A Study of the Failure Mechanism of Planar Non-Persistent Open Joints Using PFC2D

Particle flow code 2D (PFC2D) was adopted to simulate the shear behavior of rocklike material samples containing planar non-persistent joints. Direct shear loading was conducted to investigate the effect of joint separation on the failure behavior of rock bridges. Initially calibration of PFC was undertaken with respect to the data obtained from experimental laboratory tests to ensure the conformity of the simulated numerical models response. Furthermore, validation of the simulated models were cross checked with the results of direct shear tests performed on non-persistent jointed physical models. Through numerical direct shear tests, the failure process was visually observed, and the failure patterns were found reasonably similar to the experimentally observed trends. The discrete element simulations demonstrated that the macro-scale shear zone resulted from the progressive failure of the tension-induced micro-cracks. The failure pattern was mostly influenced by joint separation, while the shear strength was linked to the failure pattern and failure mechanism. Furthermore, it was observed that the failure zone is relatively narrow and has a symmetrical pattern when rock bridges occupy a low percentage of the total shear surface. This may be due to the high stress interactions between the subsequent joints separated by a rock bridge. In contrast, when rock bridges are occupying sufficient area prohibiting the stress interactions to occur then the rupture of surface is more complex and turns into a shear zone. This zone was observed to be relatively thick with an unsymmetrical pattern. The shear strength of rock bridges is reduced by increasing the joint length as a result of increasing both the stress concentration at tip of the joints and the stress interaction between the joints.     

类节理岩石直剪试验力学特性的数值模拟研究

节理岩体的剪切特性是主导岩体工程稳定性的关键因素。基于PFC2D离散元颗粒流程序,结合室内试验结果对比分析,选取合理的细观参数进行数值模拟,分别从细观角度研究了节理岩石的裂纹发展、能量转化及声发射现象等特性,从宏观角度研究了节理岩石的强度模型和破坏形态。结果表明：节理岩体主要呈现磨损和剪断两种破坏形态,不同的破坏形态对应不同的强度模型;随着剪切变形增加,岩体沿节理面发生破坏,弹性阶段以法向裂纹为主,而塑性阶段切向裂纹起主导作用,滑移区R、P裂纹贯通形成破碎带,节理面产生较大滑移;在应力达到峰值强度前,边界能主要转化为应变能,法向裂纹生成较多;越过峰值强度后,摩擦能快速增长,并伴随大量切向裂纹产生。与室内试验结果相比,PFC2D较好地模拟了节理岩体剪切力学特性,弥补了室内试验中无法进行细观特性研究的缺陷,对于节理岩体后期研究提供了一些参考。     

岩桥直剪细观破坏特征与剪胀效应研究

节理岩体的剪切贯通机制影响着边坡的稳定性。为揭示锁固段型非贯通节理岩体在不同连通率和法向应力下的破坏特征,在室内直剪试验中结合高速摄影与AE特征参数分析其剪切全过程及剪胀效应。结果表明:节理岩体直剪试验中,法向应力的增大及节理连通率的下降会致使峰值剪切应力及峰值剪切位移增大;节理连通率与法向应力对其破坏特征具显著影响,表现为节理连通率较高且法向应力较小时呈直接剪断的特性,节理连通率降低后呈拉剪复合破坏,出现剪胀现象,而法向应力的增大使得剪胀效应呈波动现象;AE特征与岩桥贯通过程一致,事件数峰值随节理连通率的降低及法向应力的增大而增大且位于峰后。试验得到的岩桥细观破坏特征与剪胀效应对研究锁固段型岩质边坡的贯通破坏机制具指导意义。     

