基于层叠模型组合煤岩体动态力学本构模型
|
摘要
为研究冲击载荷下组合煤岩的动态力学特征,利用75 mm的分离式霍普金森压杆(SHPB)实验系统,对不同组合比煤岩样(砂岩:煤:砂岩分别是1:1:1,2:1:1,1:1:2,1:2:2)进行不同速率(4. 590～8. 791 m/s)的冲击加载实验,获得了组合煤岩的动态应力-应变曲线,结合煤、岩本构的研究成果和层叠模型原理,并充分考虑了组合煤岩体在动态破坏过程中的应变率相关性和损伤特性,构建了7参数组合煤岩层叠本构模型。研究结果表明:①不同组合比煤岩的弹性阶段和塑性阶段持续时间不同,不同组合比煤岩的应力应变曲线前期均呈现出明显的非线性;②组合煤岩动态冲击屈服强度随应变率的增大而增大,随煤的占比增大而减小;③构建的7参数组合煤岩层叠本构模型数值拟合曲线与实测动态本构曲线具有较好的一致性,拟合参数分析发现在中应变率(110. 41～195. 49 s-1)冲击载荷作用下,组合煤岩体损伤软化效应超过应变率强化效应成为主导因素;④拟合参数范围和试样冲击破坏特征均表明,组合体试件主要破坏部位以煤体破坏为主,不受组合方式的影响。研究成果为进一步深入认识冲击地压等煤岩动力灾害发生机理和预测预防措施提供参考借鉴。由于组合煤岩冲击破坏SHPB实验条件有限,并未考虑围岩影响,围压下的组合煤岩动态破坏特性有待利用实验和数值模拟手段进一步研究。
In order to study the dynamic mechanical characteristics of combined coal rock under impact load,using a75 mm split Hopkinson pressure bar( SHPB) experimental system for the different combinations of coal samples( sandstone: coal: sandstone,1:1:1,2:1:1,1:1:2,1:2:2),the impact loading experiments at different rates( 4.590-8.791 m/s) were carried out.The dynamic stress-strain curves of the combined coal rock were obtained.Combined with the research results of coal and rock constitutive model and the principle of overlay model,the strain rate correlation and damage characteristics of combined coal-rock mass in dynamic failure were fully con-sidered,and the seven-parameter combined coal rock layer constitutive model was constructed.The results show that ① The elastic and plastic phases of coal rock with different combination ratios have different durations,and the stress-strain curves of different combinations have obvious nonlinearity in the early stage.② The dynamic impact yield strength of the combined coal rock increases with the increase of the strain rate,and decreases with the increase of the proportion of coal.③ The numerical fitting curve of the 7-parameter combination coal-rock layer constitutive model is well consistent with the measured dynamic constitutive curve.The fitting parameter analysis finds the medium strain rate( 110.41-195.49 s-1)impact load. Under the action,the damage softening effect of the combined coal-rock mass exceeds the strain rate strengthening effect and becomes the dominant factor.④ The fitting parameter range and the impact damage characteristics of the sample indicate that the main damage part of the combined specimen is mainly caused by coal damage,not affected by the combination mode.The research results provide a reference for further understanding the mechanism of coal-rock dynamic disasters such as rock burst and predicting preventive measures. Due to the limited experimental conditions of SHPB for the impact damage of combined coal rock,the influence of surrounding rock is not considered.The dynamic failure charac-teristics of combined coal under confining pressure need to be further studied by experimental and numerical simulation methods.
