颗粒流细观强度参数与岩石断裂韧度之间的关系
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摘要
为研究岩石颗粒流分析模型中细观强度参数的物理意义,以接触黏结模型(CBM)中等效微梁的模型为基础,通过对2个黏结颗粒的拉伸和剪切状态进行分析,推导岩石颗粒流细观应力和断裂强度因子关系的理论公式,进而建立强度参数与岩石断裂韧度关系的理论模型。分析结果表明,岩石断裂韧度与细观强度呈线性关系。岩石颗粒最小粒径与颗粒半径比均对断裂强度因子有不利影响,且颗粒半径比的影响较大。以重庆地区砂岩为例,给出岩石断裂韧度与颗粒流细观强度之间的定量表达式,结果表明,岩石I型断裂韧度理论计算值范围与实测值较为相符。
To study the physical meaning of strength meso-parameters of particle flow code(PFC),based on equivalent meso-beam of contact-bond model(CBM),tensional and shear states of two particles are analyzed.Relation between meso-stress of particles and fracture strength factors are derived.Then theoretical model between strength meso-parameters of PFC and fracture toughness of rock is established.There is a linear relationship between strength meso-parameters and fracture toughness.Besides,minimum radius and radius ratio of particle,especially the latter,have adverse effects on fracture strength factors of rock.Taking the sandstone of Chongqing for example,quantified expression between fracture toughness of rock and meso-parameters of PFC is established.The range of KIC calculated by meso-parameter of PFC fit the experimental data.
To study the physical meaning of strength meso-parameters of particle flow code(PFC),based on equivalent meso-beam of contact-bond model(CBM),tensional and shear states of two particles are analyzed.Relation between meso-stress of particles and fracture strength factors are derived.Then theoretical model between strength meso-parameters of PFC and fracture toughness of rock is established.There is a linear relationship between strength meso-parameters and fracture toughness.Besides,minimum radius and radius ratio of particle,especially the latter,have adverse effects on fracture strength factors of rock.Taking the sandstone of Chongqing for example,quantified expression between fracture toughness of rock and meso-parameters of PFC is established.The range of KIC calculated by meso-parameter of PFC fit the experimental data.
引文
[1]CUNDALL P A,STRACK O D L.A discrete numerical model forgranular assemblies[J].Geotechnique,1979,29(1):47-65.
[2]周健,池永,池毓蔚,等.颗粒流方法及PFC2D程序[J].岩土力学,2000,21(3):271-274.(ZHOU Jian,CHI Yong,CHI Yuwei,et al.Method of particle flow and PFC2D code[J].Rock and SoilMechanics,2000,21(3):271-274.(in Chinese))
[3]周健,池毓蔚,池永,等.砂土双轴试验的颗粒流模拟[J].岩土工程学报,2000,22(6):701-704.(ZHOU Jian,CHI Yuwei,CHI Yong,et al.Simulation of biaxial test on sand by particle flowcode[J].Chinese Journal of Geotechnical Engineering,2000,22(6):701-704.(in Chinese))
[4]周健,池永.土的工程力学性质的颗粒流模拟[J].固体力学学报,2004,25(4):377-382.(ZHOU Jian,CHI Yong.Simulating soilproperties by particle flow code[J].Acta Mechanica Solida Sinica,2004,25(4):377-382.(in Chinese))
[5]ZHOU J,SU Y,CHI Y.Simulation of soil properties by particle flowcode[J].Chinese Journal of Geotechnical Engineering,2006,28(3):390-396.
[6]曾庆有,周健.不同墙体位移方式下被动土压力的颗粒流模拟[J].岩土力学,2005,26(增):43-47.(ZENG Qingyou,ZHOUJian.Analysis of passive earth pressure due to various wall movements byparticle flow code[J].Rock and Soil Mechanics,2005,26(Supp.):43-47.(in Chinese))
[7]吴顺川,张晓平,刘洋.基于颗粒元模拟的含软弱夹层类土质边坡变形破坏过程分析[J].岩土力学,2008,29(11):2 899-2 904.(WU Shunchuan,ZHANG Xiaoping,LIU Yang.Analysis of failureprocess of similar soil slope with weak intercalated layer based onparticle flow simulation[J].Rock and Soil Mechanics,2008,29(11):2 899-2 904.(in Chinese))
[8]周健,王家全,曾远,等.土坡稳定分析的颗粒流模拟[J].岩土力学,2009,30(1):86-90.(ZHOU Jian,WANG Jiaquan,ZENGYuan,et al.Simulation of slope stability analysis by particle flowcode[J].Rock and Soil Mechanics,2009,30(1):86-90.(in Chinese))
[9]POTYONDY D O,CUNDALL P A.A bonded-particle model forrock[J].International Journal of Rock Mechanics and Mining Sciences,2004,41(8):1 329-1 364.
