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1.
张平  李宁  李夕兵 《岩土力学》2006,27(Z2):774-778
共面非贯通裂隙的贯通机制对于确定外载下岩质边坡的滑动面位置及滑动面综合抗剪强度至关重要。采用预制共面非贯通裂隙石膏模型试样单轴静动载对比试验,对不同裂隙倾角共面排列裂隙的扩展、贯通过程进行了观测,研究显示:共面非贯通裂隙不同倾角下的贯通模式存在较大差异,裂隙倾角为0o~35o时以裂隙面发生闭合变形为主;45o~65o时裂隙间较易出现剪切型破坏模式;75o~90o预制裂隙面较难产生滑动,裂隙试样主要产生劈裂形式的破坏。动载下预制裂隙试样裂尖翼裂纹及次生共面裂纹起裂后易朝原起裂方向快速发展;易在两预制裂隙内端部产生直接贯通,这与静载下岩桥处的贯通常通过分支裂纹拐折扩展、相连不同。含共面非贯通裂隙试样在裂隙倾角为35o左右时强度呈现最小值,这与贯通性裂隙试样裂隙倾角为60o左右呈现最小值相差较大,这是因为裂隙面摩擦强度没来得及发挥作用所致。因此,含非贯通节理裂隙岩体的综合抗剪强度公式应引入强度发挥系数,以充分考虑岩桥胶结强度与裂隙面摩擦强度不能同步发挥作用的破坏本质。  相似文献   

2.
The present numerical study, which is an extension of our previous numerical analysis on cracking processes of a single pre-existing flaw, focuses on the coalescence of two pre-existing parallel open flaws in rock subjected to a uniaxial compressive loading. To facilitate a systematic investigation, the arrangements of the flaw pair are classified into 11 categories. Simulations engaging AUTODYN are conducted on each category. The numerical results are compared with some published physical experimental test results. Eleven typical coalescence patterns are obtained, which are in good agreement with the experimental results, which include two coalescence patterns obtained in flaw pair arrangements (II) and (VIII″) not being reported in previous studies. The information gathered in the simulations helps identify the type (tensile/shear) of each crack segment involved in the coalescence. Most of the coalescence cracks initiate at or around the flaw tips, except those in flaw pair arrangements (II) and (IX′) with a very short ligament length, in which the coalescence cracks initiate on the flaw surfaces away from the flaw tip regions. Based on the numerical simulation results, the properties of the 11 coalescence patterns are obtained. Except those in flaw pair arrangements (II) and (IX′), the other coalescence patterns can be interpreted with respect to the basic crack types—tensile wing crack, horsetail crack and anti-wing crack. In addition, based on the type of crack segments involved in coalescence, namely tensile and shear, the coalescence can be classified into T mode (tensile mode), S mode (shear mode) and TS mode (mixed tensile–shear mode).  相似文献   

3.
Crack evolution is initiated by the occurrence of tensile wing cracks and is then further promoted due to the crack coalescence caused by the extension of a central tensile crack segment between two relatively adjacent flaws. To understand such progressive failures in rock, a parallelized peridynamics coupled with a finite element method is utilized. Through this method, the initiation position of tensile wing cracks is observed with respect to varying inclination angles of a flaw, and then its corresponding shifting mechanism is investigated. In addition, the phenomenon of the position shifting being sensitive to various flaw shapes is discussed. Moreover, it is observed that the inclination angle of a central flaw affects the initiation position of other flaws; therefore, the initiation positions of tensile wing crack emanating from other neighboring flaws are analyzed with their angles. Following tensile wing cracks, a central tensile crack segment occurs in the bridging region between a central flaw and other neighboring flaws; the developmental patterns caused by the crack segment are discussed as well. Finally, the role a central tensile crack segment plays in the formation of crack coalescence and specimen failure is investigated in detail. The numerical results in this paper demonstrate good fidelity with established physical test results and complement them, thereby expanding the understanding of fracturing morphology in rock specimens with various flaws.  相似文献   

4.
Experiments on man-made flawed rock-like materials are applied extensively to study the mechanical behaviour of rock masses as well as crack initiation modes and crack coalescence types. A large number of experiments on specimens containing two or three pre-existing flaws were previously conducted. In the present work, experiments on rock-like materials (formed from a mixture of sand, plaster, limestone and water at mass ratio of 126:9:9:16) containing multiple flaws subjected to uniaxial compression were conducted to further research the effects of the layout of pre-existing flaws on mechanical properties, crack initiation modes and crack coalescence types. Compared with previous experiments in which only three types of cracks were found, the present experiments on specimens containing multiple flaws under uniaxial compression revealed five types of cracks, including wing cracks, quasi-coplanar secondary cracks, oblique secondary cracks, out-of-plane tensile cracks and out-of-plane shear cracks. Ten types of crack coalescence occurred through linkage among wing cracks, quasi-coplanar secondary cracks, oblique secondary cracks, out-of-plane shear cracks and out-of-plane tensile cracks. Moreover, the effects of the non-overlapping length and flaw angle on the complete stress–strain curves, the stress of crack initiation, the peak strength, the peak strain and the elastic modulus were also investigated in detail.  相似文献   