In order to study the dynamic mechanical characteristics of combined coal rock under impact load,using a75 mm split Hopkinson pressure bar( SHPB) experimental system for the different combinations of coal samples( sandstone: coal: sandstone,1:1:1,2:1:1,1:1:2,1:2:2),the impact loading experiments at different rates( 4.590-8.791 m/s) were carried out.The dynamic stress-strain curves of the combined coal rock were obtained.Combined with the research results of coal and rock constitutive model and the principle of overlay model,the strain rate correlation and damage characteristics of combined coal-rock mass in dynamic failure were fully con-sidered,and the seven-parameter combined coal rock layer constitutive model was constructed.The results show that ① The elastic and plastic phases of coal rock with different combination ratios have different durations,and the stress-strain curves of different combinations have obvious nonlinearity in the early stage.② The dynamic impact yield strength of the combined coal rock increases with the increase of the strain rate,and decreases with the increase of the proportion of coal.③ The numerical fitting curve of the 7-parameter combination coal-rock layer constitutive model is well consistent with the measured dynamic constitutive curve.The fitting parameter analysis finds the medium strain rate( 110.41-195.49 s-1)impact load. Under the action,the damage softening effect of the combined coal-rock mass exceeds the strain rate strengthening effect and becomes the dominant factor.④ The fitting parameter range and the impact damage characteristics of the sample indicate that the main damage part of the combined specimen is mainly caused by coal damage,not affected by the combination mode.The research results provide a reference for further understanding the mechanism of coal-rock dynamic disasters such as rock burst and predicting preventive measures. Due to the limited experimental conditions of SHPB for the impact damage of combined coal rock,the influence of surrounding rock is not considered.The dynamic failure charac-teristics of combined coal under confining pressure need to be further studied by experimental and numerical simulation methods.
引文
[1]谢和平,周宏伟,刘建锋,等.不同开采条件下采动力学行为研究[J].煤炭学报,2011,36(7):1067-1074.XIE Heping,ZHOU Hongwei,LIU Jianfeng,et al.Induced-mechanical behavior in coal seams under different mining layouts[J].Journal of China Coal Society,2011,36(7):1067-1074.
[2]刘少虹.动静加载下组合煤岩破坏失稳的突变模型和混沌机制[J].煤炭学报,2014,39(2):292-300.LIU Shaohong. Nonlinear catastrophy model and chaotic dynamic mechanism of compound coal-rock unstable failure under coupled static-dynamic loading[J]. Journal of China Coal Society,2014,39(2):292-300.
[3]赵毅鑫,姜耀东,祝捷,等.煤岩组合体变形破坏前兆信息的试验研究[J].岩石力学与工程学报,2008,27(2):339-346.ZHAO Yixin,JIANG Yaodong,ZHU Jie,et al.Experimental study on precursory information of deformations of coal-rock composite samples before failure[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(2):339-346.
[4]张泽天,刘建锋,王璐,等.组合方式对煤岩组合体力学特性和破坏特征影响的试验研究[J].煤炭学报,2012,37(10):1677-1681.ZHANG Zetian,LIU Jianfeng,WANG Lu,et al. Effects of combination mode on mechanical properties and failure characteristics of the coal-rock combinations[J]. Journal of China Coal Society,2012,37(10):1677-1681.
[5]左建平,陈岩,崔凡.不同煤岩组合体力学特性差异及冲击倾向性分析[J].中国矿业大学学报,2018,47(1):81-87.ZUO Jianping,CHEN Yan,CUI Fan. Investigation on mechanical properties and rock burst tendency of different coal-rock combined bodies[J]. Journal of China University of Mining&Technology,2018,47(1):81-87.
[6]宫凤强,叶豪,罗勇.低加载率范围内煤岩组合体冲击倾向性的率效应试验研究[J].煤炭学报,2017,42(11):2852-2860.GONG Fengqiang,YE Hao,LUO Yong.Rate effect on the burst tendency of coal-rock combined body under low loading rate range[J].Journal of China Coal Society,2017,42(11):2852-2860.
[7]王晨,师启龙,胡俊,等.含单一夹矸组合煤岩试样的失稳机理研究[J].中国石油和化工标准与质量,2017,37(15):124-126.WANG Chen,SHI Qilong,HU Jun,et al. Experimental study on inclusive soil fighting disappeared by satellite[J]. China Petroleum and Chemical Standard and Quality,2017,37(15):124-126.
