柱形装药爆破作用下岩石破坏分区理论解析
|
摘要
研究柱形装药爆破下岩石破坏分区半径、破坏各区位移应力和周边控制爆破时装药径向不耦合系数计算问题。基于炸药爆轰波的C-J理论和空腔膨胀理论,采用Tresca屈服准则模拟爆破近区的本构关系,利用爆破近区的速度场建立破碎区的动力控制方程,结合径向裂纹区的准静力平衡方程和弹性振动区的应力-应变关系,给出柱形耦合和不耦合装药爆破作用下岩石破坏分区半径及计算点位移应力的理论解析,推导周边眼控制爆破的装药径向不耦合系数和单孔装药量计算公式。根据破坏区半径比的结果与已有文献结果的比较,证明了本文理论方法的正确性和可靠性。
The calculation problem of the radius of the rock failure zone, displacements and stresses of the rock failure zone, the charge radial uncoupling coefficient under the cylindrical charge blasting are mainly studied in the paper. Based on the C-J theory of the detonation wave of explosives and cavity expansion theory, by adopting Tresca yield criterion to simulate the constitutive relation of the blasting near zone, and by using the velocity field of the blasting near zone to establish the dynamic control equation of the broken zone, combining with the quasi-static balance equation of the radial crack zone and stress-strain relationship of the elastic vibration zone, the theoretical solution of the displacements and stresses and the damage zone radius of the rock mass under the action of the cylindrical coupled and uncoupled charge blasting were given, and the calculation formula of the single hole charge and the charge radial uncoupling coefficient for controlling the surrounding eye blasting were derived. According to the comparison of the radius ratio of the failure zone between the theoretical method and the existing literature results, the correctness and reliability of the theoretical method is proved.
The calculation problem of the radius of the rock failure zone, displacements and stresses of the rock failure zone, the charge radial uncoupling coefficient under the cylindrical charge blasting are mainly studied in the paper. Based on the C-J theory of the detonation wave of explosives and cavity expansion theory, by adopting Tresca yield criterion to simulate the constitutive relation of the blasting near zone, and by using the velocity field of the blasting near zone to establish the dynamic control equation of the broken zone, combining with the quasi-static balance equation of the radial crack zone and stress-strain relationship of the elastic vibration zone, the theoretical solution of the displacements and stresses and the damage zone radius of the rock mass under the action of the cylindrical coupled and uncoupled charge blasting were given, and the calculation formula of the single hole charge and the charge radial uncoupling coefficient for controlling the surrounding eye blasting were derived. According to the comparison of the radius ratio of the failure zone between the theoretical method and the existing literature results, the correctness and reliability of the theoretical method is proved.
引文
[1]张奇.岩石爆破的粉碎区及其空腔膨胀[J].爆炸与冲击,1990(1):70-77.ZHANG Qi.Smash districts and expanding of cavities in rock blasting[J].Explosion and Shock Waves,1990(1):70-77.
[2]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 radii of the borken and carcked areas in rock by a long chagre explosion[J].Journal of Liaoning Technical University(Nautarl Science),2001,20(2):144-147.
[3]王明洋,戎晓力,钱七虎,等.弹体在岩石中侵彻与贯穿计算原理[J].岩石力学与工程学报,2003,22(11):1811-1816.WANG Mingyang,RONG Xiaoli,QIAN Qihu,et al.Calculation principle for penetration and perforation of projectiles into rock[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(11):1811-1816.
[4]陈士海,王明洋,赵跃堂,等.岩石爆破破坏界面上的应力时程研究[C]//全国岩石动力学学术会议,2003:1784-1788.CHEN Shihai,WANG Mingyang,ZHAO Yuetang,et al.Time-stress history on interface between cracked and uncracked zones under rock blasting[C]//National Symposium on Rock Dynamics,2003:1784-1788.