5.
Crack initiation and coalescence behavior of rock or rock-like specimens containing artificial flaws under uniaxial compression have been subjects of intensive investigation in the past. Most of these investigations however focused on crack initiation and coalescence between two or more parallel flaws. Although there have been few experimental studies on non-parallel flaws, these studies did not address the influence of geometrical factors such as ligament length and ligament angle on the crack initiation and coalescence behavior of non-parallel flaws. To investigate whether the individual geometrical factors have similar effects on the crack initiation and coalescence behavior of both parallel and non-parallel flaws, we conducted uniaxial compression tests to investigate crack cracking and coalescence processes in rock like material containing two non-parallel flaws. The paper presents the influence of individual geometrical factors on the crack initiation process and coalescence pattern of non-parallel flaws. Initiation of primary first cracks from all the tips of the two flaws did not occur simultaneously in all the flaw configurations. The flaw configuration of the non-parallel flaws influences the crack initiation, crack trajectories and coalescence behavior. The crack coalescence pattern changes with an increasing ligament angle from indirect to shear crack or mixed tensile-shear crack to tensile crack coalescence. The chance of direct coalescence is reduced with an increase in ligament length. In conclusion, the crack initiation and coalescence behavior of prismatic rock-like specimens with non-parallel flaws, as influenced by the geometrical factors, are analogous to the cracking and coalescence pattern observed in specimens with parallel flaws.  相似文献   

6.
Cracking and coalescence behavior in a rectangular rock-like specimen containing two parallel (stepped and coplanar) pre-existing open flaws under uniaxial compression load has been numerically studied by a parallel bonded-particle model, which is a type of bonded-particle model. Crack initiation and propagation from two flaws replicate most of the phenomena observed in prior physical experiments, such as the type (tensile/shear) and the initiation stress of the first crack, as well as the coalescence pattern. Eight crack coalescence categories representing different crack types and trajectories are identified. New coalescence categories namely “New 1” and “New 2”, which are first observed in the present simulation, are incorporated into categories 3 and 4, and category 5 previously proposed by the MIT Rock Mechanics Research Group, respectively. The flaw inclination angle (β), the ligament length (L) (spacing between two flaws) and the bridging angle (α) (inclination of a line linking up the inner flaw tips, between two flaws) have different effects on the coalescence patterns, coalescence stresses (before, at or post the peak stress) as well as peak strength of specimens. Some insights on the coalescence processes, such as the initiation of cracks in the intact part of specimens at a distance away from the flaw tips, and coalescence due to the development and linkage of a number of steeply inclined to vertical macro-tensile cracks are revealed by the present numerical study.  相似文献   

7.
Liu  Guang  Sun  WaiChing  Lowinger  Steven M.  Zhang  ZhenHua  Huang  Ming  Peng  Jun 《Acta Geotechnica》2019,14(3):843-868

We present a numerical analysis on injection-induced crack propagation and coalescence in brittle rock. The DEM network coupling model in PFC is modified to capture the evolution of fracture geometry. An improved fluid flow model for fractured porous media is proposed and coupled with a bond-based DEM model to simulate the interactions among cracks induced by injecting fluid in two nearby flaws at identical injection rates. The material parameters are calibrated based on the macro-properties of Lac du Bonnet granite and KGD solution. A grain-based model, which generates larger grains from assembles of particles bonded together, is calibrated to identify the microscopic mechanical and hydraulic parameters of Lac du Bonnet granite such that the DEM model yields a ratio between the compressive and tensile strength consistent with experiments. The simulations of fluid injection reveal that the initial flaw direction plays a crucial role in crack interaction and coalescence pattern. When two initial flaws are aligned, cracks generally propagate faster. Some geometrical measures from graph theory are used to analyze the geometry and connectivity of the crack network. The results reveal that initial flaws in the same direction may lead to a well-connected crack network with higher global efficiency.

