一维高静载频繁动态扰动时含铜蛇纹岩能量演化规律
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摘要
采用预加载高轴压、0.4MPa的冲击气压频繁冲击的方式模拟深部岩石所处的高静载条件下受爆破开挖扰动影响的力学环境,进行一维高静载频繁动态扰动试验。然后基于试验结果探讨冲击扰动前后含铜蛇纹岩伴随主要能量的种类,并在预加轴压时岩石内部损伤不计、冲击扰动后轴压值不变、岩石破碎后内部储能为零的假设条件下,推演各种能量的演算方法,并分析演化规律。结果表明:冲击扰动前后主要伴随的能量为弹性能、入射能、弹塑性能、反射能、透射能、复合释放能;弹塑性能随扰动冲击次数的增加呈幂函数的形式减小;反射能、透射能分别与入射能的比值和复合释放能都随扰动冲击次数的增加而增大,但前者呈线性趋势发展,后者呈对数趋势变化;冲击扰动过程中岩石处于释放能量的状态,且随扰动冲击次数的增加,释放的能量总体上先增大后减小。
The mechanical environment of deep rock under high static load and frequent dynamic disturbance was simulated with preloading high axial compression and impacting frequently. The one-dimensional high static load frequent dynamic disturbance test was carried out with 0.4 MPa impact pressure. Based on the experimental results,the types of main energy of copper-bearing serpentine before and after the impact disturbed were discussed. Some hypothetical conditions were considered, such as the internal damage of rock was ignored when preloading axial compression, the axial pressure values were invariant after impact disturbance, the internal storage energy was zero after rock specimen break into cuttings, when the calculation methods and evolution laws were analyzed. The results show that the main accompanying energies before and after the impact disturbed are elastic energy, incident energy, elastic plastic energy, reflection energy, transmission energy and composite release energy. The elastic plastic energy increases with increasing disturbance impact times of rock specimen in a power function with a negative exponent. The ratio of reflection with incident energy, the ratio of transmission with incident energy and the composite release energy all increase with increasing of impact disturbance times, but the former shows a linear trend and the latter shows a logarithmic trend. The rock in the impact disturbance process is in the state of releasing energy, and the released energy in general increases firstly and then decreases with increasing of impact disturbance times.
The mechanical environment of deep rock under high static load and frequent dynamic disturbance was simulated with preloading high axial compression and impacting frequently. The one-dimensional high static load frequent dynamic disturbance test was carried out with 0.4 MPa impact pressure. Based on the experimental results,the types of main energy of copper-bearing serpentine before and after the impact disturbed were discussed. Some hypothetical conditions were considered, such as the internal damage of rock was ignored when preloading axial compression, the axial pressure values were invariant after impact disturbance, the internal storage energy was zero after rock specimen break into cuttings, when the calculation methods and evolution laws were analyzed. The results show that the main accompanying energies before and after the impact disturbed are elastic energy, incident energy, elastic plastic energy, reflection energy, transmission energy and composite release energy. The elastic plastic energy increases with increasing disturbance impact times of rock specimen in a power function with a negative exponent. The ratio of reflection with incident energy, the ratio of transmission with incident energy and the composite release energy all increase with increasing of impact disturbance times, but the former shows a linear trend and the latter shows a logarithmic trend. The rock in the impact disturbance process is in the state of releasing energy, and the released energy in general increases firstly and then decreases with increasing of impact disturbance times.
引文
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[9]FERR G.On dissipated energy density in compression for concrete[J].Engineering Fracture Mechanics,2006,73(11):1510-1530.
[10]BAGDE M N,PETRO?V.Fatigue and dynamic energy behavior of rock subjected to cyclical loading[J].International Journal of Rock Mechanics and Mining Sciences,2009,46(1):200-209.
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[12]谢和平,彭瑞东,鞠杨,周宏伟.岩石破坏的能量分析初探[J].岩石力学与工程学报,2005,24(5):2603-2607.XIE He-ping,PENG Rui-dong,JU Yang,ZHOU Hong-wei.On energy analysis of rock failure[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(5):2603-2607.