[5]陈士海,王明洋,钱七虎.岩体中爆破破坏分区研究[J].爆破器材,2004,33(3):33-36.CHEN Shihai,WANG Mingyang,QIAN Qihu.Study on distinction of blasting crack zones and time course of stress in rocks[J].Explosive Materials,2004,33(3):33-36.
[6]王明洋,邓宏见,钱七虎,等.岩石中侵彻与爆炸作用的近区问题研究[J].岩石力学与工程学报,2005,24(16):2859-2863.WANG Mingyang,DENG Hongjian,QIAN Qihu.Study on problems of near cavity of penetration and explosion in rock[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(16):2859-2863.
[7]王在晖,杨英,葛涛.岩体中封闭爆炸破碎区尺寸参数的近似计算方法[J].解放军理工大学自然科学版,2006,7(5):454-457.WANG Zaihui,YANG Ying,GE Tao.Analysis of crush zone size in rock mass under explosion load[J].Journal of PLA University of Science and Technology,2006,7(5):454-457.
[8]穆朝民,齐娟.柱状装药爆破应力分布的研究[J].振动与冲击,2010,29(10):91-94.MU Chaomin,QI Juan.Distribution of Stress caused by column charge blasting[J].Journal of Vibration and Shock,2010,29(10):91-94.
[9]Luk V K,Amos D E.Dynamic cylindrical cavity expansion of compressible strain-hardening materials[J].Journal of Applied Mechanics,1991,58(2):334.
[10]Durban D,Masri R.Dynamic spherical cavity expansion in a pressure sensitive elastoplastic medium[J].International Journal of Solids&Structures,2004,41(20):5697-5716.
[11]ZHOU H,WEN H M.Dynamic cylindrical cavity expansion model and its application to penetration problems[J].Chinese Journal of High Pressure Physics,2006,20(1):67-78.
[12]Masri R,Durban D.Cylindrical cavity expansion in compressible Mises and Tresca solids[J].European Journal of Mechanics,2007,26(4):712-727.
[13]GUO X J,HE T,WEN H M.Cylindrical cavity expansion penetration model for concrete targets with shear dilatancy[J].Journal of Engineering Mechanics,2013,139(9):1260-1267.
[14]王文龙.钻眼爆破[M].北京:煤炭工业出版社,1984.240-246,318.WANG Wenlong.Hole blasting[M].Beijing:China,Coal Industry Press,1984:240-246,318.
[15]张奇.柱形装药在岩体内的爆炸作用过程[J].中国有色金属学报,1992(3):15-18.ZHANG Qi.The explosion process of column charge in rock mass[J].China Nonferrous Metals,1992(3):15-18.
[16]杨建华,卢文波,陈明,等.基于爆炸荷载等效施加方法的爆破振动全历程数值模拟研究[C]//第10届全国工程爆破学术会议.中国爆破新技术Ⅲ,广州:中国力学学会,2012:87-92.YANG Jianhua,LU Wenbo,CHEN Ming,et al.An equivalent simulation method for whole time·history blasitng vibraiton[C]//Tenth National Academic Conference on Engineering Blasting.New Technology of Blasting in ChinaⅢ,Guangzhou:Chinese Society of Theoretical and Applied Mechanics,2012:87-92.
[17]陆瑜.爆破振动对陡倾层状岩体隧道稳定性影响[D].贵阳:贵州大学,2015:1-76.LU Yu.Influence of blasting vibration on the stability of steep dip stratified rock mass tunnel[D].Guiyang:Guizhou University,2015:1-76.
[2]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 radii of the borken and carcked areas in rock by a long chagre explosion[J].Journal of Liaoning Technical University(Nautarl Science),2001,20(2):144-147.
[3]王明洋,戎晓力,钱七虎,等.弹体在岩石中侵彻与贯穿计算原理[J].岩石力学与工程学报,2003,22(11):1811-1816.WANG Mingyang,RONG Xiaoli,QIAN Qihu,et al.Calculation principle for penetration and perforation of projectiles into rock[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(11):1811-1816.
