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1.
罗先启  郑安兴 《岩土力学》2018,39(2):728-734
岩体中普遍存在着断层﹑节理和裂隙等结构面,这些结构面的存在和发展对岩体的整体强度﹑变形及稳定性有极大的影响。因此,研究岩体中原生结构面的萌生﹑发展以及贯通演化过程对评估岩体工程安全性和可靠性具有非常重要的理论与现实意义。扩展有限元法(XFEM)作为一种求解不连续问题的有效数值方法,模拟裂隙时独立于网格,因此,在模拟岩体裂隙扩展﹑水力劈裂等方面具有独特优势。针对扩展有限元法的基本理论及其在岩体裂隙扩展模拟中的应用展开了研究,建立了扩展有限元法求解岩体裂隙摩擦接触、岩体裂隙破坏等问题的数值模型,并将计算模型应用于岩质边坡稳定性分析和重力坝坝基断裂破坏等工程问题。  相似文献   

2.
When rock failure is unavoidable, the designer of engineering structures must know and account for the residual strength of the rock mass. This is particularly relevant in underground coal mine openings. Pre-existing discontinuities play an important role in the mechanical behavior of rock masses and thus it is important to understand the effects of such pre-existing discontinuities on the residual strength. For this purpose, the present study demonstrates a numerical analysis using a discrete element method simulation. The numerical results indicate that fracture intensity has no significant influence on the residual strength of jointed rock masses, independent of confining conditions. As confining pressures increase, both peak and residual strengths increase, with residual strength increasing at a faster rate. The finding was further demonstrated by analyzing documented laboratory compressive test data from a variety of rocks along with field data from coal pillars. A comprehensive interpretation of the finding was conducted using a cohesion-weakening-friction-strengthening (CWFS) model. The effect of rock bolts on rock mass strength was also evaluated by using a discrete element method model which suggested that rock bolts can significantly increases residual strength but have limited effect on increasing the peak strength of rock masses.  相似文献   

3.
复合单元法动力分析初步研究   总被引:1,自引:0,他引:1  
强晟  张杨 《岩土力学》2010,31(5):1675-1680
复合单元法是一种适用于不连续介质结构分析的数值计算方法,优点是建立网格时不用考虑结构中不连续面,计算时能离散模拟不连续面。在复合单元法静力计算模型的基础上,提出了复合单元的动力分析方法。给出了复合单元动力分析的质量矩阵和阻尼矩阵的具体表达式,通过质量矩阵、刚度矩阵和阻尼矩阵将分布于复合单元内部的惯性力和阻尼力分别转移到复合单元的广义节点上。建立了惯性力、阻尼力、动力荷载及弹性力作用下的复合单元动力系统的控制方程组。以一个基岩内含有两条断层的混凝土重力坝模型地震为例,采用复合单元法动力分析程序进行计算,其结果与有限单元法解吻合得较好,说明所提出方法的正确性和有效性。  相似文献   

4.
地下洞室群围岩稳定的离散元计算   总被引:15,自引:0,他引:15  
王涛  陈晓玲  于利宏 《岩土力学》2005,26(12):1936-1940
针对水电工程中的地下洞室群围岩稳定问题,采用三维离散元软件3DEC, 首先对围岩可能出现的破坏类型进行了分析,然后建立计算模型,对随机结构面进行了模拟,最后计算出了开挖过程中可能出现的破坏块体。使用的方法和得出的结论对类似工程具有一定的参考意义。  相似文献   

5.
The strength and deformability of rock mass primarily depend on the condition of joints and their spacing and partially on the engineering properties of rock matrix. Till today, numerical analysis of discontinuities e.g. joint, fault, shear plane and others is conducted placing an interface element in between two adjacent rock matrix elements. However, the applicability of interface elements is limited in rock mechanics problems having multiple discontinuities due to its inherent numerical difficulties often leading to non-convergent solution. Recent developments in extended finite element method (XFEM) having strong discontinuity imbedded within a regular element provide an opportunity to analyze discrete discontinuities in rock masses without any numerical difficulties. This concept is based on partition of unity principle and can be used for cohesive rock joints. This paper summarizes the mathematical frameworks for the implementation of strong discontinuities in 3 and 6 nodded triangular elements and also provides numerical examples of the application of XFEM in one and two dimensional problems with single and multiple discontinuities.  相似文献   