[8]郭东明,左建平,张毅,等.不同倾角组合煤岩体的强度与破坏机制研究[J].岩土力学,2011,32(5):1333-1339.GUO Dongming,ZUO Jianping,ZHANG Yi,et al. Research on strength and failure mechanism of deep coal-rock combination bodies of different inclined angles[J]. Rock and Soil Mechanics,2011,32(5):1333-1339.
[9]肖晓春,樊玉峰,吴迪,等.组合煤岩力学性质与声-电荷信号关系研究[J].中国安全生产科学技术,2018,2(2):126-132.XIAO Xiaochun,FAN Yufeng,WU Di,et al. Study on relationship between mechanical properties and acoustic emission-charge signals of combined coal-rock[J].Journal of Safety Science and Technology,2018,2(2):126-132.
[10]薛俊华,刘超,王龙.组合串联煤岩冲击倾向性影响因素数值模拟[J].西安科技大学学报,2016,36(1):65-69.XUE Junhua,LIU Chao,WANG Long. Numerical simulation of influential factors for bursting liability in the combination of series of coal and rock[J]. Journal of Xi’an University of Science and Technology,2016,36(1):65-69.
[11]于亚伦.岩石动力学[J].北京:北京科技大学铅印教材,1990:201-203.
[12] LINDHOLM U S,YEAKLEY L M,NAGY A.The dynamic strength and fracture properties of dresser basalt[J]. Int. J. Rock Mech.Min.Sci.&Geomech.Abstr,1974,11(2):181-191.
[13]郑永来,夏颂佑.岩石黏弹性连续损伤本构模型[J].岩石力学与工程学报,1996,15(S):428-432.ZHENG Yonglai,XIA Songyou. The constitutive model of rock viscoelastic continuum damage[J]. Chinese Journal of Rock Mechanics and Engineering,1996,15(S):428-432.
[14]单仁亮,薛友松,张倩.岩石动态破坏的时效损伤本构模型[J].岩石力学与工程学报,2003,22(11):1771-1776.SHAN Renliang,XUE Yousong,ZHANG Qian. Time dependent damage model of rock under dynamic loading[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(11):1771-1776.
[15]单仁亮,程瑞强,高文蛟.云驾岭煤矿无烟煤的动态本构模型研究[J].岩石力学与工程学报,2006,25(11):2258-2263.SHAN Renliang,CHENG Ruiqiang,GAO Wenjiao. Study on dynamic constitutive model ofanthracite of Yunjialing coal mine[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(11):2258-2263.
[16]付玉凯,解北京,王启飞.煤的动态力学本构模型[J].煤炭学报,2013,38(10):1769-1774.FU Yukai,XIE Beijing,WANG Qifei.Dynamic mechanical constitutive model of the coal[J]. Journal of China Coal Society,2013,38(10):1769-1774.
[17]解北京,王新艳,吕平洋.层理煤岩SHPB冲击破坏动态力学特性实验[J].振动与冲击,2017,36(21):117-124.XIE Beijing,WANG Xinyan,LPingyang. Dynamic properties of bedding coal and rock and the SHPB testing for its impact damage[J].Journal of Vibration and Shock,2017,36(21):117-124.
[18]卢芳云,陈荣,林玉亮,等.霍普金森杆实验技术[M].北京:科学出版社,2013:1-2.
[19]李胜林,刘殿书,李祥龙,等.75 mm分离式霍普金森压杆试件长度效应的实验研究[J].中国矿业大学学报,2010,39(1):93-97.LI Shenglin,LIU Dianshu,LI Xianglong,et al. The effect of specimen length in75 mm Split Hopkinson pressure bar experiment[J].Journal of China University of Mining&Technology,2010,39(1):93-97.
[20]陶俊林,陈裕泽,田常津,等.SHPB系统圆柱形试件的惯性效应分析[J].固体力学学报,2005,26(1):107-110.TAO Junlin,CHEN Yuze,TIAN Changjin,et al.Analysis of the inertial effect of the cylindrical specimen in SHPB system[J]. Chinese Journal of Solid Mechanics,2005,26(1):107-110.
