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1.
为了克服现有数值计算方法在计算复杂断裂面接触滑移过程中效率低的问题,通过吸收边界元的建模思想,提出了新的数值计算方法。在该算法中,所有网格均位于岩块的边界,利用显示差分方法计算得到岩块之间的相互作用力以及岩块的位移量。利用“小球在抛物面上滑移”、“哑铃在不同倾角的斜面上”两个模拟试验对文中的算法进行验证,同时利用文中算法与有限元算法对直剪试验进行模拟。结果表明:算法能够准确描述物体之间的相互接触,准确计算得到接触块体之间的法向位移。算法能够准确判断出接触物体的“滑移状态”和“稳定状态”,摩擦力的数值计算结果与解析解的误差小于10?10。在计算断裂面接触和剪应力变化规律时,算法与有限元算法的计算结果一致,但文中计算方法的效率显著提高。  相似文献   

2.
FAST台址巨石混合体的开挖稳定性对工程的建设和安全运营具有重要的意义。本文选取典型剖面,对FAST台址巨石混合体边坡在开挖后可能发生的坡体内部深层滑动和表层块体失稳两种破坏模式进行研究。结果表明:巨石混合体边坡沿最危险滑动面滑动的稳定系数约为2.8,不会发生坡体内部滑动。开挖后坡体上部较陡部位的表层块体由于失去支撑而发生失稳,再带动后方的块体运动。块体运动过程中重新堆积、咬合,体现出一定的自稳性。研究结果可为FAST台址巨石混合体及类似地质体的稳定性评价提供参考。  相似文献   

3.
This paper presents a boundary element method (BEM) procedure for a linear elastic fracture mechanics analysis in two‐dimensional anisotropic bimaterials. In this formulation, a displacement integral equation is only collocated on the uncracked boundary, and a traction integral equation is only collocated on one side of the crack surface. A fundamental solution (Green's function) for anisotropic bimaterials is also derived and implemented into the boundary integral formulation so that except for the interfacial crack part, the discretization along the interface can be avoided. A special crack‐tip element is introduced to capture the exact crack‐tip behavior. A computer program using FORTRAN has been developed to effectively calculate the stress intensity factors of an anisotropic bimaterial. This BEM program has been verified to have a good accuracy with previous studies. In addition, a central cracked bimaterial Brazilian specimen constituting cement and gypsum is prepared to conduct the Brazilian test under diametral loading. The result shows that the numerical analysis can predict relatively well the direction of crack initiation and the path of crack propagation. Copyright © 2007 John Wiley & Sons, Ltd.  相似文献   

4.
工程实践表明,在边坡、地基或地下工程岩体中几组地质结构面和临空面的组合往往构成可能失稳的岩石结构体、存在向临空面运动的可能性、影响到工程岩体的稳定性。这时必须针对这种可能失稳的结构体进行分析,采取必要的加固或处理。关于岩石结构体的稳定分析,文献中已有一些报导,但偏重于图解和计算方法、一般是针对特定单一块体的解析,仅应用于边坡工程。  相似文献   

5.
岩石边坡稳定的块体单元极限分析上限法   总被引:2,自引:0,他引:2  
郑惠峰  陈胜宏  吴关叶 《岩土力学》2008,29(Z1):323-327
将块体单元法与极限分析上限法相结合,提出了岩石边坡稳定的块体单元极限分析上限法。借助于块体单元法离散计算区域,通过块体系统速度场在结构面上满足Mohr-Coulomb屈服条件、关联流动法则、速度边界条件以及块体系统虚功原理,构成求解边坡强度储备安全系数上限解的非线性规划模型,模型的求解采用复合形法。最后研究了一个岩质楔形体边坡算例和小湾水电站进水口边坡实例,通过将块体单元法上限分析计算结果与刚体极限平衡法相比较,验证了该方法的正确性。  相似文献   

6.
李树忱  周锦添  李术才 《岩土力学》2007,28(12):2549-2552
目前隧道及大型地下工程往往在裂隙岩体中开挖,而裂隙与地下空间的距离及裂隙的扩展条件,制约着隧道及地下工程的稳定性。应用能考虑孔洞和裂纹问题的新型边界积分方程与无网格加辽金法结合,建立一种新型的边界无单元法。在该方法中基本的未知量是由边界上的面力和边界上位移密度函数构成的复变量边界函数 。文中应用的边界积分公式和Muskhelishvili的积分公式直接相关。将无网格构造方法引入新型的边界积分方程,建立了新型的边界无单元法。应用该方法详细分析了含隧道和裂纹间相互关系等问题,其数值结果与解析结果吻合很好,说明该方法的正确性和可行性。  相似文献   