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8.
Preexisting flaws and rock heterogeneity have important ramifications on the process of rock fracturing and on rock stability in many applications. Therefore, there is great interest in numerical modelling of rock fracture and the underlying mechanisms. We simulated damage evolution and fracture propagation in sandstone specimens containing a preexisting 3-D surface flaw under uniaxial compression. We applied the linear elastic damage model based on the unified strength theory following the rock failure process analysis code. However, in contrast to the rock failure process analysis code, we used the finite element method with tetrahedron elements on unstructured meshes. It provided higher geometrical flexibility and allowed for a more accurate representation of the disk-shaped flaw with various flaw depths, angles, and lengths through locally adapted meshes. The rock heterogeneity was modelled by sampling the initial local Young's modulus from a Weibull distribution over a cubic grid. The values were then interpolated to the computational finite element method mesh. This method introduced an additional length scale for the rock heterogeneity represented by the cell size in the sampling grid. The generation of three typical surface cracking patterns, called wing cracks, anti-wing cracks, and far-field cracks, were identified in the simulation results. These depend on the geometry of the preexisting surface flaw. The simulated fracture propagation, coalescence types, and failure modes for the specimens with preexisting surface flaw show good agreement with recent experimental studies.  相似文献   

9.
Feng  Peng  Zhao  Jiachen  Dai  Feng  Wei  Mingdong  Liu  Bo 《Acta Geotechnica》2022,17(5):1765-1784

Conjugate flaws widely exist in rock masses and play a significant role in their deformation and strength properties. Understanding the mechanical behaviors of rock masses containing conjugate flaws is conducive to rock engineering stability assessment and the related supporting design. This study experimentally investigates the mechanical properties of conjugate-flawed sandstone specimens under coupled static–dynamic compression, thereby providing insight into how conjugate fractures interact to produce tracing tensional joints. Results indicate that the coupled compressive strength and the dynamic elastic modulus of conjugate-flawed rock specimens show remarkable loading rate dependence. For a fixed strain rate, the specimen with a static pre-stress equal to 60% of its uniaxial compressive strength has the highest coupled strength. Besides, both higher static pre-stress and strain rate can induce smaller mean fragment size and greater fractal dimension of the specimen, corresponding to a more uniform distribution of the broken fragments with smaller sizes. When the static pre-stress is lower than 80%UCS, the flawed specimen under a higher strain rate is characterized by higher absorbed energy. However, when the pre-stress equals 80%UCS, the value of the energy absorbed by the specimen in the dynamic loading process is negative due to the release of the preexisting considerable elastic strain energy input from the static pre-loading. As for the failure modes, cracks always penetrate the preexisting ipsilateral flaw tips to form anti-wing cracks. Under dynamic loading, the conjugate-flawed specimen generally shows tensile failure at a low strain rate, while the shear failure dominates at a high strain rate. In addition, based on progressive failure processes of the conjugate-flawed rock specimens, the evolution of tracing tensional joints in the field is discussed.

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10.
揭示双轴循环荷载条件下类玄武岩内裂纹起裂、扩展及岩桥贯通模式。配制类玄武岩相似材料,预制裂纹倾角=30、裂纹长度2a=20mm、裂纹厚度l=0.3mm的双裂纹,设计不同岩桥长度L、岩桥倾角试样,采用双轴压缩、双轴循环加卸载方式,研究裂纹扩展及岩桥贯通模式。试验结果表明:(1)双轴循环加卸载条件下,裂纹扩展-岩桥贯通过程可分为翼裂纹起裂、翼裂纹扩展和次生裂纹起裂及扩展、岩桥贯通3个阶段;(2)岩桥贯通类型可分为剪性贯通、张剪复合贯通和张性贯通3类。双轴压缩条件下,岩桥贯通模式可进一步划分为9种模式,双轴循环加卸载条件下,岩桥贯通模式可分为8种模式;(3)双轴循环加卸载试验比双轴压缩试验更易发生剪性贯通,且在部分试样岩桥处出现局部压碎隆起现象;(4)岩桥倾角和岩桥长度L对岩桥贯通模式影响显著,随着岩桥倾角的增大,岩桥贯通模式逐渐转变为剪性或张剪性贯通。双轴压缩条件下,岩桥长度增加,贯通模式由张剪复合贯通过渡为剪性贯通,而双轴循环加卸载试验则恰恰相反。  相似文献   

