循环爆破载荷下岩石累积损伤效应研究
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摘要
为了探究岩石在循环爆破载荷下的累积损伤演化机理与分布规律,基于有限元软件ANSYS/LS-DYNA及其重启动功能,采用Holmquist-Johnson-Cook(HJC)本构模型,对单次爆破损伤问题开展研究,并对计算结果的准确性进行验证,进而对多次循环爆破作用下的岩石损伤累积效应作了数值分析。结果表明:循环爆破载荷下岩石累积损伤演化云图与单次爆破具有相似性,径向裂纹呈交叉放射状延伸,且不同部位的岩石对多次爆破损伤的累积效应不同;累积损伤演化曲线整体上呈现出反"S"形,岩石内部存在裂纹损伤应力阈值,使总损伤区范围呈突跃式发展。此外,发现岩石累积损伤增量在径向上呈现出单峰正偏的Weibull分布形态,且在损伤区中部范围内,其受循环爆破载荷叠加作用的扰动较大。
To explore the evolution mechanism and distribution law of rock cumulative damage under cyclic blasting,the restart function of the finite element software ANSYS/LS-DYNA was adopted.The single blast-induced damage of rock was explored using the Holmquist-Johnson-Cook constitutive model,and the accuracy of the calculated results was further verified.Then,the cumulative effects of rock damage under cyclic blasting were numerically analyzed.Results show that the cloud map of the cumulative damage evolution under cyclic blasting is similar with that under the single blasting.The cracks develop in a cross-radial manner,and the cumulative effect of the blast-induced damage at different locations of the rock is different.The cumulative damage evolution exhibits a reversed-S shaped curve as a whole.A threshold of crack damage stress makes the jump development of total damage scope.In addition,the increment of the accumulative damage shows a single-peak positive Weibull distribution on the radial direction,and the middle of the damage zone is significantly disturbed by the superimposition of cyclic blast loading.
To explore the evolution mechanism and distribution law of rock cumulative damage under cyclic blasting,the restart function of the finite element software ANSYS/LS-DYNA was adopted.The single blast-induced damage of rock was explored using the Holmquist-Johnson-Cook constitutive model,and the accuracy of the calculated results was further verified.Then,the cumulative effects of rock damage under cyclic blasting were numerically analyzed.Results show that the cloud map of the cumulative damage evolution under cyclic blasting is similar with that under the single blasting.The cracks develop in a cross-radial manner,and the cumulative effect of the blast-induced damage at different locations of the rock is different.The cumulative damage evolution exhibits a reversed-S shaped curve as a whole.A threshold of crack damage stress makes the jump development of total damage scope.In addition,the increment of the accumulative damage shows a single-peak positive Weibull distribution on the radial direction,and the middle of the damage zone is significantly disturbed by the superimposition of cyclic blast loading.
引文
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[12] 刘运通,高文学.爆炸载荷下岩石损伤的数值模拟研究[J].岩土力学与工程学报,2001,20(6):789-789.[12] LIU Yun-tong,GAO Wen-xue.Numerical simulation of rock dynamic damage[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(6):789-789.(in Chinese)
[13] 高文学,刘运通.爆炸载荷下岩石损伤机理及其力学特性研究[J].岩土力学,2003,31(S2):585-588.[13] GAO Wen-xue,LIU Yun-tong.Damage mechanism and mechanical behaviors of rock under explosion loading[J].Rock and Soil Mechanics,2003,31(S2):585-588.(in Chinese)
[14] 黄佑鹏,王志亮,毕程程.岩石爆破损伤范围及损伤分布特征模拟分析[J].水利水运工程学报,2018(5):95-102.[14] HUANG You-peng,WANG Zhi-liang,BI Cheng-cheng.Simulation analysis of blast-induced damage scope and its distribution characteristics of rocks[J].Hydro-science and Engineering,2018 (5):95-102.(in Chinese)
[15] 孙从煌,曲艳东,孔祥清,等.岩石介质中双孔爆破效应的数值模拟研究[J].爆破,2017,34(3):37- 45.[15] SUN Cong-huang,QU Yan-dong,KONG Xiang-qing,et al.Numerical simulation of explosion effects of double-hole blasting in rock medium[J].Blasting,2017,34(3):37- 45.(in Chinese)
[16] 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.
[17] DONZE F V,BOUCHEZ J,MAGNIER S A.Modeling fractures in rock blasting[J].International Journal of Rock Mechanics and Mining Sciences,1997,34(8):1152-1163.
