Differences Between Mode I and Mode II Crack Propagation

Although mode I and mode II crack propagation show many similarities, in particular when analysed by linear elastic fracture mechanics, they differ significantly in the micro-structural behaviour. These differences, which are clearly noticeable in the fracture surface morphology, lead to fundamental differences in the macroscopic behaviour. Thus, mode II crack expansion under remote loading, appears to obey micro-structural scaling laws, implying that the dimensions of the process region stay essentially constant during crack expansion, rather than increasing with crack length. Therefore, expanding mode II cracks can almost reach the Rayleigh velocity, and actually also intersonic velocities. An expanding mode I crack, on the other hand, seems to obey continuum scaling laws, implying that the dimensions of the process region increase in proportion to crack length, leading to self-similar crack expansion at a velocity significantly below the Rayleigh speed and dependent on the remote load.     

土钉面层配筋量计算原理及实例分析

本文在分析国内外大量文献资料的基础上,对土钉面层的受力机制进行了详细的讨论和分析,认为土钉面层主要受到钉体对面层的集中荷载及土体对面层的分布荷载作用。引入半弹性体和布辛涅奈斯克理论推导出了较为实用的土钉面层配筋量计算公式,并通过实例验证了该公式的正确性。     

A numerical study on 2-D compressive wave propagation in rock masses with a set of joints along the radial direction normal to the joints

An explosion in a borehole or an accidental explosion in a tunnel will generate a two-dimensional (2-D) compressive wave that travels through the surrounding rock mass. For the problem of 2-D compressive wave propagation in a rock mass with parallel joints in the radial direction normal to the joints, parametric studies on the transmission ratio and the maximum rebound ratio are performed in universal distinct element code. The variation of the transmission ratio with the ratio of joint spacing to wavelength is generalized into a characteristic curve, which can be used as a prediction model for estimating the transmission ratio. The relationship between the maximum rebound ratio and the influence factors is obtained in charts. The charts can be used as a prediction model for estimating the maximum rebound ratio. The proposed prediction models for estimating the transmission ratio and the maximum rebound ratio are applied to a field explosion test, Mandai test in Singapore. The minimum possible values of peak particle velocity (PPV) at the monitoring points are estimated by using the proposed prediction model for estimating the transmission ratio along the radial direction normal to the joints. On the other hand, the maximum possible values of PPV are estimated by using the proposed prediction model for estimating the maximum rebound ratio along the same radial direction. The comparison shows a good agreement between the field-recorded PPVs and the estimated range of PPVs given by the minimum possible PPVs and the maximum possible PPVs at the monitoring points in Mandai test. The good agreement between the estimated and field-recorded values validates the proposed prediction models for estimating peak particle velocity in a rock mass with a set of joints due to application of a compressive wave at the boundary of a tunnel or a borehole.     

“醉汉林”作为滑坡和边坡变形特征标志的意义——以陕西陇县地区为例

“醉汉林”一般被当做滑坡存在的一种标志。在陕西宝鸡地区进行地质灾害详细调查的过程中,发现变形边坡也有“醉汉林”分布。对陕西陇县郭家庄变形边坡“醉汉林”的树木倾斜角与边坡的倾角进行了测量,并结合几何学分析,认为树木倾斜角反映了边坡倾角的变化,并得出边坡倾角不断变陡是该地区边坡变形的一种主要方式的结论。研究结果表明,“醉汉林”有着多样而具体的指示意义:“醉汉林”记录了边坡变形的历史,可以作为区分滑坡与变形边坡的标志,“醉汉林”可以指示滑坡及边坡的状态,还可以判断滑坡剪出口是否存在。     

河道洪水反流向演算过程迭代方法

在流域防洪调度中需要考虑河槽的调蓄作用,河道洪水反流向演算可以简化河库联合调度模型的求解;马斯京根法是河道洪水演算的常用方法,但不能直接用于解决洪水反流向演算问题;提出了马斯京根法和迭代试算相结合的过程迭代算法;实例表明方法是实用有效的。     

