冲击荷载作用下岩石压动态和拉动态损伤模型
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摘要
根据经典岩石冲击动态损伤模型和统计损伤力学理论,提出冲击荷载加载条件下的岩石压、拉统计损伤本构模型和冲击损伤判据模型。在该损伤模型中,将损伤演化关系分为体积压缩损伤和体积拉伸损伤2种。应用提出的损伤模型和经典动态拉伸损伤模型分别进行爆破损伤数值模拟,并将数值计算结果和现场实测结果进行对比。研究结果表明:与炮孔轴向相比,炮孔径向是爆破破裂延伸的主方向;沿炮孔径向主要发生拉伸破裂,孔底下方主要发生压缩破裂;与基于经典冲击动态拉伸损伤模型的数值计算结果相比,根据损伤模型得到的爆破破裂范围特别是孔底正下方破裂深度与实测值相差不大且最接近实测值,表明所提出的损伤模型是合理的,具有实用性。
An impact-induced damage constitutive model based on classical impact-induced constitutive models and statistic damage mechanics was presented. In the model, damage evolutions were considered to be caused by volume compression and volume tension, respectively, and the presented model considered that compression strength of rock was much bigger than its tension strength. Numerical simulation of blasting was conducted according to the presented model.Results of blasting-induced fracture zone among the numerical simulation based on presented model and those of the blasting numerical simulation based on current tension damage model and actual measurement in field were comparied.The results show that the cardinal extension direction of fracture zone is the radial direction of blast hole rather than the axial direction of blast hole. The tension-induced fracture mainly appears along the radial direction while the compression-induced fracture mainly appears along the axial direction. The blasting-induced fracture zone obtained from the numerical simulation based on the presented model, especially the fracture depth under blast hole, is much closer to the actual measurement result than that obtained from the numerical simulation based on the current dynamic tension damage models. There is little difference between the numerical simulation results based on the presented model and actual measurement, indicating that the presented model is reasonable and useful.
An impact-induced damage constitutive model based on classical impact-induced constitutive models and statistic damage mechanics was presented. In the model, damage evolutions were considered to be caused by volume compression and volume tension, respectively, and the presented model considered that compression strength of rock was much bigger than its tension strength. Numerical simulation of blasting was conducted according to the presented model.Results of blasting-induced fracture zone among the numerical simulation based on presented model and those of the blasting numerical simulation based on current tension damage model and actual measurement in field were comparied.The results show that the cardinal extension direction of fracture zone is the radial direction of blast hole rather than the axial direction of blast hole. The tension-induced fracture mainly appears along the radial direction while the compression-induced fracture mainly appears along the axial direction. The blasting-induced fracture zone obtained from the numerical simulation based on the presented model, especially the fracture depth under blast hole, is much closer to the actual measurement result than that obtained from the numerical simulation based on the current dynamic tension damage models. There is little difference between the numerical simulation results based on the presented model and actual measurement, indicating that the presented model is reasonable and useful.
引文
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[17]曹文贵,李翔.岩石损伤软化统计本构模型及参数确定方法的新探讨[J].岩土力学,2008,29(11):2952-2956.CAO Wengui,LI Xiang.A new discussion on damage softening statistical constitutive model for rocks and method for determining its parameters[J].Rock and Soil Mechanics,2008,29(11):2952-2956.
[18]曹文贵,杨尚,张超.考虑弹性模量变化的岩石统计损伤本构模型[J].水文地质工程地质,2017,44(3):42-48.CAO Wengui,YANG Shang,ZHANG Chao.A statistical damage constitutive model of rocks considering the variation of the elastic modulus[J].Hydrogeology and Engineering Geology,2017,44(3):42-48.
[19]杨圣奇,徐卫亚,韦立德,等.单轴压缩下岩石损伤统计本构模型与试验研究[J].河海大学学报(自然科学版),2004,32(2):200-203.YANG Shengqi,XU Weiya,WEI Lide,et al.Statistical constitutive model for rock damage under uniaxial compression and its experimental study[J].Journal of Hohai University(Natural Sciences),2004,32(2):200-203.
[20]韦立德,杨春和,徐卫亚.考虑体积塑性应变的岩石损伤本构模型研究[J].工程力学,2006,23(1):139-143.WEI Lide,YANG Chunhe,XU Weiya.A damage constitutive model for rock with plastic volume strain[J].Engineering Mechanics,2006,23(1):139-143.
[21]李新平,陈俊桦,李友华,等.溪洛渡电站地下厂房爆破损伤范围及判据研究[J].岩石力学与工程学报,2010,29(10):2042-2049.LI Xinping,CHEN Junhua,LI Youhua,et al.Study of criterion and damage zone induced by excavation blasting of underground power-house of Xiluodu hydropower station[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(10):2042-2049.
[2]谢强,余贤斌,张永兴,等.大姚铜矿紫色砂岩的压拉变形特性试验研究[J].岩土力学,2007,28(10):2155-2160.XIE Qiang,YU Xianbin,ZHANG Yongxing,et al.Experiment study on deformation of purple sandstone in dayao copper mine under uniaxial compression and direct tension[J].Rock and Soil Mechanics,2007,28(10):2155-2160.
[3]陈俊桦,张家生,李新平.考虑岩体完整程度的岩石爆破损伤模型及应用[J].岩土工程学报,2016,38(5):857-866.CHEN Junhua,ZHANG Jiasheng,LI Xinping.Model of rock blasting-induced damage and its application based on the integrity of rockmass[J].Chinese Journal of Geotechnical Engineering,2016,38(5):857-866.