[13]邓华锋,胡玉,李建林,王哲,张小景,胡安龙.循环加卸载过程中砂岩能量耗散演化规律[J].岩石力学与工程学报,2016,35(s1):2869-2875.DENG Hua-feng,HU Yu,LI Jian-lin,WANG Zhe,ZHAGNXiao-jing,HU An-long.The evolution of sandstone energy dissipation under cyclic loading and unloading[J].Chinese Journal of Rock Mechanics and Engineering,2016,35(s1):2869-2875.
[14]许江,杨红伟,李树春,姜永东.循环加、卸载孔隙水压力对砂岩变形特性影响实验研究[J].岩石力学与工程学报,2009,28(5):892-899.XU Jiang,YANG Hong-wei,LI Shu-chun,JIANG Yong-dong.Experimental study of effects of cyclic loading and unloading pore water pressures on deformation characteristic of sandstone[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(5):892-899.
[15]戴兵,赵国彦,杨晨,董陇军.不同应力路径下岩石峰前卸荷破坏能量特征分析[J].采矿与安全工程学报,2016,33(2):367-374.DAI Bing,ZHAO Guo-yan,YANG Chen,DONG Long-jun.Energy evolution law of rocks in process of unloading failure under different paths[J].Journal of Mining&Safety Engineering,2016,33(2):367-374.
[16]平琦,骆轩,马芹永,袁璞.冲击载荷作用下砂岩试件破碎能耗特征[J].岩石力学与工程学报,2015,34(s2):4197-4203.PING Qi,LUO Xuan,MA Qin-yong,YUAN Pu.Broken energy dissipation characteristics of sandstone specimens under impact loads[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(s2):4197-4203.
[17]陈腾飞,许金余,刘石,王鹏,方新宇.岩石在冲击压缩破坏过程中的能量演化分析[J].地下空间与工程学报,2013,9(s1):1477-1482.CHEN Teng-fei,XU Jin-yu,LIU Shi,WAGN Peng,FANGXin-yu.Research on rock energy evolution in the process of impact compression failure[J].Chinese Journal of Underground Space and Engineering,2013,9(s1):1477-1482.
[18]平琦,马芹永,袁璞.岩石试件SHPB劈裂拉伸试验中能量耗散分析[J].采矿与安全工程学报,2013,30(3):401-407.PING Qi,MA Qin-yong,YUAN Pu.Energy dissipation analysis of stone specimens in SHPB tensile test[J].Journal of Mining&Safety Engineering,2013,30(3):401-407.
[19]邹洋.岩石动静组合加载巴西盘劈裂试验研究[D].长沙:中南大学,2011.ZHOU Yang.Experimental study of rock brizilian disk test under coupled static-dynamic loads[D].Changsha:Central South University,2011
[20]李夕兵,周子龙,王卫华.运用有限元和神经网络为SHPB装置构造理想冲头[J].岩石力学与工程学报,2005,24(23):4215-4218.LI Xi-bing,ZHOU Zi-long,WANG Wei-hua.Construction of ideal striker for SHPB device based on FEM and neural network[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(23):4215-4218.
[21]LI Xi-bing,ZHOU Zi-long,ZHAO Yang-sheng.Approach to minish scattering of results for split Hopkinson pressure bar test[J].Journal of Central South University of Technology,2007,14(3):404-407.
[22]LI X I,ZHOU Z I,LOK T S,LIANG H,YIN T B.Innovative testing technique of rock subjected to coupled static and dynamic loads[J].International Journal of Rock Mechanics and Mining Sciences,2008,45(5):739-748.
[23]宫凤强,李夕兵,刘希灵.三维动静组合加载下岩石力学特性试验初探[J].岩石力学与工程学报,2011,30(6):1178-1190.GONG Feng-qiang,LI Xi-bing,LIU Xi-ling Preliminary experimental study of characteristics of rock subjected to 3Dcoupled static and dynamic loads[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(6):1178-1190.
[24]李夕兵,古德生.岩石冲击动力学[M].长沙:中南工业大学出版社,1994:12.LI Xi-bing,GU De-sheng.Rock impact dynamics[M].Changsha:Central South University of Technology Press,1994:12.
