喀斯特地区嵌岩混凝土摩擦桩的反算

云南南盘江大桥为7跨预应力钢构连续桥, 1、2号墩为桩基,采用人工挖孔灌注桩。No. 2嵌岩桩底下部12m处为强风化白云岩。对拟定的端承区域勘探发现在桩底的岩石- 混凝土接触区域有一溶洞,溶洞高约20m,垂直发育,洞底有粘土、碎石土充填,结构松散,粘土为软塑状。东南大学采用与O-cel l试验类似的平衡内部千斤顶系统进行了桩的荷载实验。O-cell试验安装在距桩底12m处,即靠近桩下部的弱风化与强风化岩石之间的接触区域。本文阐述了O-cell试验数值分析中用来反算桩体/岩石交接区域特性的部分。采用的数值分析软件为BAQUS,版本6. 4 ( ABAQ US, 2004) 。同时采用二维轴对称模型来对桩径2. 5m、桩长49m的钻孔桩进行O-cell试验数值模拟。假设加载的钻孔桩的变形与屈服发生在混凝土桩体与岩石的交接区域,混凝土桩为线弹性,强风化白云岩与弱风化白云岩为弹- 塑性,并可用Drucker- Prag er 模型( ABAQUS, 2004)表示,对岩石和混凝土- 岩体接触面的特性进行反算,然后用反算结果模拟桩顶荷载特征。数值模拟计算和现场载荷试验检测的载荷- 位移曲线对比表明,除了非弹性和永久变形外,整个向上与向下的变形与试验检测到的值基本相同。这主要是由于接触面模型的弹性性质所决定的,即它在卸载过程中会将滑动的接触面复原;而永久变形是岩体-混凝土接触面屈服的结果。必须指出的是,由于桩的承载力相对较高( 2. 5m桩径,嵌岩长度37m) ,试验不能达到最终荷载, 所以检测到的变形也较小( <10mm)。分别在桩端、O-单元荷载盒上37m处检测向上弯沉,并将结果与O-单元荷载盒顶部的弯沉作比较。结果发现,由于桩是由O-单元荷载盒底部向上加载,所以桩端的弯沉预计比O-单元荷载盒的弯沉小约5mm。这一差值几乎等于施加荷载状态下无限制(Δ= P L /A E )桩体的理论弹性缩短量。通过O-cell现场试验可以有效地观测加载状态下荷载弯沉反应情况和调整或校准数值分析中的材料模型,并可将之推广应用到相同地质条件下类似项目施工的其它桩的反应过程中。此外,还可以通过溶洞区域中的高承载力桩的O-cell试验结果来构建桩体摩擦反应的模型; 在模型摩擦反应基础上,可以估计桩端预计的变形反应值; 在交接面反应中,可以采用正弦接触面有效地引入人工粘结和表面粘结。      

The Influence of Shearing Velocity on Shear Behavior of Artificial Joints

In this paper, the effects of shear velocity on the shearing behavior of artificial joints have been studied at different normal stress levels. Here, artificial joints with planar and rough surfaces were prepared with the plaster (simulating soft rock joints) and concrete (medium-hard rock joints) materials. The rough joints had triangular shaped asperities with 10° and 20° inclination angles. Direct shear tests were performed on these joints under various shear velocities in the range of 0.3–30 mm/min. The planar plaster–plaster and planer concrete–concrete joints were sheared at three levels of normal stress under constant normal load boundary condition. Also, the rough plaster–plaster and concrete–concrete joints were sheared at one level of normal stress under constant normal stiffness boundary condition. The results of the shear tests show that the shearing parameters of joints, such as shear strength, shear stiffness and friction angle, are related to the shear velocity. Shear strength of planar and rough plaster–plaster joints were decreased when the shear velocity was increased. Shear strength of concrete joints, except for rough joints with 10° inclination, increased with increasing shear velocity. Regardless of the normal stress level, shear stiffness of both planar plaster–plaster and concrete–concrete joints were decreased when the shear velocity was increased.     

