含X型交叉裂隙的岩体力学特性数值分析
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摘要
基于FLAC~(3D)数值计算软件,首先采用超细单元划分法对计算模型进行剖分以模拟线状裂隙扩展特征,其次采用弹脆性模型及空模型分别刻画岩石及裂隙的力学行为。数值模拟计算结果表明,在两裂隙对称分布的情况下,其夹角及长度对试件破坏模式的影响不大,但是试件强度随裂隙夹角及长度的增加而逐渐减小;当其中一条裂隙长度逐渐增加到与另一条裂隙长度相同时,试件破坏模式也逐渐由较长裂隙控制的单裂隙破坏形式转变为双裂隙同时扩展的对称破坏模式,试件强度也随着裂隙长度的增加而增加;当其中一条裂隙的长度不变,而倾角变化时,试件破坏也呈现单裂隙控制的破坏模式,但相应的试件强度变化规律比较复杂。
Based on numerical calculation software FLAC~(3D),the superfine element division method was firstly adopted to divide the calculation model to simulate characteristics of linear fracture propagation,and then the elastic-brittle model and null models were used to describe the mechanical behavior of rock and cracks respectively.The numerical results showed that under symmetrical distribution of these two cracks,the angle and length between cracks had little effect on failure mode of sample,but the sample strength decreased with the increase of the angle and length between cracks.When the length of one crack gradually increased to the same with that of the other,the failure mode of sample gradually changed from single-crack-controlling mode controlled by long crack to the two-crack-controlling symmetrical failure mode,and the sample strength also increased with the increase of crack length.Meanwhile,when one crack length remained constant and the inclination changed,the failure of the sample presented a single-crack-controlling mode,but the variation law of the corresponding sample was rather complicated.
Based on numerical calculation software FLAC~(3D),the superfine element division method was firstly adopted to divide the calculation model to simulate characteristics of linear fracture propagation,and then the elastic-brittle model and null models were used to describe the mechanical behavior of rock and cracks respectively.The numerical results showed that under symmetrical distribution of these two cracks,the angle and length between cracks had little effect on failure mode of sample,but the sample strength decreased with the increase of the angle and length between cracks.When the length of one crack gradually increased to the same with that of the other,the failure mode of sample gradually changed from single-crack-controlling mode controlled by long crack to the two-crack-controlling symmetrical failure mode,and the sample strength also increased with the increase of crack length.Meanwhile,when one crack length remained constant and the inclination changed,the failure of the sample presented a single-crack-controlling mode,but the variation law of the corresponding sample was rather complicated.
引文
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[16]舒杨,吴继敏,岳翎,等.基于颗粒流数值模拟的交叉裂隙岩体剪切裂隙特征研究[J].水电能源科学,2017,35(1):132-137.
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[2]Zhou XP,Cheng H,Feng YF.An experimental study of crack coalescence behaviour in rock-like materials containing multiple flaws under uniaxial compression[J].Rock Mechanics and Rock Engineering,2014(47):1961-1986.
[3]Wang SY,Sloan SW,Sheng DC,et al.Numerical study of failure behaviour of pre-cracked rock specimens under conventional triaxial compression[J].International Journal of Solids and Structures,2014(51):1132-1148.
[4]Liu Hongyan,Zhang Limin.A Damage Constitutive Model for Rock Mass with Non-persistently Closed Joints under U-niaxial Compression,Arabian Journal for Science and Engineering,2015,40(1):3107-3117.
[5]Liu Hongyan,Su Tianming.A dynamic damage constitutive model for a rock mass with non-persistent joints under uniaxial compression,Mechanics Research Communications,2016(77):12-20.
[6]刘红岩,李俊峰,裴小龙.单轴压缩下断续节理岩体动态损伤本构模型[J].爆炸与冲击,2018,38(2):316-323.
[7]Huang Yanhua,Yang Shengqi,Zhao Jian.Three-dimensional numerical simulation on triaxial failure mechanical behavior of rock-like specimen containing two unparallel fissures[J].Rock Mechanics and Rock Engineering,2016(49):4711-4729.
[8]An Xinmei,Ning Youjun,Ma Guowei,et al.Modeling progressive failures in rock slopes with non-persistent joints using the numerical manifoldmethod[J].International Journal for Numerical and Analytical Methods in Geomechanics,2014,38(7):679-701.
[9]Ning YJ,An XM,Ma GW.Footwall slope stability analysis with the numerical manifold method[J].International Journal of Rock Mechanics and Mining Sciences,2011,48(6):964-975.
[10]刘东燕,朱可善,范景伟.双向应力作用下X型断续节理岩体的强度特性研究[J].重庆建筑工程学院学报,1991,13(4):40-46.
[11]Cao Rihong,Lin Hang.Experimental and numerical study of failure behavior and energy mechanics of rock-like materials containing multiple joints[J].Advances in Materials Science and Engineering,2017,Article ID 6460150,17pages.
[12]Kulatilake P,Malama B,Wang J.Physical and particle flow modeling of jointed rock block behavior under uniaxial loading[J].International Journal of Rock Mechanics and Mining Sciences,2001,38(5):641-657.
[13]Yin Dawei,Chen Shaojie,Liu Xingquan,et al.Simulation study on strength and failure characteristics for granite with a set of cross-joints of different lengths[J].Advances in Civil Engineering,2018,Article ID 2384579,10pages.
[14]黄彦华,杨圣奇.含两组交叉节理砂岩强度及破坏特征离散元分析[J].煤炭学报,2015,40(S1):76-84.
[15]崔玉龙.脆性材料中三维张开型十字交叉裂隙扩展机理的试验研究[D].重庆:重庆大学,2015.
[16]舒杨,吴继敏,岳翎,等.基于颗粒流数值模拟的交叉裂隙岩体剪切裂隙特征研究[J].水电能源科学,2017,35(1):132-137.
[17]章青,杨静,夏晓舟.交叉型裂纹扩展模拟的一种有效方法[J].中国科学:物理学力学天文学,2014,44(5):539-546.
[18]Itasca Consulting Group Inc.FLAC3D:Fast Lagrangian A-nalysis of Continua in 3Dimensions,user’s guide(version5.0)[M].Itasca Consulting Group Inc.,Minneapolis,Minnesota,2012.
[19]FU JW,CHEN K,ZHU WS,et al.Progressive failure of new modeling material with a single internal crack under biaxial compression and the 3Dnumerical simulation[J].Engineering Fracture Mechanics,2016(165):140-152.