[25]王春,唐礼忠,程露萍,邓丽凡,陈源.一维静载与频繁扰动共同作用下含铜蛇纹岩动力学特性[J].振动与冲击,2016,35(9):219-226,WANG Chun,TANG Li-zhong,CHENG Lu-ping,DENG Li-fan,CHEN Yuan.Dynamic characteristics of copper-bearing serpentine under combined action of one-dimensional static load and frequent disturbance[J].Journal of Vibration and Shock,2016,35(9):219-226.
[2]高魁,刘泽功,刘健,邓东生,高新亚,康亚,黄凯峰.深孔爆破在深井坚硬复合顶板沿空留巷强制放顶中的应用[J].岩石力学与工程学报,2013,32(8):1588-1594.GAO Kui,LIU Ze-gong,LIU Jian,DENG Dong-sheng,GAOXin-ya,KANG Ya,KUANG Kai-feng.Application of deep borehole blasting to gob-side entry retaining forced roof caving in hard and compound roof deep well[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(8):1588-1594.
[3]谢和平,鞠杨,黎立云,彭瑞东.岩体变形破坏过程的能量机制[J].岩石力学与工程学报,2008,27(9):1729-1740.XIE He-ping,JU Yang,LI Li-yun,PENG Rui-dong.Energy mechanism of deformation and failure of rocks[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(9):1729-1740.
[4]张志镇,高峰.3种岩石能量演化特征的试验研究[J].中国矿业大学学报,2015,44(3):416-422.ZHANG Zhi-zhen,GAO Feng.Experimental investigations on energy evolution characteristics of coal,sandstone and granite during loading process[J].Journal of China University of Mining&Technology,2015,44(3):416-422.
[5]谢和平,彭瑞东,鞠杨.岩石变形破坏过程中的能量耗散分析[J].岩石力学与工程学报,2004,23(21):3565-3570.XIE He-ping,PENG Rui-dong,JU Yang.Energy dissipation of rock deformation and fracture[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(21):3565-3570.
[6]满轲,周宏伟.不同赋存深度岩石的动态断裂韧性与拉伸强度研究[J].岩石力学与工程学报,2010,29(8):1657-1663.MAN Ke,ZHOU Hong-wei.Research on dynamic fracture toughness and tensile strength of rock at different depths[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(8):1657-1663.
[7]LOCKNER D A,BYERLEE J D.Acoustic emission and creep in rock at high confining pressure and differential stress[J].Bulletin of the Seismological Society of America,1977,67(2):247-258.
[8]宋义敏,姜耀东,马少鹏,杨小彬,赵同彬.岩石变形破坏全过程的变形场和能量演化研究[J].岩土力学,2012,33(5):1352-1356.SONG Yi-min,JIANG Yao-dong,MA Shao-peng,YANGXiao-bin,ZHAO Tong-bin.Evolution of deformation fields and energy in whole process of rock failure[J].Rock and Soil Mechanics,2012,33(5):1352-1356.
[9]FERR G.On dissipated energy density in compression for concrete[J].Engineering Fracture Mechanics,2006,73(11):1510-1530.
[10]BAGDE M N,PETRO?V.Fatigue and dynamic energy behavior of rock subjected to cyclical loading[J].International Journal of Rock Mechanics and Mining Sciences,2009,46(1):200-209.
[11]谢和平,鞠杨,黎立云.基于能量耗散与释放原理的岩石强度与整体破坏准则[J].岩石力学与工程学报,2005,24(17):3003-3010.XIE He-ping,JU Yang,LI Li-yun.Criteria for strength and structural failure of rocks based on energy dissipation and energy release principles[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(17):3003-3010.
[12]谢和平,彭瑞东,鞠杨,周宏伟.岩石破坏的能量分析初探[J].岩石力学与工程学报,2005,24(5):2603-2607.XIE He-ping,PENG Rui-dong,JU Yang,ZHOU Hong-wei.On energy analysis of rock failure[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(5):2603-2607.
[13]邓华锋,胡玉,李建林,王哲,张小景,胡安龙.循环加卸载过程中砂岩能量耗散演化规律[J].岩石力学与工程学报,2016,35(s1):2869-2875.DENG Hua-feng,HU Yu,LI Jian-lin,WANG Zhe,ZHAGNXiao-jing,HU An-long.The evolution of sandstone energy dissipation under cyclic loading and unloading[J].Chinese Journal of Rock Mechanics and Engineering,2016,35(s1):2869-2875.