[21] DAVIES E D H,HUNTER S C.The dynamic compression testing of solids by the method of the split Hopkins on pressure bar[J].Journal of the Mechanics and Physics of Solids,1963,11:155-179.
[22]冯明德,彭艳菊,刘永强,等.SHPB实验技术研究[J].地球物理学进展,2006,21(1):273-278.FENG Mingde,PENG Yanju,LIU Yongqiang,et al. Study on SHPB technique[J]. Progress in Geophysics,2006,21(1):273-278.
[23]李成武,解北京,杨威,等.基于HHT法的煤冲击破坏SHPB测试信号去噪[J].煤炭学报,2012,37(11):1796-1802.LI Chengwu,XIE Beijing,YANG Wei,et al. Coal impact damage SHPB testing signal de-noising based on HHT method[J].Journal of China Coal Society,2012,37(11):1796-1802.
[24]储燕飞.基于SHPB试验的煤体动态力学特性研究[D].淮南:安徽理工大学,2017.CHU Yanfei.Study on dynamic mechanical properties of coal based[D].Huainan:Anhui University of Science and Technology,2017.
[25]郑广辉,许金余,王浩宇,等.方形岩石试件冲击载荷下的动力响应分析[J].矿冶工程,2017,37(6):7-11.ZHENG Guanghui,XU Jinyu,WANG Haoyu,et al. Dynamic response analysis of square rock specimen under impact load[J].Mining and Metallurgical Engineering,2017,37(6):7-11.
[26]东兆星,单仁亮.高应变率下岩石本构特性的研究[J].工程爆破,1999,5(2):5-9.DONG Zhaoxing,SHAN Renliang. Study on constitutive properties of rocks under high strain rates[J]. Engineering Blasting,1999,5(2):5-9.
[27]范厚彬,樊志华,陆耀忠.基于层叠模型的岩土材料流变本构关系识别[J].岩石力学与工程学报,2005,24(5):768-773.FAN Houbin,FAN Zhihua,LU Yaozhong.Identification of rheological constitutive relation of engineering material based on overlayer model[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(5):768-773.
[28]叶琳,董永香,赵红平.多层复合介质中的应力波传播[A].全国工程结构安全防护学术会议[C].2005.YE Lin,DONG Yongxiang,ZHAO Hongping. Stress wave propagation in multi-layered composite media[A].National Conference on Engineering Structure Safety Protection[C],2005.
[29]李成武,解北京,杨威.煤冲击破坏过程中的近距离瞬变磁场变化特征研究[J].岩石力学与工程学报,2012,31(5):973-981.LI Chengwu,XIE Beijing,YANG Wei. Charactertics of transient magnetic nearby field in process of coal impact damage[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(5):973-981.
[2]刘少虹.动静加载下组合煤岩破坏失稳的突变模型和混沌机制[J].煤炭学报,2014,39(2):292-300.LIU Shaohong. Nonlinear catastrophy model and chaotic dynamic mechanism of compound coal-rock unstable failure under coupled static-dynamic loading[J]. Journal of China Coal Society,2014,39(2):292-300.
[3]赵毅鑫,姜耀东,祝捷,等.煤岩组合体变形破坏前兆信息的试验研究[J].岩石力学与工程学报,2008,27(2):339-346.ZHAO Yixin,JIANG Yaodong,ZHU Jie,et al.Experimental study on precursory information of deformations of coal-rock composite samples before failure[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(2):339-346.
[4]张泽天,刘建锋,王璐,等.组合方式对煤岩组合体力学特性和破坏特征影响的试验研究[J].煤炭学报,2012,37(10):1677-1681.ZHANG Zetian,LIU Jianfeng,WANG Lu,et al. Effects of combination mode on mechanical properties and failure characteristics of the coal-rock combinations[J]. Journal of China Coal Society,2012,37(10):1677-1681.
