Numerical Studies on Chip Formation in Drag-Pick Cutting of Rocks

A two dimensional non-linear finite element simulation model has been developed using a mathematical model for progressive rock failure for understanding the mode and sequence of rock failure under a drag pick cutter. Rock cutting simulation has also been done using linear elastic modeling using local stability factor contouring. It has been observed from the simulation results that during negative rake angle cutting the chipping occurs by shear failure of the elements. Whereas, in positive rake angle cutting, some elements were observed to fail in shear and some under tension. The predicted peak cutting force using the developed models was found to be up to 25% higher than the experimental values. The effect of input parameters such as rake angle, flank wear, depth of cut and rock properties on the predicted peak cutting force has been studied, verified from earlier experimental studies and compared with some earlier proposed theories on rock cutting. The elastic stress analysis model based on the stability factor contouring method has also been found to be an effective tool to bracket the expected peak cutting force for a given operational and rock parameters but failed to simulate the effect of pick geometry (rake angle) correctly. The non-linear simulation model using progressive rock element failure is superior to elastic linear stress analysis model by simulating the correct trends for all the rock and machining parameters.     

NON-LINEAR FAULT BEHAVIOUR NEAR UNDERGROUND EXCAVATIONS — A BOUNDARY ELEMENT APPROACH

A boundary element model for stress/stability analysis of underground excavations in the vicinity of faults is presented. The boundary element formulation adopts the fictitious stress method for the simulation of excavation boundaries and the displacement discontinuity method for the representation of faults. The numerical model employs the Barton–Bandis non-linear joint model for the modelling of the fault behaviour and linear elastic behaviour for the rock. An incremental-iterative in situ stress relaxation algorithm is implemented for the non-linear analysis of the faults. Both deformation and peak strength models of Barton–Bandis are incorporated for modelling the mechanical behaviour of the fault. The non-linear deformation of fault considers the effects of coupling between shear and normal stresses and displacement, joint closure, joint separation, hardening followed by post-peak or residual behaviour. The peak strength model employs a mobilized non-linear shear strength envelope. The differences between linear and non-linear simulation of the fault models are discussed. A comparison of model predictions with the classical Mohr–Coulomb peak strength model with constant joint stiffness is presented. The numerical model is used for a case study of Canadian hard rock underground mine. The shear and normal displacements along the fault during four mining sequences with backfill simulation are presented and discussed.     

The Mechanical. Behaviors and Analog Analytical Method of Joints and Weak Intercalations in Rock Mass (Continued)

In this paper, the mechanical behaviors of rock joints and internationals etc. are described. According to the filed results of the shear tests, several basic types of shear displacement are discussed and classified。 based on the nonlinear properties of these weak plants ,the analytical models and methods suggested in this paper, the influence of normal stress on the shear deformation may be considered .It also can be applied to the complicated conditions of loading-unloading-reloadings. The non-linear and the problems of the weak plane’s reclosing after opening can be handled simultaneously. The same analytical method is also acceptable to the shear deformation properties of various types only by choosing different parameters. Wish this analytical method, analogic calculations for the in-situ weak-plane shear tests are made and results are well checked by curves .This method has been used in some practical engineering problems .     

岩体中节理面、软弱夹层等的力学性质和模拟分析方法(一)

岩体中的软弱结构面、特别是软弱夹层和软弱的节理面以及基岩和建筑物的结合面或称界面(以下对这些面简称为弱面)对于水工建筑物的抗滑稳定,天然或人工岩石边坡和地下洞库的稳定性常常起控制作用.     

The Mechanical. Behaviors and Analog Analytical Method of Joints and Weak Intercalations in Rock Mass

In this paper, the mechanical behaviors of rock joints and internationals etc. are described. According to the filed results of the shear tests, several basic types of shear displacement are discussed and classified。 based on the nonlinear properties of these weak plants ,the analytical models and methods suggested in this paper, the influence of normal stress on the shear deformation may be considered .It also can be applied to the complicated conditions of loading-unloading-reloadings. The non-linear and the problems of the weak plane’s reclosing after opening can be handled simultaneously. The same analytical method is also acceptable to the shear deformation properties of various types only by choosing different parameters. Wish this analytical method, analogic calculations for the in-situ weak-plane shear tests are made and results are well checked by curves .This method has been used in some practical engineering problems .     