锚固的贯通节理岩体剪切破坏特性分析

为了研究节理对锚固岩体力学特征和失稳损伤演化的影响,采用对锚固贯通节理岩体进行室内剪切试验和PFC2D数值模拟的方法,研究不同节理倾角下锚固贯通节理岩体剪切性能的作用机制和破坏模式,研究结果表明:（1）随着节理倾角变化,贯通节理岩体呈现出不同的破坏形式,锚固贯通节理岩体的抗剪强度与剪切位移曲线并不是呈线性增长,而是呈"双驼峰"趋势。（2）锚固体系在剪切试验的过程中,节理面颗粒的接触方位角会发生一定程度的改变,主要集中在锚杆和节理倾角附近。（3）锚固体系在剪切试验的过程中,会因为颗粒间黏结键的断裂生成裂纹,裂纹数生成的越少,其抗剪强度越高,裂纹分为张拉裂纹和剪切裂纹,并且张拉裂纹的数量要远远大于剪切裂纹的数量。研究结论可用于实际工程破坏模式的预测和岩体工程稳定性评价。     

端部岩桥直剪破坏试验及断裂条件

以重庆鸡尾山岩质滑坡为代表的前缘“关键块体”型滑坡具有较强的隐蔽性,研究“关键块体”前缘锁固段岩桥的破坏性质对滑坡预警具有重要意义。以鸡尾山滑坡地质条件为基础,在岩样端部预制不同长度边缘裂缝,填入软弱材料,形成软弱夹层节理,在不同法向压力下进行直剪试验,分析了前缘端部岩桥的裂纹扩展规律、块体剥落特征信息和岩桥断裂条件,提出了临滑阶段剪应力变化率k值。试验结果表明：软弱夹层节理长度对岩桥破坏模式和块体剥落剧烈程度有重要影响,且端部岩桥越长,破坏前临滑阶段剪应力增速k值越小。端部岩桥破坏模式为剪切破坏、拉剪破坏和张拉破坏,且不同破坏模式决定了相同节理岩桥块体剥落的剧烈程度。岩桥块体剥落点与破坏点剪应力比值百分数平均值为79.5%～92.2%,且端部岩桥临滑阶段时间快慢依次为短节理慢、中间节理居中和长节理快。端部岩桥3种破坏模式满足一定断裂条件,且呈现出3个阶段和裂纹稳定扩展。通过本直剪试验研究揭示的端部岩桥破坏特征信息和断裂条件,可对前缘“关键块体”锁固段型岩质边坡失稳破坏评价提供理论依据。     

Failure Characteristics of Complicated Random Jointed Rock Mass Under Compressive-Shear Loading

Most natural rock masses contain a large number of random joints and fissures, and most of the rock masses at the rock engineering are commonly in both compression and shear stress environment. However, the research on the failure characteristics of complex random jointed rock mass under compressive-shear loading is still limited. To address this gap, this paper uses the particle flow code 2D to establish a discrete fractured rock mass model and carry out a series of numerical tests with different compressive-shear angles (α) and different joint geometric parameters. The effects of compressive-shear angle and joint geometric parameters on the strength and failure characteristics of fractured rock masses are studied. The results indicate that with the increase of α, the peak strength of the specimen decreases gradually, and the failure mode changes from the composite shear failure mode (Mode-I) to a plane shear failure mode (Mode-II) and then to intact shear failure mode (Mode-III). Specifically, the three failure modes occur in the specimens with α?=?15°, 30° or 45°, 60°, respectively. The existence of joints affects stress distribution on rock mass during the loading process. Furthermore, the stress at the joint tip is relatively concentrated, while on both sides of the joint is smaller. Three kinds of crack coalescence patterns are observed: tensile, shear, and tensile-shear mixed coalescence. The inclination angle of the rock bridge between adjacent joints affects the specific type of coalescence.

     

大理岩加、卸荷破坏过程的三维颗粒流模拟

从大理岩常规三轴加、卸荷室内试验出发,结合PFC3D颗粒流程序进行分析,在明确室内试验与数值模拟试验卸荷速率对应关系的基础上,对不同卸荷速率下试样破坏过程的力学特性及破坏机制进行探讨。结果表明：加、卸荷路径下整个加载过程中张拉裂纹数量均明显高于剪切裂纹;常规三轴试验损伤应力之后,裂纹围绕某一速率进行扩展,卸荷试验损伤应力之后,裂纹的发展是突发性的;不同应力路径下试样损伤破坏的差异性主要形成于损伤应力至峰值应力这一阶段,直至卸荷速率超过6 MPa/s,试样的损伤程度与破坏形式逐渐趋于一致;随着围压的增大,不同卸荷速率下岩石破坏均呈现出由张拉破坏逐渐向剪切破坏过渡。     