[5]左建平,陈岩,崔凡.不同煤岩组合体力学特性差异及冲击倾向性分析[J].中国矿业大学学报,2018,47(1):81-87.ZUO Jianping,CHEN Yan,CUI Fan. Investigation on mechanical properties and rock burst tendency of different coal-rock combined bodies[J]. Journal of China University of Mining&Technology,2018,47(1):81-87.
[6]宫凤强,叶豪,罗勇.低加载率范围内煤岩组合体冲击倾向性的率效应试验研究[J].煤炭学报,2017,42(11):2852-2860.GONG Fengqiang,YE Hao,LUO Yong.Rate effect on the burst tendency of coal-rock combined body under low loading rate range[J].Journal of China Coal Society,2017,42(11):2852-2860.
[7]王晨,师启龙,胡俊,等.含单一夹矸组合煤岩试样的失稳机理研究[J].中国石油和化工标准与质量,2017,37(15):124-126.WANG Chen,SHI Qilong,HU Jun,et al. Experimental study on inclusive soil fighting disappeared by satellite[J]. China Petroleum and Chemical Standard and Quality,2017,37(15):124-126.
[8]郭东明,左建平,张毅,等.不同倾角组合煤岩体的强度与破坏机制研究[J].岩土力学,2011,32(5):1333-1339.GUO Dongming,ZUO Jianping,ZHANG Yi,et al. Research on strength and failure mechanism of deep coal-rock combination bodies of different inclined angles[J]. Rock and Soil Mechanics,2011,32(5):1333-1339.
[9]肖晓春,樊玉峰,吴迪,等.组合煤岩力学性质与声-电荷信号关系研究[J].中国安全生产科学技术,2018,2(2):126-132.XIAO Xiaochun,FAN Yufeng,WU Di,et al. Study on relationship between mechanical properties and acoustic emission-charge signals of combined coal-rock[J].Journal of Safety Science and Technology,2018,2(2):126-132.
[10]薛俊华,刘超,王龙.组合串联煤岩冲击倾向性影响因素数值模拟[J].西安科技大学学报,2016,36(1):65-69.XUE Junhua,LIU Chao,WANG Long. Numerical simulation of influential factors for bursting liability in the combination of series of coal and rock[J]. Journal of Xi’an University of Science and Technology,2016,36(1):65-69.
[11]于亚伦.岩石动力学[J].北京:北京科技大学铅印教材,1990:201-203.
[12] LINDHOLM U S,YEAKLEY L M,NAGY A.The dynamic strength and fracture properties of dresser basalt[J]. Int. J. Rock Mech.Min.Sci.&Geomech.Abstr,1974,11(2):181-191.
[13]郑永来,夏颂佑.岩石黏弹性连续损伤本构模型[J].岩石力学与工程学报,1996,15(S):428-432.ZHENG Yonglai,XIA Songyou. The constitutive model of rock viscoelastic continuum damage[J]. Chinese Journal of Rock Mechanics and Engineering,1996,15(S):428-432.
[14]单仁亮,薛友松,张倩.岩石动态破坏的时效损伤本构模型[J].岩石力学与工程学报,2003,22(11):1771-1776.SHAN Renliang,XUE Yousong,ZHANG Qian. Time dependent damage model of rock under dynamic loading[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(11):1771-1776.
[15]单仁亮,程瑞强,高文蛟.云驾岭煤矿无烟煤的动态本构模型研究[J].岩石力学与工程学报,2006,25(11):2258-2263.SHAN Renliang,CHENG Ruiqiang,GAO Wenjiao. Study on dynamic constitutive model ofanthracite of Yunjialing coal mine[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(11):2258-2263.
[16]付玉凯,解北京,王启飞.煤的动态力学本构模型[J].煤炭学报,2013,38(10):1769-1774.FU Yukai,XIE Beijing,WANG Qifei.Dynamic mechanical constitutive model of the coal[J]. Journal of China Coal Society,2013,38(10):1769-1774.