AN INTERFACE MODEL FOR ANALYSIS OF DEFORMATION BEHAVIOUR OF DISCONTINUITIES

An interface constitutive model is presented accounting for slip and sliding effects and also for dilatancy phenomena. The microslip effects are described by considering spherical asperity interaction with variation of contact area and generation of progressive or reverse slip zones. The incremental constitutive equations are derived with proper memory rules accounting for generation and annihilation of particular slip zones during the process of variable loading. It is further assumed that sliding of spherical contacts occurs along large asperities whose slope varies due to the wear process. The predicted shear and dilatancy curves are shown to provide close quantitative simulation of available experimental data. The strain ratchetting effect for non-symmetric cyclic loading was exhibited using the asperity wear model. The model presented could be applied to simulate rock joints, masonry, or concrete cracked interfaces, under monotonic and cyclic loading.     

现浇混凝土-冻土接触面冻结强度直剪试验研究

关于混凝土-冻土接触面的力学强度研究多集中于预制成型混凝土样（块）与冻土接触面的力学试验研究,而与工程实际更为接近的冻土中现浇混凝土、冻结稳定后混凝土-冻土接触面的力学强度研究则少有涉及。基于冻土中现浇混凝土的试验方式,开展了不同水灰比、含冰量及冻土温度条件下,混凝土-冻土复杂接触面冻结强度的直剪试验研究。结果表明：试验条件下,由于混凝土中粗、细骨料导热系数及水化热侵蚀强度不同,冻土中现浇混凝土会导致混凝土-冻土接触面发生起伏变化。受该因素影响,粗糙接触面较光滑接触面的冻结强度增大71.9%。粗糙接触面引起的应力集中,使得剪应力在剪切破坏过程中出现间歇性增大、跳跃。在冻结强度构成中,随接触面粗糙程度的增大, φ值对冻结强度增长的贡献要大于c值。水灰比由0.4增至0.6,混凝土导热系数降低,生成接触面趋于光滑,冻结强度减小;土体含水量由15%增大至30%时,冻结强度增大,含水量继续增大至40%时,冻结强度减小;在不同温度条件下,整体呈现冻土温度降低冻结强度相应增大的趋势。基于上述结果,多年冻土区灌注桩设计时,建议混凝土采用0.4~0.5水灰比。     

一种新型粗糙节理面随机强度模型及其应用

天然岩体在长期地质作用下会生成各种节理裂隙等不连续面,而地下工程结构的稳定性一般取决于这些不连续面的强度。在众多因素中,表面形态对岩石节理面剪切强度具有决定性影响。为了系统研究岩石节理面剪切强度的确定方法,把岩石节理面概化为一系列高度不同的微长方体凸起组成的粗糙表面结构,且微长方体凸起有剪胀破坏和非剪胀破坏两种模式。综合微长方体凸起破坏规律,应用概率密度函数描述节理面表面起伏分布的影响,建立了粗糙节理面随机强度模型,推导了节理面剪切强度理论公式,提出了节理面强度的随机评价方法。基于随机强度模型和评价方法编制Matlab计算程序计算自然粗糙节理面的剪切强度,并将计算结果与试验结果进行比较分析。研究表明:粗糙节理面随机强度模型综合了粗糙节理面表面形态和法向应力对节理剪切强度的影响机制,理论计算值与试验数据吻合良好,可以较好的评价粗糙节理的峰值剪切强度和残余剪切强度。该随机模型可作为进一步深入研究的重要基础,分析结构面的连续剪切过程,建立更完善的节理面强度模型。     

两体接触面剪切力学行为的三维数值分析

研究岩石-岩石节理或混凝土-岩石接触面的力学行为,对于评价岩体的稳定性及工程体与岩基的稳定性有重要的意 义。采用ANSYS有限元软件构建了在宽度方向一致的三维粗糙表面,模拟计算了Bandis等在玄武岩试件上的直剪试验结 果,并将数值计算结果与试验结果对比,验证了ANSYS在分析两体剪切力学行为方面的可行性。此外对于有规则起伏的锯齿界面,同样进行了三维直剪试验的数值模拟,获到了不同界面和应力边界条件下的剪切强度,并与Patton剪胀公式理论值进行比较,从理论上再次验证了ANSYS模拟直剪试验的适用性。同时重点分析了直剪试验下的剪切位移曲线、接触面的剪应力分布、剪胀作用;并初步探讨了ANSYS软件自身设定凝聚力对接触面力学性能的影响。     