含顺层断续节理岩质边坡地震作用下的破坏模式与动力响应研究

基于二维颗粒流软件PFC2D的人工合成岩体技术（SRM）,研究了岩桥倾角和节理间距不同组合形式的含顺层断续节理岩质边坡在地震作用下的破坏模式与动力响应规律。研究结果显示：在地震动力作用下,含单潜在滑动面的顺层断续节理岩质边坡呈现出滑移-倾倒的混合破坏特征,含多潜在滑动面的顺层断续节理岩质边坡则主要发生倾倒破坏;由顺层断续节理以及岩桥交替连接所组成的潜在滑动面是控制边坡动力稳定性的关键因素。在地震动力作用下,最靠近坡脚的岩桥段首先萌生翼裂纹,使得拉应力得到释放,随后各节理相继萌生裂纹并扩展、贯通,最终导致坡体发生阶梯状整体失稳。裂纹扩展受顺层断续节理控制,萌生裂纹中以张拉裂纹为主,且裂纹数量与输入地震波的加速度曲线具有同步性。另一方面,节理面的存在对边坡动力响应产生明显影响,沿坡表以及沿水平方向上的峰值速度、峰值位移随着岩桥倾角的增大、节理间距的减小而增大,同时节理间距和岩桥倾角对于峰值加速度（PGA）放大系数的影响范围主要集中在坡表、坡肩;沿竖直方向上,峰值位移随着岩桥倾角、节理间距的增大而减小,PGA放大系数曲线随高程变化总体呈现U型分布特征。     

弱化节理剪切力学特征的颗粒流模拟研究

在黏结颗粒模型中引入强度弱化因子生成弱化介质材料,进行弱化模型试件的单轴抗压强度试验。结果表明,弱化作用在降低试件单轴抗压强度的同时,还将导致试件弹性模量逐步下降。这一结果符合相关室内试验的研究成果。为进一步对岩石强度弱化模拟方法进行效果检验,利用颗粒流程序内置的FISH语言建立弱化岩石节理直剪试验模型,进行不同法向应力条件下弱化岩石节理的直剪试验。结果表明：弱化节理模型试件表现出类似于真实节理的一系列宏观剪切力学特征;不同壁面弱化程度条件下,节理模型试件的抗剪强度及剪切峰值膨胀角的试验结果与法向应力的依存关系均符合经典的JRC-JCS模型。由此表明,所采用的岩石强度弱化模拟方法可以较好地再现岩石介质的强度弱化效应。通过模型试件内微裂纹发展演化特征的研究表明,壁面弱化作用可导致试件内裂纹发育数目的快速增长、微裂纹分布范围的迅速扩大,以及剪切裂纹发育比例的迅速提高,由此从细观角度揭示了弱化节理面更易于产生宏观剪切破坏的原因。研究成果可以为弱化岩石节理的抗剪强度及大型岩质边坡的稳定性研究提供参考。     

加锚贯通节理岩体宏细观剪切破坏特性

为了研究加锚贯通节理岩体的剪切破坏特性,根据室内实验及数值模拟软件PFC2D,分析了不同法向应力及不同锚固角度作用下,加锚贯通节理岩体的抗剪性能及内部细观裂纹的演变过程。研究表明:（1）随着锚固倾角的增加,加锚节理岩体抗剪强度呈现先增大后减小的趋势,且在锚固角度为60°时,其抗剪强度最大,锚固效果最好。随着法向应力越大,加锚节理岩体抗剪强度越高,其抗剪性能越好。（2）随着剪切位移的不断增加,由初期阶段在锚杆和节理附近产生的少量裂纹通过不断的向外扩展,最终在锚杆和节理交界处聚集了大量的裂纹,其中裂纹以张拉裂纹为主。（3）锚固角度及法向应力对裂纹扩展影响显著,随着法向应力的增加,裂纹数也呈现了增加的趋势,且岩体破坏越严重。随着锚固角度的变化,加锚节理岩体破坏时形成的裂纹数量有先减小后增大的趋势,且在锚固角度为60°时,产生的裂纹最少。     