岩体中节理面、软弱夹层等的力学性质和模拟分析方法(续)

六、滑移条件的实验依据和节理单元的塑性变形问题采用关联流动理论来推导节理单元的弹塑性物性矩阵可以明显看出它将使处于继续加载状态的单元的新应力点将落在残余强度线上,也就是说是满足“滑移条件”的,但这与实验结果是否接近呢? 现在我们列举一九七○年在某矿区所作的野外剪切“单点法”试验结果以资说明.     

Rock joint modeling using a visco-plastic multilaminate model at constant normal load condition

Rock joints play an important role in the behavior of rock masses under normal and shear loading conditions. Numerical simulation of the behavior of jointed rock masses is not an easy task due to complexities involved in the problem such as joint roughness, joint shear strength, hardening and softening phenomenon and mesh dependency. In this study for modeling purposes, a visco-plastic multilaminate model considering hardening and softening effects has been employed. For providing the necessary data for numerical simulation, a series of laboratory experiments have been carried out on regular tooth-shape asperities made by gypsum, under constant normal load conditions. Shear stress–shear displacement and normal displacement–shear displacement of artificial joint specimens are simulated using the proposed numerical model at constant normal load condition (CNL). The results indicate the capability of the model for simulating rock joints behavior in both strength and deformation field. Although the numerical model has been developed for simulating the behavior of artificial joints, the concept of the method can also be used for natural rock joints.     

结构面的剪切蠕变特性研究

岩体结构面的蠕变特性研究对解决岩石力学实际问题具有很重要的意义。本文利用水泥砂浆制作的规则齿形结构面试样进行了剪切蠕变室内试验,针对不同角度结构面试件在不同法向应力条件下的剪切蠕变特性进行了研究,并根据蠕变试验结果,提出了结构面剪切蠕变经验公式;对结构面的长期强度特性进行研究,并选取Burgers模型来描述蠕变的剪切变形特性,文章最后讨论了Burgers模型对于描述结构面剪切蠕变特性的参数特征。     

Non-linear shear strength reduction technique in slope stability calculation

To exactly implement the non-linear Hoek–Brown shear strength reduction in slope stability calculations, three aspects of the problem are considered. Firstly, the normal and shear stress relationship of the generalized Hoek–Brown criterion (2002 edition) is derived by introducing the Mohr–Coulomb instantaneous friction angle as a variable. Secondly, the instantaneous Mohr–Coulomb friction angle and cohesive strength are derived for a micro-unit at a given stress state and they can be used to describe the shear strength of the rock mass under different stress states. Finally, the implementation of the non-linear shear strength reduction is described and a slope example is selected to verify our method. This technique can be also applied to other non-linear failure criteria.     

Critical review on shear strength models for soil-infilled joints

An infilled rock joint is likely to be the weakest plane in a rock mass. The presence of infill material within the joint significantly reduces the friction of the discontinuity boundaries (i.e. rock to rock contact of the joint walls). The thicker the infill, the smaller the shear strength of the rock joint. Once the infill reaches a critical thickness, the infill material governs the overall shear strength, and the joint walls (rock) play no significant role. Several models have been proposed to predict the peak shear strength of soil-infilled joints under both constant normal load (CNL) and constant normal stiffness (CNS) boundary conditions, taking into account the ratio of infill thickness (t) to the height of the joint wall asperity (a). CNS models provide a more realistic picture of the soil-infilled joint behaviour in the field. This paper presents a critical review on the existing mathematical models for predicting the shear strength of soil-infilled rock joint and verifies the normalised peak shear stress model with further laboratory investigations carried out on idealised saw-tooth rock joints at the University of Wollongong. Based on the prediction of the experimental data, the normalised peak shear stress model is slightly modified by the authors. A simplified approach for using this model in practice is presented and a new expression for prediction of dilatation at peak shear stress is suggested.     

岩石抗剪强度参数的稳健估计

提出了Ｍ－稳健估计计算岩体抗剪强度参数Ｃ,ｆ值的计算模型和方法。通过对白云鄂博主矿原位试验数据的稳健估计计算结果与最小二乘法的计算结果的对比分析表明：采用稳健估计的方法所估计出的参数更可靠。     

Applicability of existing models to predict the behavior of replicas of natural fractures of welded tuff under different boundary conditions

