆破损伤范围及损伤分布规律,基于LS-DYNA软件,采用HJC(Holmquist-Johnson-Cook)材料模型,探究了石灰岩爆破损伤范围随径向不耦合系数K增大的变化关系,接着对比分析了石灰岩、凝灰岩和花岗斑岩的爆破损伤分布规律,并用Logistic函数模型对损伤演化过程进行表征。结果表明:HJC模型在岩石爆破损伤模拟中具有很好的适用性;随着不耦合系数的增大,损伤半径与炮孔半径之比呈先快后慢的减小趋势;不同岩石的爆破损伤均呈反"S"形曲线衰减,但损伤分布特征存在一定差异性,石灰岩和凝灰岩的压碎区范围较大,与裂隙区界线清晰,而花岗斑岩压碎区范围较小,与裂隙区界线不明显。研究结果可为实际工程中爆破损伤的评估与控制提供一定参考。
In order to study the scope and distribution law of rock damage induced by blasting,using the Holmquist-Johnson-Cook model based on the LS-DYNA software,this study focuses on the variation of the blast damage scope of the limestone with the increase of a radial uncoupling coefficient K,and then the distribution law of damage under the condition of coupling charge is comparatively analyzed for the limestone,tuff and granite porphyry,and the damage evolution is further characterized by the Logistic function model. The simulation results show that the HJC constitutive model is capable of characterizing the blast-induced damage during the numerical simulation. The ratio of damage radius to bore-hole radius decreases fast first and then slowly with the increase of the radial uncoupling coefficient. The damage curves of different rocks all show an inverted-S attenuation,but there are some differences in the damage distribution characteristics. The crushing zones of the limestone and tuff are larger and the corresponding boundary between the crushing zone and the cracking zone is obvious,while the crushing zone of the granite porphyry becomes smaller and the corresponding boundary is indistinct. The research results can provide some technical references for the assessment and control of blast-induced damage in practical engineering.
In order to study the scope and distribution law of rock damage induced by blasting,using the Holmquist-Johnson-Cook model based on the LS-DYNA software,this study focuses on the variation of the blast damage scope of the limestone with the increase of a radial uncoupling coefficient K,and then the distribution law of damage under the condition of coupling charge is comparatively analyzed for the limestone,tuff and granite porphyry,and the damage evolution is further characterized by the Logistic function model. The simulation results show that the HJC constitutive model is capable of characterizing the blast-induced damage during the numerical simulation. The ratio of damage radius to bore-hole radius decreases fast first and then slowly with the increase of the radial uncoupling coefficient. The damage curves of different rocks all show an inverted-S attenuation,but there are some differences in the damage distribution characteristics. The crushing zones of the limestone and tuff are larger and the corresponding boundary between the crushing zone and the cracking zone is obvious,while the crushing zone of the granite porphyry becomes smaller and the corresponding boundary is indistinct. The research results can provide some technical references for the assessment and control of blast-induced damage in practical engineering.
引文
[1]王玉杰.爆破工程[M].武汉:武汉理工大学出版社,2007:142-146.(WANG Yujie. Blasting engineering[M]. Wuhan:Wuhan University of Technology Press,2007:142-146.(in Chinese))
[2]左双英,肖明,续建科,等.隧道爆破开挖围岩动力损伤效应数值模拟[J].岩土力学,2011,32(10):3171-3176.(ZUO Shuangying,XIAO Ming,XU Jianke,et al. Numerical simulation of dynamic effect of surrounding rocks for tunnels by blasting excavation[J]. Rock and Soil Mechanics,2011,32(10):3171-3176.(in Chinese))
[3]周燕,叶海旺,易长平,等.台阶爆破相邻炮孔间损伤范围的数值模拟[J].工程爆破,2014,20(2):17-20.(ZHOU Yan,YE Haiwang,YI Changping,et al. Numerical simulation of damage zone between the adjacent boreholes in bench blasting[J]. Engineering Blasting,2014,20(2):17-20.(in Chinese))
[4]胡英国,卢文波,金旭浩,等.岩石高边坡开挖爆破动力损伤的数值仿真[J].岩石力学与工程学报,2012,31(11):2204-2213.(HU Yingguo,LU Wenbo,JIN Xuhao,et al. Numerical simulation for excavation blasting dynamic damage of rock high slope[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(11):2204-2213.(in Chinese))
[5]杨建华,卢文波,胡英国,等.隧洞开挖重复爆炸荷载作用下围岩累计损伤特性[J].岩土力学,2014,35(2):511-518.(YANG Jianhua,LU Wenbo,HU Yingguo,et al. Accumulated damage in surrounding rocks due to repeated blasting loads during blasting excavation of tunnels[J]. Rock and Soil Mechanics,2014,35(2):511-518.(in Chinese))
[6] YU L Y,SU H J,LIU R C,et al. Experimental study of the influence of loading rate on tensile mechanical behavior of sandstone damaged by blasting[J]. International Journal of Rock Mechanics and Mining Sciences,2017,93:234-241.