11.
The effect of joint overlap on the full failure behavior of a rock bridge in the shear-box test was numerically investigated by means of the particle flow code in two dimensions (PFC2D). Initially, the PFC2D was calibrated by use of data obtained from experimental laboratory tests to ensure the conformity of the simulated numerical model’s response. Furthermore, validation of the simulated models was cross-checked with the results from direct shear tests performed on non-persistent jointed physical models. By use of numerical direct shear tests, the failure process was visually observed and the failure patterns were seen to be in reasonable accordance with experimental results. Discrete element simulations demonstrated that macro shear fractures in rock bridges are because of microscopic tensile breakage of a large number of bonded discs. The failure pattern is mostly affected by joint overlap whereas the shear strength is closely related to the failure pattern. The results show that non-overlapping joints lost their loading capacity when nearly 50 % of total cracks developed within the rock bridge whereas the overlapping joints lost their loading capacity as soon as cracks initiated from the joint walls. Furthermore, progressive failure or stable crack growth was seen to develop for non-overlapped joints whereas brittle failure or unstable crack growth was seen to develop in overlapped joints.  相似文献   

12.
含双裂隙岩石裂纹演化机理的离散元数值分析   总被引:2,自引:0,他引:2  
蒋明镜  陈贺  张宁  房锐 《岩土力学》2014,35(11):3259-3268
采用离散单元法探讨了预制双裂隙岩石的裂纹演化机理。用近期从试验资料提取的无胶结厚度含抗转动能力的岩石微观力学模型和相应的离散单元法商业软件,模拟了含不同预制倾角的双裂隙岩石试样在单轴压缩作用下裂纹的扩展与贯通规律,揭示了裂纹演化的宏微观机理。同时,将离散元法DEM岩石试样的裂纹的扩展和贯通规律以及强度特性与室内试验结果进行了比较分析。结果表明,预制裂隙之间以及端点处的拉应力集中是导致裂隙岩石破坏的主要原因,且DEM数值试验得到裂纹的演化规律与室内试验结果较为一致。含30°的预制裂隙的岩石试样最容易起裂,含75°的预制裂隙的岩石试样最困难起裂,造成此种现象的原因可能是裂纹在垂直于主应力方向上的长度不同导致试样受拉区域大小不同。  相似文献   

13.
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。  相似文献   

14.
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。  相似文献   

15.
岩石碎裂作用的分形尺度(英文)   总被引:4,自引:0,他引:4  
Nagah.  H 《地学前缘》2000,7(1):169-177
各种各样的统计幂定律关系经常成功地被用来描述碎屑大小分布和断口形状 (不平整度 )的分级规律 ,表明碎裂作用是一种尺度不变的作用过程。一条新的有关岩石碎裂作用破裂能量的尺度律 ,可以由分形几何以及Griffith能量平衡的概念推导出来 ,而且它与先前三条关于大小缩减或Hall Petch关系的理论是相一致的。从材料强度的观点来看 ,断口形状的分形维数是形状因子和岩石Weibull均质系数的函数。在任何一次采集中 ,如果碎屑都是致密压实的 ,那么大小分布和碎屑不平整度的分形维数是相同的。然而有些地壳碎屑在三维体积上已不再是致密压实的 ,破裂的地壳可被当作分形的多孔物质来处理。在此情况下 ,地壳碎屑形状的分形容量与地壳断口大小分布的分形维数相关 ,可以预期 ,在大地构造及地震强度的分形分析中 ,地壳断口大小分布的分形维数可作为断裂制约条件之一。  相似文献   

16.
利用自主研发的煤岩剪切细观试验装置,以砂岩为研究对象,开展了不同饱和度数条件下的岩石剪切细观开裂演化与贯通机制试验研究,分析了砂岩剪切细观开裂演化过程和贯通机制,探讨了饱水系数对细观开裂和裂纹形态特征的影响。研究结果表明:剪切过程中,伴随着应力降,裂纹一般首先出现在剪切面中部,几条裂纹间断分布,距离较近的裂纹相互连通形成大裂纹,在应力继续下降的一瞬间,各裂纹连通形成贯通面;水的弱化作用影响了岩石的强度,使得试件底部出现较大的次级裂纹;饱水系数越大,分叉裂纹越多,使得试件的表面裂纹形态更加复杂,断裂面弯折段的数目越多,下端部次级裂纹越发育,整体损伤范围越大;细观上,局部独立裂纹贯通过程伴随着胶结颗粒岩桥的梁式旋转和弯曲折断,水的弱化作用,使得岩桥内部和外部微裂纹增多;随着饱水系数的增加,岩石剪切过程中出现的独立和次级裂纹的数目均呈增加趋势。  相似文献   