7.
This paper presents a direct boundary element method (BEM), formulated in the Laplace transform space, for plane strain poroelasticity. The paper expands on work by Cheng and Liggett by recasting the theoretical foundation of BEM within the framework of Rice and Cleary's formulation of the Biot theory of poroelasticity. Furthermore, the numerical algorithm is generalized to deal with both interior and exterior domain problems, and a method for indirectly calculating the Cauchy principal value of the singular integrals is presented. Formulae for the stress and flux inside the domain are also derived. Finally, the algorithm is validated by comparing the numerical results with the analytical solution of a borehole subject to a far-field deviatoric stress (exterior domain) and with the solution of Mandel's problem (interior domain). These two examples provide a critical test of the algorithm.  相似文献   

8.
块体是结构控制型岩体中常见的潜在危险源之一。利用极限平衡法及强度折减法两种方法计算了某在建特大型水电站地下厂房开挖揭露的部分块体的安全系数,并根据计算结果提出一种利用块体几何及力学参数判断其稳定性的简便图解方法,经现场监测数据验证计算结果可靠性可满足工程要求。研究表明,对同一块体而言,极限平衡法和强度折减法得到的安全系数以及对其稳定性的总体判别结果并不一致。强度折减法受软件算法及网格尺寸影响,结果偏于保守。简单块体的安全系数计算应以极限平衡法为主,而复杂形态块体的安全系数用强度折减法计算较为方便。利用垂向地应力、块体体积、最大角点深度及结构面等效强度等4个指标并结合块体稳定性判别分区图,可满足快速判断块体稳定性的需要。对于判别为不稳定的块体,应及时支护并考虑加强支护。研究成果可用于类似工程块体稳定性的快速分析。  相似文献   

9.
肖国峰 《岩土力学》2023,(2):425-432
脱离模式是块体理论提出的有限可动块体的失稳模式之一。虽然直接塌落是地下工程中最常见的失稳现象,但是目前依然缺少适用的定量分析方法,这使得地下工程的开挖和加固设计缺乏必要的理论支撑。为此,提出了一种改进的考虑渐进破坏的岩块稳定分析方法。主要改进了3处:(1)引入超载基数和超载方向两个参数来量化描述储备荷载;(2)提出了Tan和Scal两种超载基数设定方式;(3)超载方向设定在节理锥的边界扇面上。算例验证结果表明,改进方法完全兼容现有双面滑模式的安全系数算法,实现了脱离模式的定量稳定性分析。最后,讨论了改进方法的刚度参数取值方法及其敏感性。  相似文献   

10.
A mixed finite element–boundary element solution for the analysis of two-dimensional flow in porous media composed of rock blocks and discrete fractures is described. The rock blocks are modelled implicitly by using boundary elements whereas finite elements are adopted to model the discrete fractures. The computational procedure has been implemented in a hybrid code which has been validated first by comparing the numerical results with the closed-form solution for flow in a porous aquifer intercepted by a vertical fracture only. Then, a more complex problem has been solved where a pervious, homogeneous and isotropic matrix containing a net of fractures is considered. The results obtained are shown to describe satisfactorily the main features of the flow problem under study. © 1997 by John Wiley & Sons, Ltd.  相似文献   

11.
王少杰  吕爱钟  张晓莉 《岩土力学》2018,39(12):4437-4447
将围岩和衬砌分别视作均质、连续的线弹性正交各向异性和各向同性体,并充分考虑衬砌的支护滞后效应和隧洞运行时的内水压力作用,运用复变函数方法中的幂级数解法,提出了正交各向异性岩体中任意形状水工隧洞的力学解析方法。以直墙半圆拱形水工隧洞为例,所获得的解析解可精确满足衬砌内边界的应力边界条件以及围岩与衬砌接触面的应力、位移连续条件,同时还将解析结果与ANSYS数值结果对比分析,吻合良好。利用获得的解析解,讨论了围岩开挖面上不同的各向异性程度、不同的弹性对称面角度以及隧洞内不同的水压荷载对衬砌以及围岩上应力和位移分布的影响。  相似文献   

12.
岩体在块系构造状态下的动力传播存在块体和块体间软弱介质的非协调变形现象,对岩体结构的动力稳定产生重要影响。目前块系岩体的非协调动力传播响应研究尚不充分,导致不能进行有效的动力响应特征识别。通过试验对块系岩体非协调动力传播过程岩块动力响应特征进行研究,分别从动力传播速度、岩块加速度振幅衰减、岩块振动位移响应、岩块振动持续时间、块体动能显现、块体振动频域响应特性等方面对比纵波传播,给出块系岩体非协调动力传播的特征分析。通过分析可知,块系介质非协调变形运动产生的动力传播现象相比于纵波传播是一种低频低速波,并伴随着岩块的大位移运动,同时岩块振动持续时间较长,蕴含着动能与势能的相互转换过程,这些现象构成了块系岩体非协调动力传播的重要特征。该研究将为识别岩体非协调动力传播特征及块系岩体的冲击预警波动特征识别提供参考。  相似文献   