[18] H 哈努卡耶夫.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.
[19] 王文良,兀帅东.爆破孔单孔影响范围的理论计算与现场考察[J].能源技术与管理,2011 (3):95-96.[19] WANG Wen-liang,WU Shuai-dong.Theoretical calculation and field investigation of the influence scope of single hole in blasting hole[J].Energy Technology and Management,2011 (3):95-96.(in Chinese)
[20] 李裕春.ANSYS 11.0/LS-DYNA 基础理论与工程实践[M].北京:中国水利水电出版社,2008.
[21] 毕程程,王志亮,石高杨,等.初始体积分数法在爆炸模拟中的应用[J].工程爆破,2017,23(4):26-33.[21] BI Cheng-cheng,WANG Zhi-liang,SHI Gao-yang,et al.The application of initial volume fraction method in explosion simulation[J].Engineering Blasting,2017,23(4):26-33.(in Chinese)
[22] 阳生权.爆破地震累积效应理论和应用初步研究[D].长沙:中南大学,2002.[22] YANG Sheng-quan.Preliminary study on the theory and application of blasting seismic cumulative effect[D].Changsha:Central South University,2002.(in Chinese)
[23] E Eberhardt,D Stead,B Stimpson.Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression[J].International Journal of Rock Mechanics and Mining Sciences,1999,36(3):361-380.
[24] 潘城,赵光明,孟祥瑞.爆炸荷载作用下围岩累积损伤效应的数值分析[J].爆破,2016,33(1):30-33.[24] PAN Cheng,ZHAO Guang-ming,MENG Xiang-rui.Numerical analysis of surrounding rock cumulative damage under explosion loading[J].Blasting,2016,33(1):30-33.(in Chinese)
[2] 肖建清,冯夏庭,林大能.爆破循环对围岩松动圈的影响[J].岩土力学与工程学报,2010,29(11):2248-2255.[2] XIAO Jian-qing,FENG Xia-ting,LIN Da-neng.Influence of blasting round on excavation damaged zone of surrounding rock[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(11):2248-2255.(in Chinese)
[3] 中国生,敖丽萍,付玉华.循环爆破开挖下隧道围岩振动效应与损伤演化的模型实验[J].爆炸与冲击,2016,36(6):853- 860.[3] ZHONG Guo-sheng,AO Li-ping,FU Yu-hua.Vibration effect and damage evolution characteristics of tunnel surrounding rock under cyclic blasting loading[J].Explosion and Shock Waves,2016,36(6):853- 860.(in Chinese)
[4] XIAO Jian-qing,DING De-xin,JIANG Fu-liang,et al.Fatigue damage variable and evolution of rock subjected to cyclic loading[J].International Journal of Rock Mechanics & Mining Sciences,2010,47(3):461- 468.
[5] 闫长斌,徐国元,杨飞.爆破动载荷作用下围岩累积损伤效应声波测试研究[J].岩土工程学报,2007,29(1):88-93.[5] YAN Chang-bin,XU Guo-yuan,YANG Fei.Measurement of sound waves to study cumulative damage effect on surrounding rock under blasting load[J].Chinese Journal of Geotechnical Engineering,2007,29(1):88-93.(in Chinese)
[6] 闫长斌.基于声速变化的岩石爆破累积损伤效应[J].岩土力学,2010,31(S1):187-192.[6] YAN Chang-bing.Blasting damage cumulative effect of rock mass based on sound velocity variation[J].Rock and Soil Mechanics,2010,31(S1):187-192.(in Chinese)
[7] 褚怀保,叶红宇,杨小林,等.基于损伤累积的爆破振动传播规律试验研究[J].爆炸与冲击,2016,35(2):173-177.[7] CHU Huai-bao,YE Hong-yu,YANG Xiao-lin,et al.Experiments on propagation of blasting vibration based on damage accumulation[J].Explosion and Shock Waves,2016,35(2):173-177.(in Chinese)
[8] 褚怀保,叶红宇,杨小林,等.高强混凝土试块爆破损伤累积规律试验研究[J].爆破,2016,33(1):1-5.[8] CHU Huai-bao,YE Hong-yu,YANG Xiao-lin,et al.Experimental study on accumulation law of blasting damage on high-strength concrete block[J].Blasting,2016,33(1):1-5.(in Chinese)