Assessing the shear behavior of intact rock and rock fractures is an important issue in the design of a potential nuclear waste repository at Yucca Mountain, Nevada. Cyclic direct shear experiments were conducted on replicas of three natural fractures and a laboratory-developed tensile fracture of welded tuff. The tests were carried out under constant normal loads or constant normal stiffnesses with different initial normal load levels. Each test consisted of five cycles of forward and reverse shear motion. In this paper, the results of the constant normal load shear experiments are analyzed using several constitutive models proposed in the rock mechanics literature for joint shear strength, dilatancy, and joint surface damage. It is shown that some of the existing models have limitations. New constitutive models are proposed and are included in a mathematical analysis tool that can be used to predict joint behavior under various boundary conditions. © Rapid Science Ltd. 1998     

Laboratory modelling of shear behaviour of soft joints under constant normal stiffness conditions

Shear behaviour of regular sawtooth rock joints produced from casting plaster are investigated under constant normal stiffness (CNS) conditions. Test results obtained in this investigation are also compared with the constant normal load (CNL) tests. It is observed that the peak shear stress obtained under CNL conditions always underestimates the peak shear stress corresponding to the CNS condition. Plots of shear stress against normal stress show that a nonlinear (curved) strength envelope is acceptable for soft rock joints subjected to a CNS condition, in comparison with the linear or bilinear envelopes often proposed for a CNL condition. Models proposed by Patton (1966) and Barton (1973) have also been considered for the predictions of peak shear stress of soft joints under CNS conditions. Although Patton's model is appropriate for low asperity angles, it overestimates the shear strength in the low to medium normal stress range at higher asperity angles. In contrast, while Barton's model is realistic for the CNL condition, it seems to be inappropriate for modelling the shear behaviour of soft joints under CNS conditions. The effect of infill material on the shear behaviour of the model joints is also investigated, and it is found that a small thickness of bentonite infill reduces the peak stress significantly. The peak shear stress almost approached that of the shear strength of infill when the infill thickness to asperity height ratio (t/a) reached 1.40. This paper also introduces an original, empirical shear strength envelope to account for the change in normal stress and surface degradation during CNS shearing. © Rapid Science Ltd. 1998     

软岩巷道围岩流变大变形有限元计算方法

本文针对软岩工程中围岩流变大变形问题，以有限变形力学理论为依据，采用更新拖带坐标法编制非线性大变形有限元计算程序，对软岩巷道流变大变形问题进行了数值模拟计算。在计算中，选用了适合描述软岩流变大变形的物性方程，并考虑了锚杆和拱两种支护方式。结合表明，本文采用的理论和计算方法合理，计算程序具有精度高、收敛速度快等优点，展示了良好的应用前景。     

岩石物理建模技术在致密砂岩储层预测中的应用——以鄂尔多斯盆地北部H区块为例

岩石物理建模是叠前反演前重要的基础工作。以致密砂岩储层为目标,剖析了岩石物理建模涉及的主要过程。将测井评价与岩石物理建模视为迭代过程,测井评价提供岩石物理建模的输入数据,岩石物理建模控制测井评价参数的质量。在测井参数具有较高质量的情况下,优选岩石物理建模方法,优化关键参数,较为准确地预测了横波速度等弹性参数,为叠前弹性参数反演提供了可靠的基础数据。利用岩石物理解释模板对叠前反演纵横波速度体进行了解释,提高了致密砂岩气层的识别精度,在鄂尔多斯盆地取得了较好的应用效果。     

由结构面和岩桥组成的剪切面强度特性研究

通过直剪模型试验和非线性有限元分析,研究了由结构面和岩桥组成的剪切面在不同法向应力、不同岩桥面积及不同岩桥分布型式等条件下的综合抗剪强度,较客观地评价了岩桥对剪切面抗剪强度指标的影响,初步探讨了岩桥的破坏机理。     

Determination of Shear Strength and Three-dimensional Yield Strength for the Hoek-Brown Criterion

Summary. Most currently used techniques for analysing the stability of near surface structures, such as rock slopes, are based on the application of the effective Coulomb shear strength parameters cohesion c′, and the angle of friction φ′ on some known or anticipated shear surface subjected to an effective normal stress σ′_n. The most widely used of these techniques are the variants of the method of slices and related upper bound techniques. If the Hoek-Brown criterion is to be used to model the strength of near surface fractured rocks, it is necessary to determine equivalent Coulomb shear strength parameters for the specified level of effective normal stress. Calculation of the equivalent Coulomb parameters for the Hoek-Brown criterion for cases when a ≠ 0.5 is not a straightforward matter. A simple procedure for calculating instantaneous values of c′_i and φ′_i has been developed based on spreadsheet calculations and the application of a numerical optimisation routine. This procedure can also be applied to calculating the Hoek-Brown envelope plotted in shear stress/normal stress space. A simple closed form solution for c′_i and tan φ′_i has also been developed for the special case when a = 1. A three-dimensional version of the Hoek-Brown criterion has been developed by combining it with the Drucker-Prager criterion. This new yield criterion has been implemented by numerical solution of the governing equations. A simplification of this three-dimensional yield criterion has been developed by introducing an intermediate principal stress weighting factor. Comparison with published results demonstrates that this simplified criterion has the capacity to model the results of true triaxial tests for a range of different rock types over a wide range of stress levels. The new three-dimensional yield criterion has the advantage that its input parameters can be determined from routine uniaxial compression tests and mineralogical examination.     