6.
The mechanical behaviour of a rock mass is strongly affected by discontinuities such as faults and joints. In this paper, a damage mechanics theory is proposed which deals with some sets of discontinuities distributed in a rock mass, for example, joint systems. In this theory, the distributed discontinuities are characterized by a second-order symmetric tensor, called the damage tensor. By introducing the damage concept, the deformation and fracturing behaviour of the rock mass can be reated in a framework of continuum mechanics. A numerical procedure is developed in order to implement the damage mechanics model by using the finite element method. The theory and numerical analysis are applied to several laboratory tests and a practical underground opening problem. Numerical results are compared with measured data.  相似文献   

7.
高速远程滑坡的演化机制与运动过程受控于岩体结构.以重庆市武隆县鸡尾山滑坡为例,采用地面激光扫描技术,获取岩体结构面几何信息,基于离散元数值模拟方法,考虑岩体结构特征,分析高速远程滑坡演化过程及其致灾范围.研究结果表明:(1) 岩体结构特征由岩体内部发育的结构面所决定,针对点云数据开展空间几何计算与聚类分析,可以快速精细地获取岩体结构面产状信息,从而进行岩体结构面识别与组别划分;(2) 将岩体结构特征评价结果导入离散元模型中,能够实现高速远程滑坡致灾范围的快速评价目的,并且取得了与实际滑动距离较为吻合的结果.   相似文献   

8.
目前运动单元法的研究主要集中于土质边坡,未涉及到岩质边坡稳定性分析问题;而岩体中孕育有不同特性的结构面,控制着岩质边坡的力学行为。为求解结构面控制作用下岩质边坡“结构面滑移-岩桥剪断”复合型破坏问题,研究了塑性滑移区节点在岩桥内和结构面上的运动约束条件,推导了含结构面的运动单元计算公式,提出了改进运动单元法。通过经典算例的对比分析,验证了改进运动单元法计算结果的准确性。研究结果表明:岩桥位置、结构面贯通度和结构面倾角是控制岩质边坡力学行为的3个主要影响因素。岩桥越接近坡顶,改进运动单元法所得安全系数越大,而Jennings法无法反映岩桥位置的影响效应。高贯通度的结构面导致岩质边坡发生“结构面滑移-岩桥剪断”复合型破坏模式,安全系数较小;而低贯通度的结构面导致完整岩石发生破坏,安全系数较大。水平或陡倾角结构面导致滑裂面穿切结构面,安全系数较大;而对于其它倾角情况下的结构面,岩质边坡发生“结构面滑移-岩桥剪断”复合型破坏模式,安全系数较小。实例应用结果说明该方法可以有效评价岩质边坡的稳定状态,可在类似工程中应用推广。  相似文献   

9.
In this paper, distinct element method numerical modeling is applied to evaluate bearing capacity of strip footing rested on anisotropic discontinuous rock mass. As yet, a little work has been carried out to investigate the effect of joint set orientation on the bearing capacity of rock mass. Generally, the overall behavior of rock mass under loading is very complicated and such analysis should include deformation determination, sliding along discontinuities and failure of rock material. Failure mechanism of rock mass depended on both geometrical parameters of joint sets and strength parameters of rock mass. In this research, it is assumed that rock mass contains one joint set, and therefore the anisotropy in bearing capacity and rock behavior is only due to the existence and orientation of the joint set. In this study, by assuming constant strength parameters and using Mohr–Coulomb failure criterion for the single joint set and nonlinear Hoek–Brown failure criterion for rock material, variation of the bearing capacity values and the type of failure mechanism of rock mass with different joint set dips is investigated. The obtained results indicate that the ultimate bearing capacity of rock mass containing one joint set varies between 27 and 86 % of intact rock.  相似文献   

10.
何则干  陈胜宏 《岩土力学》2007,28(8):1544-1550
加锚节理岩体有着复杂的细部结构和力学行为,常规的数值模型很难满足模拟这种力学行为的要求。进一步发展了笔者建立的加锚岩体的复合单元法,提出加锚节理岩体的复合单元法研究。在不考虑锚杆、节理等细部结构的情况下划分网格,分别定义了加锚岩体复合单元、不连续岩体复合单元和加锚节理岩体复合单元,并建立了其数值模型。同时,在复合单元中还定义了不同材料介质的子单元用来模拟加锚节理岩体内复杂的细部构造。对加锚节理复合单元法进行了理论推导和算例研究,通过与常规有限单元法计算结果的比较,表明了加锚节理岩体复合单元法的合理性,同时也突出体现了其前处理简便的优势。  相似文献   