[9] 颜峰,姜福兴.爆炸冲击载荷作用下岩石的损伤实验[J].爆炸与冲击,2009,29(3):275-280.[9] YAN Feng,JIANG Fu-xing.Rock damage experiment under blast impact loading[J].Explosion and Shock Waves,2009,29(3):275-280.(in Chinese)
[10] 梁龙华.循环爆破加载对露天采场边坡岩石的累积损伤研究[D].赣州:江西理工大学,2015:39-52.[10] LIANG Long-hua.Research on open pit rock cumulative damage effect by cyclic blasting loading[D].Ganzhou:Jiangxi University of Science and Technology,2015,39-52.(in Chinese)
[11] 蔡峰,刘泽功.岩石爆破损伤SPH-FEM耦合法数值模拟分析[J].采矿与安全工程学报,2015,32(6):840- 845.[11] CAI Feng,LIU Ze-gong.Numerical simulation and analysis of blasting process in rock using SPH-FEM coupling algorithm[J].Journal of Mining & Safety Engineering,2015,32(6):840- 845.(in Chinese)
[12] 刘运通,高文学.爆炸载荷下岩石损伤的数值模拟研究[J].岩土力学与工程学报,2001,20(6):789-789.[12] LIU Yun-tong,GAO Wen-xue.Numerical simulation of rock dynamic damage[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(6):789-789.(in Chinese)
[13] 高文学,刘运通.爆炸载荷下岩石损伤机理及其力学特性研究[J].岩土力学,2003,31(S2):585-588.[13] GAO Wen-xue,LIU Yun-tong.Damage mechanism and mechanical behaviors of rock under explosion loading[J].Rock and Soil Mechanics,2003,31(S2):585-588.(in Chinese)
[14] 黄佑鹏,王志亮,毕程程.岩石爆破损伤范围及损伤分布特征模拟分析[J].水利水运工程学报,2018(5):95-102.[14] HUANG You-peng,WANG Zhi-liang,BI Cheng-cheng.Simulation analysis of blast-induced damage scope and its distribution characteristics of rocks[J].Hydro-science and Engineering,2018 (5):95-102.(in Chinese)
[15] 孙从煌,曲艳东,孔祥清,等.岩石介质中双孔爆破效应的数值模拟研究[J].爆破,2017,34(3):37- 45.[15] SUN Cong-huang,QU Yan-dong,KONG Xiang-qing,et al.Numerical simulation of explosion effects of double-hole blasting in rock medium[J].Blasting,2017,34(3):37- 45.(in Chinese)
[16] 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.
[17] DONZE F V,BOUCHEZ J,MAGNIER S A.Modeling fractures in rock blasting[J].International Journal of Rock Mechanics and Mining Sciences,1997,34(8):1152-1163.
[18] H 哈努卡耶夫.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.
[19] 王文良,兀帅东.爆破孔单孔影响范围的理论计算与现场考察[J].能源技术与管理,2011 (3):95-96.[19] WANG Wen-liang,WU Shuai-dong.Theoretical calculation and field investigation of the influence scope of single hole in blasting hole[J].Energy Technology and Management,2011 (3):95-96.(in Chinese)
[20] 李裕春.ANSYS 11.0/LS-DYNA 基础理论与工程实践[M].北京:中国水利水电出版社,2008.
[21] 毕程程,王志亮,石高杨,等.初始体积分数法在爆炸模拟中的应用[J].工程爆破,2017,23(4):26-33.[21] BI Cheng-cheng,WANG Zhi-liang,SHI Gao-yang,et al.The application of initial volume fraction method in explosion simulation[J].Engineering Blasting,2017,23(4):26-33.(in Chinese)
[22] 阳生权.爆破地震累积效应理论和应用初步研究[D].长沙:中南大学,2002.[22] YANG Sheng-quan.Preliminary study on the theory and application of blasting seismic cumulative effect[D].Changsha:Central South University,2002.(in Chinese)
[23] E Eberhardt,D Stead,B Stimpson.Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression[J].International Journal of Rock Mechanics and Mining Sciences,1999,36(3):361-380.
[24] 潘城,赵光明,孟祥瑞.爆炸荷载作用下围岩累积损伤效应的数值分析[J].爆破,2016,33(1):30-33.[24] PAN Cheng,ZHAO Guang-ming,MENG Xiang-rui.Numerical analysis of surrounding rock cumulative damage under explosion loading[J].Blasting,2016,33(1):30-33.(in Chinese)