Coalescence of offset rock joints under biaxial loading

Crack coalescence in rock masses was studied by performing a series of biaxial compresion tests on specimens made of rock-like material. Specimens of size 63.5 × 27.9 × 20.3 cm, made of 72% silica sand, 16% cement (Type I) and 12% water by weight were tested. The joint inclination angle was maintained at 45°, while the offset angle i.e. angle between the plane of the joint and the line that connects the two inner tips of the joints, was changed from 0° to 90° with an increment of 15°. Three levels of lateral stress were used; 0.35 MPa, 0.7 MPa and 1.5 MPa on each sample. HP data acquisition system was used to record the data for each sample. In each sample, four LVDTs were fixed to measure the axial and lateral displacement along the sample. The failure mechanisms were monitored by eye inspection and a magnifier to detect crack initiation and propagation. For each test, the failure surfaces were investigated to determine the characteristics of each surface. Wing cracks initiated at the tip of the joint for the low confining stress applied, while at higher confining stresses wing cracks also initiated at the middle of the joint. Secondary cracks initiated at the tip of the joint due to shear stress. Three modes of failure took place due to coalescence of the secondary and wing cracks. The bridge inclination was the main variable that controlled the mode of failure. For bridge inclination of 0°, the coalescence occured due to shear failure and for bridge inclination of 90° the coalescence occurred due to tensile failure while for the other bridge inclinations coalescence occured due to mixed tensile and shear failure.     

共面闭合断续节理岩体强度特性直剪试验研究

通过直剪试验条件下的模型试验,研究了不同节理连通率、节理排列方式、正应力条件下同时包含闭合节理和岩桥的剪切面的变形和强度特性及其相应的变化规律,初步探讨了节理、岩桥变形和破坏机理。     

A three-dimensional numerical investigation of the fracture of rock specimens containing a pre-existing surface flaw

Three-dimensional surface crack initiation and propagation in two kinds of heterogeneous rocks were numerically investigated via parallel finite element analysis using a supercomputer. Numerically simulated rock specimens containing a pre-existing flaw were subjected to uniaxial compression until failure. The initiation and propagation of wing cracks, anti-wing cracks, and shell-like cracks were reproduced by numerical simulations. The numerically simulated results demonstrate that the further propagation of wing cracks and shell-like cracks stop due to their wrapping (curving) behavior in three-dimensional spaces, even if the applied loads continue to increase. Furthermore, rock heterogeneity could significantly influence crack propagation patterns and the peak uniaxial compressive strengths of rock specimens. Moreover, anti-wing cracks only appeared in relatively heterogeneous rocks, and the peak uniaxial compressive strengths of the specimens were observed to depend on the inclination of the pre-existing flaw. Finally, the mechanism of surface crack propagation is discussed in the context of numerically simulated anti-plane loading tests, wherein it was identified that Mode III loading (anti-plane loading) does not lead to Mode III fracture in rocks due to their high ratio of uniaxial compressive strength to tensile strength. This finding could explain the lateral growth of an existing flaw in its own plane, which is a phenomenon that has not been observed in laboratory experiments.     