[7]戴俊.柱状装药爆破的岩石压碎圈与裂隙圈计算[J].辽宁工程技术大学学报,2001,20(2):144-147.(DAI Jun.Calculation of rock crushed circle and fracture circle by column charge blasting[J]. Journal of Liaoning Technical University,2001,20(2):144-147.(in Chinese))
[8] ESEN S,ONEDERRA I,BILGIN H A. Modelling the size of the crushed zone around a blast-hole[J]. International Journal of Rock Mechanics and Mining Sciences,2003,40(4):485-495.
[9] SIM Y,CHO G C,SONG K I. Prediction of fragmentation zone induced by blasting in rock[J]. Rock Mechanics and Rock Engineering,2017,50(8):2177-2192.
[10] HOLMQUIST T J,JOHNSON G R,COOK W H. A computational constitutive model for concrete subjective to large strain,high strain rates,and high pressure[C]∥1thInternational Symposium on Ballistic,Quebec City,Canada,1993:591-600.
[11]方秦,孔祥振,吴昊,等.岩石Holmquist-Johnson-Cook模型参数的确定方法[J].工程力学,2014,31(3):197-204.(FANG Qin,KONG Xiangzhen,WU Hao,et al. Determination of Holmquist-Johnson-Cook constitutive model parameters of rock[J]. Engineering Mechanics,2014,31(3):197-204.(in Chinese))
[12]闻磊,李夕兵,吴秋红,等.花岗斑岩Holmquist-Johnson-Cook本构模型参数研究[J].计算力学学报,2016,33(5):725-731.(WEN Lei,LI Xibing,WU Qiuhong,et al. Parametric study on Holmquist-Johnson-Cook constitutive model of granite porphyry[J]. Chinese Journal of Computational Mechanics,2016,33(5):725-731.(in Chinese))
[13]夏祥,李海波,李俊如,等.岩体爆生裂纹的数值模拟[J].岩土力学,2006,27(11):1987-1991.(XIA Xiang,LI Haibo,LI Junru,et al. Numerical simulation of blast-induced cracks in rocks[J]. Rock and Soil Mechanics,2006,27(11):1987-1991.(in Chinese))
[14]郭文章,王树仁,张奇.节理岩体爆破的破裂规律分析[J].振动与冲击,1999,18(2):30-34.(GUO Wenzhang,WANG Shuren,ZHANG Qi. Analysis of crack of jointed rock mass by blasting[J]. Journal of Vibration and Shock,1999,18(2):30-34.(in Chinese))
[15]林秀英.岩体爆破效应的测定与预测方法[J].西南工学院学报,2000,15(3):53-56.(LIN Xiuying. Determination and prediction of blasting effect of rock mass[J]. Journal of Southwest Institute of Technology,2000,15(3):53-56.(in Chinese))
[16]哈努卡耶夫A H.矿岩爆破物理过程[M].刘殿中,译.北京:冶金工业出版社,1980:1-25.(XAHYKAEB A H. The physical process of rock blasting[M]. Translated by LIU Dianzhong. Beijing:Metallurgical Industry Press,1980:1-25.(in Chinese))
[17] DONZF V,BOUCHEZ J,MAGNIER S A. Modeling fractures in rock blasting[J]. International Journal of Rock Mechanics and Mining Sciences,1997,34(8):1153-1163.
[18]戴俊.岩石动力学特性与爆破理论[M]. 2版.北京:冶金工业出版社,2013:143-148.(DAI Jun. Dynamic behaviors and blasting theory of rock[M]. 2nd ed. Beijing:Metallurgical Industry Press,2013:143-148.(in Chinese))
[19]陈哲浩.岩石中相邻炮孔爆破裂缝演化研究[D].西安:西安科技大学,2016:39-42.(CHEN Zhehao. Study on the blasting crack evolution of adjacent boreholes in rock[D]. Xi’an:Xi’an University of Science and Technology,2016:39-42.(in Chinese))
[20] FAKHIMI A,LANARI M. DEM-SPH simulation of rock blasting[J]. Computers and Geotechnics,2014,55(2):158-164.