17.
Zhao  Yusong  Gao  Yongtao  Wu  Shunchuan  Chen  Long  Zhang  Chengliang 《Acta Geotechnica》2021,16(10):3087-3113

Open flaws without any filling material are common fracture structures in real rock. To study the failure characteristics of this fracture structure, small-scale rock-like samples with single internal 3D open flaws are prepared, and uniaxial compression tests are conducted. Digital image correlation (for surface strain and failures) and acoustic emission (for internal microfracture behaviors) monitoring technologies are also employed to analyze the flaws. The test results are verified through numerical simulations. Different inclination angles of the internal preset flaws are found to have little influence on the strength of the samples, and the surface and internal secondary failures of the samples exhibit very different development processes and distributions. The particle displacement trend method is applied to explain the initiation mechanism of secondary cracks, but the corresponding analyses are only reasonable if particle information along the y-axis is considered. Therefore, the particle information in the y-axis is incorporated by defining new 2D sections (with y-axis) or partial 3D models. Based on these research methods, the initiation mechanism of secondary cracks is reasonably explained, and the influence of the preset flaw thickness on the particle displacement trend fields and secondary failures in surrounding rocks can be discussed. Finally, the simulation results prove that the Mode II and III failures are usually coupled, and direct Mode III failures (displacement of two parts of rock parallel to each other and in opposite directions) only occur in the front and rear surrounding rocks of the preset flaw.

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18.
Cracking processes have been extensively studied in brittle rock and rock-like materials. Due to the experimental limitations and the complexity of rock texture, details of the cracking processes could not always be observed and assessed comprehensively. To contribute to this field of research, a numerical approach based on the particle element model was used in present study. It would give us insights into what is happening to crack initiation, propagation and coalescence. Parallel bond model, a type of bonded-particle model, was used to numerically simulate the cracking process in rock-like material containing a single flaw under uniaxial vertical compression. The single flaw’s inclinations varied from 0° to 75° measured from the horizontal. As the uniaxial compression load was increased, multiple new microcracks initiated in the rock, which later propagated and eventually coalesced into longer macrocracks. The inclination of the pre-existing flaw was found to have a strong influence on the crack initiation and propagation patterns. The simulations replicated most of the phenomena observed in the physical experiments, such as the type, the initiation location and the initiate angle of the first cracks, as well as the development of hair-line cracks, which later evolved to macrocracks. Analyses of the parallel bond forces and displacement fields revealed some important mechanisms of the cracking processes. The first cracks typically initiated from the tensile stress concentration regions, in which the tensile stress was partially released after their initiation. The tensile stress concentration regions subsequently shifted outwards close to the propagating tips of the first cracks. The initiation and propagation of the first cracks would not significantly influence the compressive stress singularity at the flaw tips, which was the driving force of the initiation of secondary cracks. The initiation of microcracking zone consisting almost exclusively of micro-tensile cracks, and that of microcracking zone consisting of micro-tensile cracks and mixed micro-tensile and shear cracks, were found to be correlated with two distinct types of displacement fields, namely type I (DF_I) and type II (DF_II), respectively.  相似文献   

19.
Cracking and coalescence behavior has been studied experimentally with prismatic laboratory-molded gypsum and Carrara marble specimens containing two parallel pre-existing open flaws. This was done at both the macroscopic and the microscopic scales, and the results are presented in two separate papers. This paper (the first of two) summarizes the macroscopic experimental results and investigates the influence of the different flaw geometries and material, on the cracking processes. In the companion paper (also in this issue), most of the macroscopic deformation and cracking processes shown in this present paper will be related to the underlying microscopic changes. In the present study, a high speed video system was used, which allowed us to precisely observe the cracking mechanisms. Nine crack coalescence categories with different crack types and trajectories were identified. The flaw inclination angle (β), the ligament length (L), that is, intact rock length between the flaws, and the bridging angle (α), that is, the inclination of a line linking up the inner flaw tips, between two flaws, had different effects on the coalescence patterns. One of the pronounced differences observed between marble and gypsum during the compression loading test was the development of macroscopic white patches prior to the initiation of macroscopic cracks in marble, but not in gypsum. Comparing the cracking and coalescence behaviors in the two tested materials, tensile cracking generally occurred more often in marble than in gypsum for the same flaw pair geometries.
H. H. EinsteinEmail:
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20.
排土场散体岩石粒度分布与剪切强度的分形特征   总被引:16,自引:5,他引:11  
谢学斌  潘长良 《岩土力学》2004,25(2):287-291
应用分形理论研究了矿山排土场散体岩石粒度分布的分维规律,建立了分维数与排土场散体物料剪切强度参数的定量关系式。研究表明,排土场岩石块度分布具有良好的分形结构,分维数值大小随着排土场高度的增加而增加,但不超过3。当采样尺度范围一定时,分维数越大,散体中细颗粒含量越多,平均粒径也越小。分维数与散体岩石的剪切强度参数摩擦角?呈负指数关系。分维数值可用于排土场粒度资料的统计分析与剪切力学强度参数的预测。  相似文献   

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