13.
A time domain boundary element method (BEM) for evaluating stresses in an axisymmetric soil mass undergoing consolidation has been developed. Previous BEM work on axisymmetric poroelasticity for boundary displacements and pore pressures is extended to permit the computation of stresses at both boundary and interior points. The stress formulation preserves the surface-only discretization. The boundary displacement integral equation is progressively differentiated to obtain the related stress and strain integral equations. Explicit expressions for the steady-state axisymmetric fundamental solutions are derived in this process. The transient components of the integrands are obtained directly from the transformation of the three-dimensional kernels into a cylindrical system. Numerical implementation of these integral equations is carried out within a general purpose BEM computer code and several illustrative examples are presented to validate the method.  相似文献   

14.
层状地基群桩沉降计算的剪切位移解析算法   总被引:1,自引:0,他引:1  
考虑群桩的“束缚作用”,基于剪切位移法的理论,提出了竖向荷载作用下用于层状地基大规模群桩沉降分析的简捷实用的解析算法。以单桩位移积分方程为基础,导出了桩顶位移与轴力和桩底位移与轴力之间的关系,考虑桩-桩相互作用,得出了计算群桩沉降的柔度矩阵方程。推导过程中,桩被分成任意n段,因此该方法可以用于地基土任意分层的群桩沉降计算。算例分析表明,该方法与边混合法和界元法有较好的一致性。  相似文献   

15.
In jointed rock masses the instability of individuals, discrete blocks is a concern. In underground excavations it is necessary to know how much support is required for “key blocks” in the roof. As these blocks fall, dilatancy of the block's bounding joints tends to keep the block in contact with the surrounding rock mass. Shear stresses devloped along the joints as a result of this contact and help to support the block. By knowing the initial stress field and the shear properties of the joint, as a function of stress and displacement, a non-linear analysis can determine the normal and shear stresses on the bounding joints as a function of the displacement path. The amont of support required to keep the block in the roof can then be determined as a function of displacement.  相似文献   

16.
三峡永久船闸高边坡开挖三维离散元数值模拟   总被引:12,自引:5,他引:12  
李世海  高波  燕琳 《岩土力学》2002,23(3):272-277
采用面-面接触的三维离散元刚性块体模型,从实测节现面中取出其中的三组,按照其倾向,倾角和节理间距将三峡永久船闸未开挖的区域划分为10^5个离散单元,通过施加力边界条件,给出了与实测初始地应力场接近的数值模拟结果;然后,分4步模拟了永久船闸的开挖过程。计算结果表明:开挖过程会引起节理面出现张开趋势,个别岩体还会沿着节理面滑移。岩体位移的不对称现象较为自然地说明了由节理引起的岩体各向异性特征。  相似文献   

17.
基于? -SVR算法的隧道围岩位移演化规律预测   总被引:3,自引:0,他引:3  
针对目前广泛应用的灰色理论、遗传算法(GA)和人工神经网络(ANN)等方法预测隧道稳定性的缺陷,提出应用稳健性能较好的? -SVR(support vector machine)算法对非对称连拱隧道围岩位移演化规律进行预测研究。应用加速混合遗传算法搜索? -SVR最优参数,以提高? -SVR的预测能力。将预测结果与灰色理论、BP神经网络预测结果进行比较,显示? -SVR算法学习和预测精度高。  相似文献   

18.
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   

19.
离散元计算的位移控制方法   总被引:1,自引:0,他引:1  
陈文胜  柏署  杨燕 《岩土力学》2007,28(7):1304-1308
基于离散单元的动态松弛法,提出了由每循环步允许块体最大位移增量控制每步块体求解的方法--位移控制法。该方法通过对块体的位移试算来决定时步的大小,不仅解决了离散元计算中的如叠合过大等问题,还可以提高计算的精度和效率。编制了相应的程序和程序流程图,并给出了算例分析。  相似文献   

20.
Summary Discontinuities in a rock mass can intersect an excavation surface to form discrete blocks (keyblocks) which can be unstable. Once a potentially unstable block is identified, initial normal and shear stresses on each block face are calculated using elastic theory, and are then modified by discontinuity deformations as the keyblock displaces. The modified stresses are summed into resultant forces to evaluate block stability. Since the resultant forces change with displacement, successive increments of block movement are examined to see whether the block ultimately becomes stable or fails. Calculated keyblock stability increases with larger in situ stress magnitudes, larger lateral stress ratios, and larger shear strengths. Discontinuity stiffness controls block displacement more strongly than it does stability itself. Large keyblocks are less stable than small ones, and stability increases as blocks become more slender.  相似文献   

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