[2]左双英,肖明,续建科,等.隧道爆破开挖围岩动力损伤效应数值模拟[J].岩土力学,2011,32(10):3171-3176.(ZUO Shuangying,XIAO Ming,XU Jianke,et al. Numerical simulation of dynamic effect of surrounding rocks for tunnels by blasting excavation[J]. Rock and Soil Mechanics,2011,32(10):3171-3176.(in Chinese))
[3]周燕,叶海旺,易长平,等.台阶爆破相邻炮孔间损伤范围的数值模拟[J].工程爆破,2014,20(2):17-20.(ZHOU Yan,YE Haiwang,YI Changping,et al. Numerical simulation of damage zone between the adjacent boreholes in bench blasting[J]. Engineering Blasting,2014,20(2):17-20.(in Chinese))
[4]胡英国,卢文波,金旭浩,等.岩石高边坡开挖爆破动力损伤的数值仿真[J].岩石力学与工程学报,2012,31(11):2204-2213.(HU Yingguo,LU Wenbo,JIN Xuhao,et al. Numerical simulation for excavation blasting dynamic damage of rock high slope[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(11):2204-2213.(in Chinese))
[5]杨建华,卢文波,胡英国,等.隧洞开挖重复爆炸荷载作用下围岩累计损伤特性[J].岩土力学,2014,35(2):511-518.(YANG Jianhua,LU Wenbo,HU Yingguo,et al. Accumulated damage in surrounding rocks due to repeated blasting loads during blasting excavation of tunnels[J]. Rock and Soil Mechanics,2014,35(2):511-518.(in Chinese))
[6] YU L Y,SU H J,LIU R C,et al. Experimental study of the influence of loading rate on tensile mechanical behavior of sandstone damaged by blasting[J]. International Journal of Rock Mechanics and Mining Sciences,2017,93:234-241.
[7]戴俊.柱状装药爆破的岩石压碎圈与裂隙圈计算[J].辽宁工程技术大学学报,2001,20(2):144-147.(DAI Jun.Calculation of rock crushed circle and fracture circle by column charge blasting[J]. Journal of Liaoning Technical University,2001,20(2):144-147.(in Chinese))
[8] ESEN S,ONEDERRA I,BILGIN H A. Modelling the size of the crushed zone around a blast-hole[J]. International Journal of Rock Mechanics and Mining Sciences,2003,40(4):485-495.
[9] SIM Y,CHO G C,SONG K I. Prediction of fragmentation zone induced by blasting in rock[J]. Rock Mechanics and Rock Engineering,2017,50(8):2177-2192.
[10] HOLMQUIST T J,JOHNSON G R,COOK W H. A computational constitutive model for concrete subjective to large strain,high strain rates,and high pressure[C]∥1thInternational Symposium on Ballistic,Quebec City,Canada,1993:591-600.
[11]方秦,孔祥振,吴昊,等.岩石Holmquist-Johnson-Cook模型参数的确定方法[J].工程力学,2014,31(3):197-204.(FANG Qin,KONG Xiangzhen,WU Hao,et al. Determination of Holmquist-Johnson-Cook constitutive model parameters of rock[J]. Engineering Mechanics,2014,31(3):197-204.(in Chinese))
[12]闻磊,李夕兵,吴秋红,等.花岗斑岩Holmquist-Johnson-Cook本构模型参数研究[J].计算力学学报,2016,33(5):725-731.(WEN Lei,LI Xibing,WU Qiuhong,et al. Parametric study on Holmquist-Johnson-Cook constitutive model of granite porphyry[J]. Chinese Journal of Computational Mechanics,2016,33(5):725-731.(in Chinese))
[13]夏祥,李海波,李俊如,等.岩体爆生裂纹的数值模拟[J].岩土力学,2006,27(11):1987-1991.(XIA Xiang,LI Haibo,LI Junru,et al. Numerical simulation of blast-induced cracks in rocks[J]. Rock and Soil Mechanics,2006,27(11):1987-1991.(in Chinese))
[14]郭文章,王树仁,张奇.节理岩体爆破的破裂规律分析[J].振动与冲击,1999,18(2):30-34.(GUO Wenzhang,WANG Shuren,ZHANG Qi. Analysis of crack of jointed rock mass by blasting[J]. Journal of Vibration and Shock,1999,18(2):30-34.(in Chinese))
[15]林秀英.岩体爆破效应的测定与预测方法[J].西南工学院学报,2000,15(3):53-56.(LIN Xiuying. Determination and prediction of blasting effect of rock mass[J]. Journal of Southwest Institute of Technology,2000,15(3):53-56.(in Chinese))
[16]哈努卡耶夫A H.矿岩爆破物理过程[M].刘殿中,译.北京:冶金工业出版社,1980:1-25.(XAHYKAEB A H. The physical process of rock blasting[M]. Translated by LIU Dianzhong. Beijing:Metallurgical Industry Press,1980:1-25.(in Chinese))
[17] DONZF V,BOUCHEZ J,MAGNIER S A. Modeling fractures in rock blasting[J]. International Journal of Rock Mechanics and Mining Sciences,1997,34(8):1153-1163.
[18]戴俊.岩石动力学特性与爆破理论[M]. 2版.北京:冶金工业出版社,2013:143-148.(DAI Jun. Dynamic behaviors and blasting theory of rock[M]. 2nd ed. Beijing:Metallurgical Industry Press,2013:143-148.(in Chinese))
[19]陈哲浩.岩石中相邻炮孔爆破裂缝演化研究[D].西安:西安科技大学,2016:39-42.(CHEN Zhehao. Study on the blasting crack evolution of adjacent boreholes in rock[D]. Xi’an:Xi’an University of Science and Technology,2016:39-42.(in Chinese))
[20] FAKHIMI A,LANARI M. DEM-SPH simulation of rock blasting[J]. Computers and Geotechnics,2014,55(2):158-164.