11.
模拟三维裂纹问题的扩展有限元法   总被引:4,自引:1,他引:3  
余天堂 《岩土力学》2010,31(10):3280-3285
扩展有限元法是一种在常规有限元框架内求解强和弱不连续问题的新型数值方法,其计算网格与不连续面相互独立,因此模拟移动不连续面时无需对网格进行重新剖分。给出了模拟三维裂纹问题的扩展有限元法。在常规有限元位移模式中,基于单位分解的思想加进一个阶跃函数和二维渐近裂尖位移场,反映裂纹处位移的不连续性。用两个水平集函数表示裂纹。采用线性互补法求解裂纹面非线性接触条件,不需要迭代,提高了计算效率。采用两点位移外推法计算裂纹前缘应力强度因子。给出了3个三维弹性静力问题算例,其结果显示了所提方法能获得高精度的应力强度因子,并能有效地处理裂纹面间的接触问题,同时表明扩展有限元结合线性互补法求解不连续问题具有较好的前景。  相似文献   

12.
张社荣  严磊  王超  孙博  撒文奇 《岩土力学》2012,33(2):597-603
依托溶蚀地基上建坝的典型工程问题,在研究坝基溶蚀空间展布特征的基础上,建立溶蚀带力学参数随机场模型,采用随机有限元方法研究坝体工作性态的统计特性,评价了溶蚀坝基建坝适应性。采用溶蚀带力学参数随机场模型,等效模拟了空间内溶蚀体的无序分布系统,排除地质统计中线溶蚀率的人为假定,避免了以往确定性分析模型中溶蚀体缺失现象。研究方法和成果亦可以为其他相似复杂地基工程的数值分析提供新的思路和参考。  相似文献   

13.
介绍了三维弹粘塑性块体单元法的基本原理。该方法假定岩石块体为刚体,只考虑结构面的变形和强度特性。在建立块体系统的平衡方程、结构面的变形与块体位移的几何相容方程以及结构面上的弹粘塑性本构方程的基础上,出块体系统位移与稳定的基本方程。针对龙滩水电站右坝肩边坡地质条件复杂,块体稳定问题较为突出的情况,采用块体单元法计算了边坡中典型结构面切割形成的特定块体在不同工况下的强度储备安全系数,并针对结构面的几何参数和力学参数等重要影响因素进行了敏感性分析,为工程设计提供了依据。应用表明,作为一种新型的水工结构数值方法,块体单元法应用于复杂地质条件下的岩石高边坡的稳定和变形分析具有准确、适用和简便的特点。  相似文献   

14.
断裂问题的扩展有限元法研究   总被引:3,自引:0,他引:3  
扩展有限元(extended finite element method,XFEM)是近年来发展起来的、在常规有限元框架内求解不连续问题的有效数值计算方法,其基于单位分解的思想,在常规有限元位移模式中加入能够反映裂纹面不连续性的跳跃函数及裂尖渐进位移场函数,避免了采用常规有限元计算断裂问题时需要对裂纹尖端重新加密网格造成的不便。在推导扩展有限元算法的基础上,分析了应力强度因子的J积分计算方法及积分区域的选取。采用XFEM对I型裂纹进行了计算,有限元网格独立于裂纹面,无需在裂纹尖端加密网格;分析了积分区域、网格密度对应力强度因子计算精度的影响,指出了计算应力强度因子的合适参数,验证了此方法的可靠性和准确性。  相似文献   

15.
陈亚雄  张振南 《岩土力学》2013,34(Z2):443-447
节理岩体中富含结构面等不连续体,其中很多结构面之间具有一定黏结强度,在冲击荷载作用下会发生脱结(debond)行为,从而消耗岩体应变能。在该结构面之间的黏结性质在很大程度上决定着岩体的破坏行为,发生脱结后,结构面之间不再具有黏结强度,岩体的力学性能发生弱化。为了对该类结构面进行模拟,在改进的Xu-Needleman势函数基础上推导出结构面单元,并将其嵌入到单元劈裂法中,模拟结构面的开裂过程,当结构面完全脱结后结构面单元就转化为一般节理单元。相应地,在数值实现过程中只是将结构面单元替换为一般节理单元即可。该结构面单元与单元劈裂法相结合,能够有效地模拟节理岩体的破坏过程。  相似文献   