[14]许江,杨红伟,李树春,姜永东.循环加、卸载孔隙水压力对砂岩变形特性影响实验研究[J].岩石力学与工程学报,2009,28(5):892-899.XU Jiang,YANG Hong-wei,LI Shu-chun,JIANG Yong-dong.Experimental study of effects of cyclic loading and unloading pore water pressures on deformation characteristic of sandstone[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(5):892-899.
[15]戴兵,赵国彦,杨晨,董陇军.不同应力路径下岩石峰前卸荷破坏能量特征分析[J].采矿与安全工程学报,2016,33(2):367-374.DAI Bing,ZHAO Guo-yan,YANG Chen,DONG Long-jun.Energy evolution law of rocks in process of unloading failure under different paths[J].Journal of Mining&Safety Engineering,2016,33(2):367-374.
[16]平琦,骆轩,马芹永,袁璞.冲击载荷作用下砂岩试件破碎能耗特征[J].岩石力学与工程学报,2015,34(s2):4197-4203.PING Qi,LUO Xuan,MA Qin-yong,YUAN Pu.Broken energy dissipation characteristics of sandstone specimens under impact loads[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(s2):4197-4203.
[17]陈腾飞,许金余,刘石,王鹏,方新宇.岩石在冲击压缩破坏过程中的能量演化分析[J].地下空间与工程学报,2013,9(s1):1477-1482.CHEN Teng-fei,XU Jin-yu,LIU Shi,WAGN Peng,FANGXin-yu.Research on rock energy evolution in the process of impact compression failure[J].Chinese Journal of Underground Space and Engineering,2013,9(s1):1477-1482.
[18]平琦,马芹永,袁璞.岩石试件SHPB劈裂拉伸试验中能量耗散分析[J].采矿与安全工程学报,2013,30(3):401-407.PING Qi,MA Qin-yong,YUAN Pu.Energy dissipation analysis of stone specimens in SHPB tensile test[J].Journal of Mining&Safety Engineering,2013,30(3):401-407.
[19]邹洋.岩石动静组合加载巴西盘劈裂试验研究[D].长沙:中南大学,2011.ZHOU Yang.Experimental study of rock brizilian disk test under coupled static-dynamic loads[D].Changsha:Central South University,2011
[20]李夕兵,周子龙,王卫华.运用有限元和神经网络为SHPB装置构造理想冲头[J].岩石力学与工程学报,2005,24(23):4215-4218.LI Xi-bing,ZHOU Zi-long,WANG Wei-hua.Construction of ideal striker for SHPB device based on FEM and neural network[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(23):4215-4218.
[21]LI Xi-bing,ZHOU Zi-long,ZHAO Yang-sheng.Approach to minish scattering of results for split Hopkinson pressure bar test[J].Journal of Central South University of Technology,2007,14(3):404-407.
[22]LI X I,ZHOU Z I,LOK T S,LIANG H,YIN T B.Innovative testing technique of rock subjected to coupled static and dynamic loads[J].International Journal of Rock Mechanics and Mining Sciences,2008,45(5):739-748.
[23]宫凤强,李夕兵,刘希灵.三维动静组合加载下岩石力学特性试验初探[J].岩石力学与工程学报,2011,30(6):1178-1190.GONG Feng-qiang,LI Xi-bing,LIU Xi-ling Preliminary experimental study of characteristics of rock subjected to 3Dcoupled static and dynamic loads[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(6):1178-1190.
[24]李夕兵,古德生.岩石冲击动力学[M].长沙:中南工业大学出版社,1994:12.LI Xi-bing,GU De-sheng.Rock impact dynamics[M].Changsha:Central South University of Technology Press,1994:12.
[25]王春,唐礼忠,程露萍,邓丽凡,陈源.一维静载与频繁扰动共同作用下含铜蛇纹岩动力学特性[J].振动与冲击,2016,35(9):219-226,WANG Chun,TANG Li-zhong,CHENG Lu-ping,DENG Li-fan,CHEN Yuan.Dynamic characteristics of copper-bearing serpentine under combined action of one-dimensional static load and frequent disturbance[J].Journal of Vibration and Shock,2016,35(9):219-226.