锚固节理直剪力学行为的颗粒流数值分析

为探究锚固节理在直剪加载作用下的细观力学响应,利用颗粒流数值计算方法建立不同锚固角度下的锚固节理数值模型,并进行不同法向荷载下的直剪试验。之后,通过分析和对比剪切-位移曲线和峰值剪切强度来对锚固节理宏观力学性质进行研究。与此同时,基于微裂纹分布规律,从细观角度揭示了剪切荷载下不同锚固角度的岩石节理面的破坏特征;研究结果显示。（1）不同于非锚固节理,锚固节理的剪切-位移曲线在剪切后期呈现出一定的增长趋势,且粗糙度不同曲线变化特征存在一定的差异。（2）不同锚固角度下,锚固节理的破坏模式存在着较为明显的差异。当锚固角为90°时,锚固节理模型的破坏主要集中于锚杆与上下节理面接触位置,且破坏主要为挤压式破坏。随着锚固角度的减小,接触位置的破碎区域不断减小,节理破坏主要表现为沿着锚杆的轴向拉伸变形破坏及内部的拉伸破坏。（3）锚固角度的变化对锚固节理的抗强度的影响程度与节理面的粗糙度存在一定关联。具体而言,较为平直节理抗剪强度随着锚固角度的增大,增长趋势明显,而粗糙节理面随着锚固角度的增大峰值抗剪强度的变化趋势相对较为平缓。     

逆层岩质边坡地震动力破坏过程FLAC/PFC耦合数值模拟分析

建立含有非贯通层面和正交次级节理的逆层岩质边坡FLAC/PFC2D耦合计算模型,进行地震动力破坏过程模拟试验,研究了逆层岩质边坡地震动力破坏机理。试验结果证明,在地震动力破坏过程中,边坡内部层面主要产生剪切破坏,少量张拉破坏集中于逆层边坡顶部位置并且总是发生在坡体已经产生动力失稳之后,因此层面的抗拉强度并不影响逆层边坡的地震动力稳定性。坡顶正交次级节理只能产生张拉破坏,形成宏观的岩层倾倒趋势,而坡底的正交次级节理既会产生张拉破坏,也会产生剪切破坏,破坏面滑动趋势明显。动力响应坡顶放大效应和破坏面发育位置深度导致坡顶岩体的张拉倾倒早于坡底岩体的剪切滑动,与逆层边坡静力倾倒破坏顺序相反。     

单轴压缩条件下含三叉裂隙类岩石试样力学特性的细观研究

三叉裂隙是自然界普遍存在的一种岩体缺陷形式,其对岩体的力学特性有重要影响。对含预制三叉裂隙的水泥砂浆试样进行室内单轴压缩试验,配合使用摄像机拍摄裂纹的起裂、扩展、贯通过程,通过数字图像技术处理获取试样的应变场云图,并结合PFC2D程序研究不同?、? 条件下试样的强度特征、裂纹模式和裂纹演化扩展规律。研究表明：三叉裂隙对试样单轴抗压强度有明显的削弱作用。当? 恒定为120°时,试样在? = 30°时达到最大抗压强度;当? 恒定为90°时,随?增大,试样抗压强度呈先减小后增大的趋势,且当? = 45°时达到最大抗压强度。试样产生的裂纹可分为3类,分别是张拉型裂纹(Ⅰ型裂纹)、剪切型裂纹(Ⅱ型裂纹)、混合型裂纹(Ⅲ型裂纹)。这3类裂纹通常从裂隙尖端开始产生,并且Ⅰ型裂纹沿加载方向扩展,通常未扩展至试样边界;Ⅱ型和Ⅲ型裂纹通常与加载方向呈一定角度扩展至试样边界。通过对裂纹的几何形态和组成宏观裂纹的微裂纹成分的分析,得知导致含三叉裂隙试样在单轴压缩条件下失效的是张拉破坏。数字图像技术得到的应变云图表明,当载荷达到一定阶段,裂隙尖端出现应力集中,微破裂开始发育并聚集成微破裂区,微破裂区扩大产生宏观裂纹。通过对主应变和剪应变云图分析,发现导致试样失效的是张拉破坏,剪应变在裂纹扩展过程中的影响较小。     