16.
The key question regarding steep rock slopes along rock quarries is their stability because a rock slope failure can have critical results. In this study, the aim is to investigate the areas with potential risk for jointed karstic limestones in a rock quarry. First, to determine rock mass properties, scan-line surveys were performed, and the major orientations of discontinuities were analyzed using stereographic projection. Then, the physicomechanical properties of the slope-forming rock were determined in the laboratory, and geomechanical properties of the rock mass were determined using an empirical failure criterion. Finally, the quarry slope stability was assessed in accordance with numerical modelling. According to the results obtained, the numerical modelling of steep rock slopes can be efficiently evaluated by using finite element method. Beside this, the presence of joints intersecting the main discontinuity sets, the filling materials of discontinuities resulting from weathering of limestone and surface deposits, surcharge load due to mine waste dumped on the slopes and excavation blasting during construction of quarry area play a key role when modelling the steep rock slopes by using finite element method.  相似文献   

17.
Analysis of strength and moduli of jointed rocks   总被引:1,自引:0,他引:1  
This paper deals with two aspects of jointed rock mass behavior, first the finite element modeling of a jointed rock mass as an equivalent continuum, second the comparison of empirical strength criteria of a jointed rock mass. In finite element modeling the jointed rock properties are represented by a set of empirical relationships, which express the properties of the jointed medium as a function of joint factor and the properties of the intact rock. These relationships have been derived from a large set of experimental data of tangent elastic modulus. It is concluded that equivalent continuum analysis gives the best results for both single and multiple jointed rock. The reliability of the analysis depends on the estimation of joint factor, which is a function of the joint orientation, joint frequency and joint strength.Empirical strength criteria for jointed rocks, namely Hoek and Brown, Yudhbir et al., Ramamurthy and Arora, Mohr–Coulomb have been incorporated in a nonlinear finite element analysis of jointed rock using the equivalent continuum approach, to determine the failure stress. The major principal stress at failure, obtained using Ramamurthy's criteria, compares very well with experimental results.  相似文献   

18.
杜朋召  刘建  韩志强  徐华 《岩土力学》2013,34(Z1):393-405
用数值方法对岩质高边坡进行稳定性分析时,描述岩体结构对的精细程度会影响分析结果,但常见的有限单元法程序仍难以对复杂节理岩体进行精细建模。为解决这一问题,将结构面网络模拟与离散单元法相结合,在UDEC软件中,利用FISH语言编写网络模拟程序,依据结构面统计资料和结构面分级,实现对复杂岩体结构的精细描述。以某大型水电工程边坡为例,在对岩体结构进行精细描述的基础上,采用离散元强度折减法对边坡进行稳定性分析。通过与极限平衡法和一般离散元结果的对比,表明基于复杂岩体结构精细描述确定的边坡潜在滑动面和安全系数是合理的,为复杂岩质边坡破坏模式和稳定性的分析提供了新的途径。  相似文献   

19.
This paper attempts to present questions associated with the stability of advanced vault excavations which are driven according to the New Austrian Tunnelling Method (NATM) without lining of the temporary invert. The dimensions of the investigated cross-section correspond to those of the tunnels driven on the new high-speed tracks for the German Federal Railways. Two possible modes of failure are investigated with the aid of continuum mechanics analyses according to the finite element method. Reference is made to structural measures which may positively influence the stability of this construction stage. Furthermore, the manner in which the stress-strain behaviour of a horizontal alternating sequence with open vertical discontinuities may be taken into consideration in a continuum mechanics analysis is also demonstrated. The analysis results presented clearly show that the load-carrying action of the rock mass which characterizes the NATM may be better described by rock mechanics analyses according to the finite element method than by conventional procedures.  相似文献   

20.
Numerical modelling of rock slides is a versatile approach to understand the failure mechanism and the dynamics of rock slopes. Finite element slope stability analysis of three rock slopes in Garhwal Himalaya, India has been carried out using a two dimensional plane strain approach. Two different modelling techniques have been attempted for this study. Firstly, the slope is represented as a continuum in which the effect of discontinuities is considered by reducing the properties and strength of intact rock to those of rock mass. The equivalent Mohr-Coulomb shear strength parameters of generalised Hoek-Brown (GHB) criterion and modified Mohr-Coulomb (MMC) criterion has been used for this continuum approach. Secondly, a combined continuum-interface numerical method has been attempted in which the discontinuities are represented as interface elements in between the rock walls. Two different joint shear strength models such as Barton-Bandis and Patton’s model are used for the interface elements. Shear strength reduction (SSR) analysis has been carried out using a finite element formulation provided in the PHASE2. For blocky or very blocky rock mass structure combined continuum-interface model is found to be the most suitable one, as this model is capable of simulating the actual field scenario.  相似文献   

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