[10]CHO N,MARTIN C D,SEGO D C.A clumped particle model forrock[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(7):997-1 010.
[11]BACKSTROM A,ANTIKAINEN J,BACKERS T,et al.Numericalmodeling of uniaxial compressive failure of granite with and withoutsaline pore water[J].International Journal of Rock Mechanics andMining Sciences,2008,45(7):1 126-1 142.
[12]HSIEH Y M,LI H H,HUANG T H,et al.Interpretations on how themacroscopic mechanical behavior of sandstone affected by microscopicproperties-revealed by bonded-particle model[J].Engineering Geology,2008,99(1/2):1-10.
[13]刘顺桂,刘海宁,王思敬.断续节理直剪试验与PFC2D数值模拟分析[J].岩石力学与工程学报,2008,27(9):1828-1836.(LIUShungui,LIU Haining,WANG Sijing.Direct shear tests and PFC2Dnumerical simulation of intermittent joints[J].Chinese Journal of RockMechanics and Engineering,2008,27(9):1 828-1 836.(in Chinese))
[14]尹小涛,葛修润,李春光,等.加载速率对岩石材料力学行为的影响[J].岩石力学与工程学报,2010,29(增1):2 610-2 615.(YINXiaotao,GE Xiurun,LI Chunguang,et al.Influences of loading rateson mechanical behaviors of rock materials[J].Chinese Journal of RockMechanics and Engineering,2010,29(Supp.1):2 610-2 615.(inChinese))
[15]尹小涛,葛修润,李春光,等.基于数值实验的岩石试样最佳长径比研究[J].岩石力学与工程学报,2010,29(增2):3 608-3 615.(YIN Xiaotao,GE Xiurun,LI Chunguang,et al.Study of optimallength-diameter ratio of rock specimen based on numerical tests[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(Supp.2):3 608-3 615.(in Chinese))
[16]JEOUNGSEOK Y.Application of experimental design and optimization toPFC model calibration in uniaxial compression simulation[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(6):871-889.
[17]LAWN B R,WILSHAW T R.脆性固体断裂力学[M].陈颙,尹详础译.北京:地震出版社,1985:5-8.(LAWN B R,WILSHAWT R.Fracture of brittle solids[M].Translated by CHEN Yong,YINXiangchu.Beijing:Earthquake Press,1985:5-8.(in Chinese))
[18]傅晏.干湿循环水-岩相互作用下岩石劣化机制研究[博士学位论文][D].重庆:重庆大学,2010.(FU Yan.Study on water-rockinteraction with the cyclic drying-wetting effect on rock[Ph.D.Thesis][D].Chongqing:Chongqing University,2010.(in Chinese))
[19]黄志鹏,朱可善,郭映忠.重庆砂岩三点弯曲断裂及声发射试验研究[J].地下空间,1998,18(1):23-26.(HUANG Zhipeng,ZHUKeshan,GUO Yingzhong.Experiments on three point bendingrupture and acoustic emission of Chongqing sandstones[J].UndergroundSpace,1998,18(1):23-26.(in Chinese))
[20]BACKERS T.Fracture toughness determination and micromechanicsof rock under mode I and mode II loading[Ph.D.Thesis][D].Potsdam,Germany:University of Potsdam,2005.
[2]周健,池永,池毓蔚,等.颗粒流方法及PFC2D程序[J].岩土力学,2000,21(3):271-274.(ZHOU Jian,CHI Yong,CHI Yuwei,et al.Method of particle flow and PFC2D code[J].Rock and SoilMechanics,2000,21(3):271-274.(in Chinese))
[3]周健,池毓蔚,池永,等.砂土双轴试验的颗粒流模拟[J].岩土工程学报,2000,22(6):701-704.(ZHOU Jian,CHI Yuwei,CHI Yong,et al.Simulation of biaxial test on sand by particle flowcode[J].Chinese Journal of Geotechnical Engineering,2000,22(6):701-704.(in Chinese))
[4]周健,池永.土的工程力学性质的颗粒流模拟[J].固体力学学报,2004,25(4):377-382.(ZHOU Jian,CHI Yong.Simulating soilproperties by particle flow code[J].Acta Mechanica Solida Sinica,2004,25(4):377-382.(in Chinese))
[5]ZHOU J,SU Y,CHI Y.Simulation of soil properties by particle flowcode[J].Chinese Journal of Geotechnical Engineering,2006,28(3):390-396.