[4]GRADY D E,KIPP M E.Continuum modeling of explosive fracture in oil shale[J].International Journal of Rock Mechanics&Mining Science&Geomechanics Abstracts,1980,17(3):147-157.
[5]TAYLOR L M,CHEN E P,KUSZMAUL J S.Microcrackinduced damage accumulation in brittle rock under dynamic loading[J].Computer Methods in Applied Mechanics and Engineering,1986,55(3):301-320.
[6]TAYLOR L M,KUSZMAUL J S,GHEN E P.Damage accumulation due to macrocracking in brittle rock under dynamic loading[J].American Society of Mechanical Engineers,1985(69):95-104.
[7]KUSZMAUL J S.A new constitution model for fragmentation of rock under dynamic loading[C]//Proceedings of the 2nd International Symposium on Rock Fragmentation by Blasting.Canada:Keystone,1987:412-423.
[8]LIU Liqing,KATSABANIS P D.Development of a continuum damage model for blasting analysis[J].International Journal of Rock Mechanics and Mining Sciences,1997,34(2):217-231.
[9]杨小林,王树仁.岩石爆破损伤模型及评述[J].工程爆破,1999,5(3):71-75.YANG Xiaolin,WANG Shuren.Review on damage model of rock blasting[J].Engineering Blasting,1999,5(3):71-75.
[10]陈俊桦,张家生,李新平.大型地下厂房开挖爆破损伤影响范围及评价研究[J].振动与冲击,2015,34(23):54-61.CHEN Junhua,ZHANG Jiasheng,LI Xinping.Rock blasting-induced damage zone of a large-scale underground powerhouse[J].Journal of Vibration and Shock,2015,34(23):54-61.
[11]YANG R,BRWDEN W F,KATSABANIS P D.A new constitutive model for blast damage[J].International Journal of Rock Mechanics and Mining Sciences,1996,33(3):245-254.
[12]胡英国,卢文波,陈明,等.岩石爆破损伤模型的比选与改进[J].岩土力学,2012,33(11):3278-3284.HU Yingguo,LU Wenbo,CHEN Ming,et al.Comparison and improvement of blasting damage models for rock[J].Rock and Soil Mechanics,2012,33(11):3278-3284.
[13]LEVASSEUR S,COLLIN F,CHARLIER R,et al.On micromechanical damage modeling in geomechanics:influence of numerical integration scheme[J].Journal of Computational&Applied Mathematics,2013(246):215-220.
[14]JIVKOV A P.Structure of micro-crack population and damage evolution in quasi-brittle media[J].Theoretical&Applied Fracture Mechanics,2014(70):1-9.
[15]陈俊桦,李新平,张家生.基于爆破损伤的岩台保护层开挖爆破参数研究[J].岩石力学与工程学报,2016,35(1):98-108.CHEN Junhua,LI Xinping,ZHANG Jiasheng.Study on blasting parameters of protective layer excavation of rock bench based on blasting-induced damage[J].Chinese Journal of Geotechnical Engineering,2016,35(1):98-108.
[16]孙传猛,曹树刚,李勇,等.含初始损伤的煤统计损伤本构模型研究[J].中国矿业大学学报,2016,45(2):244-253.SUN Chuangmeng,CAO Shugang,LI Yong,et al.Study of initial damage considered statistic mesoscopic damage constitutive model of coal[J].Journal of China University of Mining&Technology,2016,45(2):244-253.
[17]曹文贵,李翔.岩石损伤软化统计本构模型及参数确定方法的新探讨[J].岩土力学,2008,29(11):2952-2956.CAO Wengui,LI Xiang.A new discussion on damage softening statistical constitutive model for rocks and method for determining its parameters[J].Rock and Soil Mechanics,2008,29(11):2952-2956.
[18]曹文贵,杨尚,张超.考虑弹性模量变化的岩石统计损伤本构模型[J].水文地质工程地质,2017,44(3):42-48.CAO Wengui,YANG Shang,ZHANG Chao.A statistical damage constitutive model of rocks considering the variation of the elastic modulus[J].Hydrogeology and Engineering Geology,2017,44(3):42-48.
[19]杨圣奇,徐卫亚,韦立德,等.单轴压缩下岩石损伤统计本构模型与试验研究[J].河海大学学报(自然科学版),2004,32(2):200-203.YANG Shengqi,XU Weiya,WEI Lide,et al.Statistical constitutive model for rock damage under uniaxial compression and its experimental study[J].Journal of Hohai University(Natural Sciences),2004,32(2):200-203.
[20]韦立德,杨春和,徐卫亚.考虑体积塑性应变的岩石损伤本构模型研究[J].工程力学,2006,23(1):139-143.WEI Lide,YANG Chunhe,XU Weiya.A damage constitutive model for rock with plastic volume strain[J].Engineering Mechanics,2006,23(1):139-143.
[21]李新平,陈俊桦,李友华,等.溪洛渡电站地下厂房爆破损伤范围及判据研究[J].岩石力学与工程学报,2010,29(10):2042-2049.LI Xinping,CHEN Junhua,LI Youhua,et al.Study of criterion and damage zone induced by excavation blasting of underground power-house of Xiluodu hydropower station[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(10):2042-2049.