节理岩体蠕变特性研究

在已知岩石和节理蠕变规律的前提下,推导了节理岩体蠕变模型的一般表达式。假定岩石体积变形和节理法向压缩变形为弹性变形,忽略节理的剪胀现象,认为只有岩石畸变和节理剪切滑移与时间有关,从而推导了含三组相交节理的岩体蠕变模型及其参数。根据反演出的岩石和节理蠕变模型,计算了含三组相交节理的岩体在单轴应力作用下一些节理参数对岩体单轴蠕变的影响。分析表明,节理间距、剪胀系数以及节理夹角都对岩体的单轴蠕变变形有明显影响。节理间距越大,剪胀系数越大,节理夹角越小,节理岩体的单轴蠕变柔量也就越小,岩体的蠕变变形也越小。     

Improvements for the smooth joint contact model of the particle flow code and its applications

This paper deals with two shortcomings of the smooth-joint contact model (SJCM) used in the particle flow code (PFC). The first shortcoming is the increase of the shear strength of the joint when the shear displacement of the joint exceeds a specific value that is related to the particle size. This problem is named as the interlocking problem, which is caused by the interlocking particles. It occurs due to a shortcoming of the updating procedure in the PFC software related to the contact conditions of the particles that lie around the intended joint plane during high shear displacements. This problem also increases the dilation angle and creates unwanted fractures around the intended joint plane. To solve this problem two new approaches are proposed in this paper: (1) joint plane checking (JPC) approach and (2) joint sides checking (JSC) approach. These approaches and the regular approach are used to model: (a) the direct shear test using the PFC^2D and PFC^3D, (b) the biaxial test on a sample having a persistent joint with a dip angle varying from 0° to 90° at an interval of 15° using the PFC^2D and (c) the polyaxial test on two samples, one of them having a joint with a dip direction of 0° and the dip angle varying from 0° to 90° at an interval of 15°, and the other sample having a joint with a dip angle of 60° and the dip direction varying from 0° to 90° at an interval of 15° using the PFC^3D. All numerical results show that the JPC and JSC approaches can solve the interlocking problem. Also, they proved to be more consistent with the theory compared to the regular approach. However, the JPC approach leads to a slightly softer joint. Therefore, the JSC approach is suggested for jointed rock modeling using the PFC. The other shortcoming of the SJCM dealt within this paper is its inability to capture the non-linear behavior of the joint closure varying with the joint normal stress. This problem is solved in this paper by proposing a new modified smooth-joint contact model (MSJCM). MSJCM uses a linear relation between the joint normal stiffness and the normal contact stress to model the non-linear relation between the joint normal deformation and the joint normal stress observed in the compression joint normal stiffness test. A good agreement obtained between the results from the experimental test and the numerical modeling of the compression joint normal test shows the accuracy of this new model.     

基于Hoek建议的非线性关系求取岩体抗剪强度的算法及工程应用

阐述了Hoek建议的非线性关系原理,以此提出了求取岩体抗剪强度的算法：考虑了岩体抗剪破坏时总体或平均水平,通过计算出不同正应力 下对应的剪应力 ,线性回归确定一定应力范围内线性化后的 、 值,解决了Hoek-Brown准则拟合算法不能求解一定正应力 条件下岩土的抗剪强度的问题。在对中缅油气管道（国内段）澜沧江跨域工程边坡岩体应用以及进一步对比研究,结果表明：采用文中算法给出的第1种确定正应力 的方法所得的 、 值与Hoek-Brown准则拟合算法所得的结果相差不大,究其原因是两种算法考虑的因素不太一样,导致围压 或正应力 大小有所差别;在实际工程正应力 较低的情况下,应采用文中算法给出的第2种确定正应力 的方法来获取的 、 值,这样所得的结果才与实际情况比较接近,克服了Hoek-Brown准则拟合算法对围压 依赖的问题。