基于小波分析的岩石节理剪切特性研究

岩体工程中,节理面的轮廓特征是决定节理岩体剪切特性的重要因素,既往研究发现节理的表面轮廓可分解为一阶大起伏和二阶小凸起,且两者在剪切特性中发挥不同的作用。为了定量分析两阶表面特征对节理剪切强度的影响,本文通过小波分析法分解节理表面,并利用二维颗粒流数值模拟结合直剪试验验证,研究了具有不同起伏角(4°、8°、12°、16°、20°)波形节理面的细观破坏模式以及波面参数对剪切特性的影响规律。结果表明,波长对剪切强度影响较小,而起伏角是决定节理剪切强度的关键因素,随着起伏角增大剪切强度和摩擦角线性增大; 直剪切过程中裂纹数量随法向应力的增大而增加,以拉伸裂纹为主; 一阶大起伏与二阶小凸起的波形起伏角和摩擦角正相关。以上研究成果为预测节理岩体强度提供了理论支撑,对保障边坡、隧道等岩体工程的安全稳定性具有参考价值。     

Slope failure analysis considering anisotropic characteristics of foliated rock masses

Weak planes affect the strength and deformational behaviors of rock slopes, and the anisotropic characteristics of rock mass should be considered in slope stability analysis. Effects of joint plane orientations on failure mechanism and strength response of inherently anisotropic rock samples were firstly investigated. The specimens with various orientations of joints were evaluated under uniaxial compression, Brazilian tensile, and direct shear tests. By treating the foliated rock as transversely isotropic materials, the relevant elastic constants and strength parameters were obtained from experimental results. The slope damage zone was then investigated using Comsol Multiphysics code based on Hoffman criterion. It is indicated that the failure mechanism and strength response depend highly on the inclination of specimens with respect to the loading direction. For disks with the same inclination angle, the value of tensile strength has an increasing trend with the total fracture length. Numerical results show that partial slope mass failed in single slope and no large-scale landslide occurred. The failure pattern in numerical results agrees well with the field observations. The cooperation between the experimental results and the numerical results allows an in-depth analysis of the experimental results and thus better understanding the dominant effect of joints on the deformation and failure of rock mass.     

Experimental Study of Crack Growth in Rock-Like Materials Containing Multiple Parallel Pre-existing Flaws Under Biaxial Compression

Cracks and joints are common in rock masses and play a crucial role in rock mass stability. This study prepared specimens with multiple parallel pre-existing flaws by embedding iron sheets in rock-like materials and used the samples to investigate the crack growth characteristics of these materials. Biaxial compression experiments were performed on sixty specimens, and the influences of the number of pre-existing flaws, their angles and the lateral stress on crack growth were investigated based on video recordings of the crack growth. The results demonstrate that structural failure will occur due to crack growth when the sample contains a small number of pre-existing flaws and that as the number of cracks increases, the specimens will fail due to local failures. In addition, the types of rock bridge failures are summarized, including wing cracks, secondary shear cracks between horizontally-separated pre-existing flaws and secondary shear cracks between vertically-separated pre-existing flaws. Wing cracks play a significant role in the failure of the specimens. The results increase the understanding of crack growth in brittle materials that contain multiple parallel pre-existing flaws under biaxial compression.     

土石混合料剪切特性及块石破碎特征

通过室内大型直剪试验和基于PFC2D的颗粒离散元数值模型,探讨考虑块石破碎的土石混合料的剪切特性及块石破碎特征。以土石混合料室内大型直剪试验和筛分试验为基础,提出了一种能真实描述块石形态特征并准确反映块石破碎效应的土石混合料颗粒离散元数值建模方法,模拟并分析了6种含石量土石混合料在4种不同法向应力作用下的剪切特性及块石破碎特征。结果表明：土石混合料抗剪强度随含石量的增大而增大,且基本符合摩尔-库仑（M-C）强度准则,随着含石量增大,内摩擦角呈现“慢-快-慢”增长趋势,黏聚力则呈现先增后减再增大的变化趋势。剪切后土石混合料块石破碎形式可归纳为表面研磨、局部破碎、完全破裂、完全破碎4种方式。提出了一种新的颗粒破碎指标,该指标能够准确描述粒径大于5 mm的块石的破碎程度,其随含石量和法向应力的增大而增大。通过对土石混合料颗粒离散元数值模型剪切面的分析发现,剪切面出现“剪斜”现象,其起伏程度随含石量增大愈加明显,且随着含石量增大剪切面附近剪裂隙数量增多,土石混合料在剪切过程中的破坏为拉-剪混合破坏。