[6]曾庆有,周健.不同墙体位移方式下被动土压力的颗粒流模拟[J].岩土力学,2005,26(增):43-47.(ZENG Qingyou,ZHOUJian.Analysis of passive earth pressure due to various wall movements byparticle flow code[J].Rock and Soil Mechanics,2005,26(Supp.):43-47.(in Chinese))
[7]吴顺川,张晓平,刘洋.基于颗粒元模拟的含软弱夹层类土质边坡变形破坏过程分析[J].岩土力学,2008,29(11):2 899-2 904.(WU Shunchuan,ZHANG Xiaoping,LIU Yang.Analysis of failureprocess of similar soil slope with weak intercalated layer based onparticle flow simulation[J].Rock and Soil Mechanics,2008,29(11):2 899-2 904.(in Chinese))
[8]周健,王家全,曾远,等.土坡稳定分析的颗粒流模拟[J].岩土力学,2009,30(1):86-90.(ZHOU Jian,WANG Jiaquan,ZENGYuan,et al.Simulation of slope stability analysis by particle flowcode[J].Rock and Soil Mechanics,2009,30(1):86-90.(in Chinese))
[9]POTYONDY D O,CUNDALL P A.A bonded-particle model forrock[J].International Journal of Rock Mechanics and Mining Sciences,2004,41(8):1 329-1 364.
[10]CHO N,MARTIN C D,SEGO D C.A clumped particle model forrock[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(7):997-1 010.
[11]BACKSTROM A,ANTIKAINEN J,BACKERS T,et al.Numericalmodeling of uniaxial compressive failure of granite with and withoutsaline pore water[J].International Journal of Rock Mechanics andMining Sciences,2008,45(7):1 126-1 142.
[12]HSIEH Y M,LI H H,HUANG T H,et al.Interpretations on how themacroscopic mechanical behavior of sandstone affected by microscopicproperties-revealed by bonded-particle model[J].Engineering Geology,2008,99(1/2):1-10.
[13]刘顺桂,刘海宁,王思敬.断续节理直剪试验与PFC2D数值模拟分析[J].岩石力学与工程学报,2008,27(9):1828-1836.(LIUShungui,LIU Haining,WANG Sijing.Direct shear tests and PFC2Dnumerical simulation of intermittent joints[J].Chinese Journal of RockMechanics and Engineering,2008,27(9):1 828-1 836.(in Chinese))
[14]尹小涛,葛修润,李春光,等.加载速率对岩石材料力学行为的影响[J].岩石力学与工程学报,2010,29(增1):2 610-2 615.(YINXiaotao,GE Xiurun,LI Chunguang,et al.Influences of loading rateson mechanical behaviors of rock materials[J].Chinese Journal of RockMechanics and Engineering,2010,29(Supp.1):2 610-2 615.(inChinese))
[15]尹小涛,葛修润,李春光,等.基于数值实验的岩石试样最佳长径比研究[J].岩石力学与工程学报,2010,29(增2):3 608-3 615.(YIN Xiaotao,GE Xiurun,LI Chunguang,et al.Study of optimallength-diameter ratio of rock specimen based on numerical tests[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(Supp.2):3 608-3 615.(in Chinese))
[16]JEOUNGSEOK Y.Application of experimental design and optimization toPFC model calibration in uniaxial compression simulation[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(6):871-889.
[17]LAWN B R,WILSHAW T R.脆性固体断裂力学[M].陈颙,尹详础译.北京:地震出版社,1985:5-8.(LAWN B R,WILSHAWT R.Fracture of brittle solids[M].Translated by CHEN Yong,YINXiangchu.Beijing:Earthquake Press,1985:5-8.(in Chinese))
[18]傅晏.干湿循环水-岩相互作用下岩石劣化机制研究[博士学位论文][D].重庆:重庆大学,2010.(FU Yan.Study on water-rockinteraction with the cyclic drying-wetting effect on rock[Ph.D.Thesis][D].Chongqing:Chongqing University,2010.(in Chinese))
[19]黄志鹏,朱可善,郭映忠.重庆砂岩三点弯曲断裂及声发射试验研究[J].地下空间,1998,18(1):23-26.(HUANG Zhipeng,ZHUKeshan,GUO Yingzhong.Experiments on three point bendingrupture and acoustic emission of Chongqing sandstones[J].UndergroundSpace,1998,18(1):23-26.(in Chinese))
[20]BACKERS T.Fracture toughness determination and micromechanicsof rock under mode I and mode II loading[Ph.D.Thesis][D].Potsdam,Germany:University of Potsdam,2005.
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