地震折射和反射波联合勘探在桥址区工程勘察中的应用

用浅层地震折射和反射联合勘探方法在京—沪高速公路沭河桥址区进行隐伏断层和层位划分探测试验。试验是在宽约300m的水面上进行的,采用ES-2401高分辨率数字地震仪和“五小二高”的工作方法,综合利用折射和反射波信息,提高地质推断解释的可靠性,探测试验取得了良好的效果。     

根据含超压气体裂隙震源模式讨论P波初动符号的分布

利用含超压气体裂隙震源模式［１］分析研究了Ｐ波初动符号的分布．根据理论推导,不同倾角含超压气体裂隙可分别形成Ｐ波初动符号的四象限分布图象和圆、椭圆、抛物线、双曲线等圆锥曲线形Ｐ波节线．按节线形状和失稳方式进行了地震分类．所推论的初动Ｐ波、Ｓ波振幅分布规律和地形变特征都与实际相符     

河北尚义侏罗系后城组节理研究

研究区侏罗系后城组地层发育着多组节理,根据其方位及相互关系,自早到晚分为５个节理组,其定向分别为１７４°、７７°、５８°、１４５°和１１９°,反映出节理形成的最大主压应力方向交替变化和偏转。岩石应变强度具有由弱至强,再由强至弱的演化趋势,而节理型式趋向不规则。区内节理多属构造成因,推测形成于侏罗纪末至白垩纪初近南北向的区域挤压过程。热液活动在区内节理形成之后,而后１１９°方位节理组发生右行走滑。     

Coupled HM analysis using zero‐thickness interface elements with double nodes—Part II: Verification and application

In a companion Part I of this paper (Int. J. Numer. Anal. Meth. Geomech. 2008; DOI: 10.1002/nag.735 ), a coupled hydro‐mechanical (HM) formulation for geomaterials with discontinuities based on the finite element method (FEM) with double‐node, zero‐thickness interface elements was developed and presented. This Part II paper includes the numerical solution of basic practical problems using both the staggered and the fully coupled approaches. A first group of simulations, based on the classical consolidation problem with an added vertical discontinuity, is used to compare both the approaches in terms of accuracy and convergence. The monolithic or fully coupled scheme is also used in an application example studying the influence of a horizontal joint in the performance of a reservoir subject to fluid extraction. Results include a comparison with other numerical solutions from the literature and a sensitivity analysis of the mechanical parameters of the discontinuity. Some simulations are also run using both a full non‐symmetric and a simplified symmetric Jacobian matrix. On top of verifying the model developed and its capability to reflect the conductivity changes of the interface with aperture changes, the results presented also lead to interesting observations of the numerical performance of the methods implemented. Copyright © 2008 John Wiley & Sons, Ltd.     

DEM analyses of crack propagation in flawed rock mass under uniaxial compressionEI北大核心CSCD

A contact model for rock is established and imbedded into a DEM software by summarizing the bond granule tests. DEM simulation of uniaxial compression test on the pre-cracked Lac du Bonnet granite is performed, and then stress distributions are further analyzed and compared with the theoretical results. Different fracture criteria are employed to predict the crack initiation angles that are compared with theoretical ones. The results show that the failure modes obtained from DEM simulation are similar to experimental results, and stress distributions in DEM simulation are qualitatively similar to theoretical values. When the angle of pre-crack is small, the lateral stresses are compressive and tensile. The compressive strains concentrate at two edges, resulting in the tensile strains in the up-and downward cracks. When the angle of the pre-crack is large enough, the stress concentration is unobvious, leading to a discrepancy between the DEM and theoretical results. The crack extension angle resulting from uniaxial compression measured from DEM tests are in good agreement with those acquired from experimental tests. These angles are consistent with theoretical predictions by the maximum circumferential stress criterion and the maximum energy release rate criterion.