[17]解北京,王新艳,吕平洋.层理煤岩SHPB冲击破坏动态力学特性实验[J].振动与冲击,2017,36(21):117-124.XIE Beijing,WANG Xinyan,LPingyang. Dynamic properties of bedding coal and rock and the SHPB testing for its impact damage[J].Journal of Vibration and Shock,2017,36(21):117-124.
[18]卢芳云,陈荣,林玉亮,等.霍普金森杆实验技术[M].北京:科学出版社,2013:1-2.
[19]李胜林,刘殿书,李祥龙,等.75 mm分离式霍普金森压杆试件长度效应的实验研究[J].中国矿业大学学报,2010,39(1):93-97.LI Shenglin,LIU Dianshu,LI Xianglong,et al. The effect of specimen length in75 mm Split Hopkinson pressure bar experiment[J].Journal of China University of Mining&Technology,2010,39(1):93-97.
[20]陶俊林,陈裕泽,田常津,等.SHPB系统圆柱形试件的惯性效应分析[J].固体力学学报,2005,26(1):107-110.TAO Junlin,CHEN Yuze,TIAN Changjin,et al.Analysis of the inertial effect of the cylindrical specimen in SHPB system[J]. Chinese Journal of Solid Mechanics,2005,26(1):107-110.
[21] DAVIES E D H,HUNTER S C.The dynamic compression testing of solids by the method of the split Hopkins on pressure bar[J].Journal of the Mechanics and Physics of Solids,1963,11:155-179.
[22]冯明德,彭艳菊,刘永强,等.SHPB实验技术研究[J].地球物理学进展,2006,21(1):273-278.FENG Mingde,PENG Yanju,LIU Yongqiang,et al. Study on SHPB technique[J]. Progress in Geophysics,2006,21(1):273-278.
[23]李成武,解北京,杨威,等.基于HHT法的煤冲击破坏SHPB测试信号去噪[J].煤炭学报,2012,37(11):1796-1802.LI Chengwu,XIE Beijing,YANG Wei,et al. Coal impact damage SHPB testing signal de-noising based on HHT method[J].Journal of China Coal Society,2012,37(11):1796-1802.
[24]储燕飞.基于SHPB试验的煤体动态力学特性研究[D].淮南:安徽理工大学,2017.CHU Yanfei.Study on dynamic mechanical properties of coal based[D].Huainan:Anhui University of Science and Technology,2017.
[25]郑广辉,许金余,王浩宇,等.方形岩石试件冲击载荷下的动力响应分析[J].矿冶工程,2017,37(6):7-11.ZHENG Guanghui,XU Jinyu,WANG Haoyu,et al. Dynamic response analysis of square rock specimen under impact load[J].Mining and Metallurgical Engineering,2017,37(6):7-11.
[26]东兆星,单仁亮.高应变率下岩石本构特性的研究[J].工程爆破,1999,5(2):5-9.DONG Zhaoxing,SHAN Renliang. Study on constitutive properties of rocks under high strain rates[J]. Engineering Blasting,1999,5(2):5-9.
[27]范厚彬,樊志华,陆耀忠.基于层叠模型的岩土材料流变本构关系识别[J].岩石力学与工程学报,2005,24(5):768-773.FAN Houbin,FAN Zhihua,LU Yaozhong.Identification of rheological constitutive relation of engineering material based on overlayer model[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(5):768-773.
[28]叶琳,董永香,赵红平.多层复合介质中的应力波传播[A].全国工程结构安全防护学术会议[C].2005.YE Lin,DONG Yongxiang,ZHAO Hongping. Stress wave propagation in multi-layered composite media[A].National Conference on Engineering Structure Safety Protection[C],2005.
[29]李成武,解北京,杨威.煤冲击破坏过程中的近距离瞬变磁场变化特征研究[J].岩石力学与工程学报,2012,31(5):973-981.LI Chengwu,XIE Beijing,YANG Wei. Charactertics of transient magnetic nearby field in process of coal impact damage[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(5):973-981.