[4]陈士海,王明洋,赵跃堂,等.岩石爆破破坏界面上的应力时程研究[C]//全国岩石动力学学术会议,2003:1784-1788.CHEN Shihai,WANG Mingyang,ZHAO Yuetang,et al.Time-stress history on interface between cracked and uncracked zones under rock blasting[C]//National Symposium on Rock Dynamics,2003:1784-1788.
[5]陈士海,王明洋,钱七虎.岩体中爆破破坏分区研究[J].爆破器材,2004,33(3):33-36.CHEN Shihai,WANG Mingyang,QIAN Qihu.Study on distinction of blasting crack zones and time course of stress in rocks[J].Explosive Materials,2004,33(3):33-36.
[6]王明洋,邓宏见,钱七虎,等.岩石中侵彻与爆炸作用的近区问题研究[J].岩石力学与工程学报,2005,24(16):2859-2863.WANG Mingyang,DENG Hongjian,QIAN Qihu.Study on problems of near cavity of penetration and explosion in rock[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(16):2859-2863.
[7]王在晖,杨英,葛涛.岩体中封闭爆炸破碎区尺寸参数的近似计算方法[J].解放军理工大学自然科学版,2006,7(5):454-457.WANG Zaihui,YANG Ying,GE Tao.Analysis of crush zone size in rock mass under explosion load[J].Journal of PLA University of Science and Technology,2006,7(5):454-457.
[8]穆朝民,齐娟.柱状装药爆破应力分布的研究[J].振动与冲击,2010,29(10):91-94.MU Chaomin,QI Juan.Distribution of Stress caused by column charge blasting[J].Journal of Vibration and Shock,2010,29(10):91-94.
[9]Luk V K,Amos D E.Dynamic cylindrical cavity expansion of compressible strain-hardening materials[J].Journal of Applied Mechanics,1991,58(2):334.
[10]Durban D,Masri R.Dynamic spherical cavity expansion in a pressure sensitive elastoplastic medium[J].International Journal of Solids&Structures,2004,41(20):5697-5716.
[11]ZHOU H,WEN H M.Dynamic cylindrical cavity expansion model and its application to penetration problems[J].Chinese Journal of High Pressure Physics,2006,20(1):67-78.
[12]Masri R,Durban D.Cylindrical cavity expansion in compressible Mises and Tresca solids[J].European Journal of Mechanics,2007,26(4):712-727.
[13]GUO X J,HE T,WEN H M.Cylindrical cavity expansion penetration model for concrete targets with shear dilatancy[J].Journal of Engineering Mechanics,2013,139(9):1260-1267.
[14]王文龙.钻眼爆破[M].北京:煤炭工业出版社,1984.240-246,318.WANG Wenlong.Hole blasting[M].Beijing:China,Coal Industry Press,1984:240-246,318.
[15]张奇.柱形装药在岩体内的爆炸作用过程[J].中国有色金属学报,1992(3):15-18.ZHANG Qi.The explosion process of column charge in rock mass[J].China Nonferrous Metals,1992(3):15-18.
[16]杨建华,卢文波,陈明,等.基于爆炸荷载等效施加方法的爆破振动全历程数值模拟研究[C]//第10届全国工程爆破学术会议.中国爆破新技术Ⅲ,广州:中国力学学会,2012:87-92.YANG Jianhua,LU Wenbo,CHEN Ming,et al.An equivalent simulation method for whole time·history blasitng vibraiton[C]//Tenth National Academic Conference on Engineering Blasting.New Technology of Blasting in ChinaⅢ,Guangzhou:Chinese Society of Theoretical and Applied Mechanics,2012:87-92.
[17]陆瑜.爆破振动对陡倾层状岩体隧道稳定性影响[D].贵阳:贵州大学,2015:1-76.LU Yu.Influence of blasting vibration on the stability of steep dip stratified rock mass tunnel[D].Guiyang:Guizhou University,2015:1-76.