Some Effects of Shearing Velocity on the Shear Stress-Deformation Behaviour of Hard–Soft Artificial Material Interfaces

Shear behaviour of the joints formed by the interface of two different material types, such as rock and cemented paste backfill, rock and concrete or two different rock types, have practical importance in many rock engineering activities. This paper presents the results of an experimental investigation into the shear behaviour of these special joints under pseudo-static shear velocity. Direct shear tests on concrete–plaster interfaces were carried out under boundary conditions of constant normal load and constant normal stiffness. Shearing velocities of the performed tests were in the range of 0.3–30 mm/min. The results of the shear tests conducted on the planar and rough artificial prepared joints showed that the shearing velocity has a significant influence on the shear strength, friction angle and shear stiffness of the hard–soft material interface. So that, these parameters were decreased when shear velocity was increased. Also, comparison of the tests results that performed on the concrete–plaster joints with those from tests on the plaster–plaster and concrete–concrete interfaces showed that the shear behaviour of concrete–plaster interface is governed mainly by the shear parameters of the plaster block (namely softer material).     

A constitutive model for unsaturated soil interfaces

A constitutive model based on the disturbed state concept is presented to describe the behavior of interfaces in unsaturated soil. The model is an extension of an existing model developed for a sand–steel interface. As opposed to the original model, the modified model incorporates two independent stress variables, which are the net normal stress and matric suction. The saturated and dry state of the interface can be modeled as a special case using the constitutive model presented in this paper. The modified model is capable of capturing the main features of unsaturated interfaces observed during laboratory testing, including increasing shear strength and strain softening with increasing suction and net normal stress and increasing dilatancy with increasing suction. Laboratory tests were carried out on unsaturated interfaces in a modified direct shear test apparatus. The observed behavior of interfaces between unsaturated soil and steel plates (rough and smooth) is presented in comparison with model predictions. Copyright © 2008 John Wiley & Sons, Ltd.     

A simple failure criterion for rough joints and compound shear surfaces

The subject under investigation is the strength of a single shear plane which exhibits a regular, asymmetric roughness pattern. In the shear direction the asperities are so steeply inclined that the joint becomes mechanically non-effective with the result that the asperities are sheared off. Against the shear direction the asperities are only gently inclined. It is shown that this particular roughness pattern is of some general importance in geomechanics (examples: unconfined compression test; shear plane with secondary fractures).

Simple analytical considerations allow the formulation of a shear criterion, which is dependent on friction angle ø_m and cohesionc_m of the intact rock and on the inclination γ of the gently inclined parts of the asperities which are dipping against the shear direction. In the Mohr-diagram the criterion results in envelopes which converge at high normal stresses against the envelope of intact rock. Furthermore, the criterion expresses that both the slope of the envelopes and the dilation angle continuously decrease with increasing normal stress. Therefore the criterion adequately describes features which are regarded as most important when shearing rough joints or compound shear surfaces.     

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.     

Analysis of Inflatable Rock Bolts

An inflatable bolt is integrated in the rock mass through the friction and mechanical interlock at the bolt–rock interface. The pullout resistance of the inflatable bolt is determined by the contact stress at the interface. The contact stress is composed of two parts, termed the primary and secondary contact stresses. The former refers to the stress established during bolt installation and the latter is mobilized when the bolt tends to slip in the borehole owing to the roughness of the borehole surface. The existing analysis of the inflatable rock bolt does not appropriately describe the interaction between the bolt and the rock since the influence of the folded tongue of the bolt on the stiffness of the bolt and the elastic rebound of the bolt tube in the end of bolt installation are ignored. The interaction of the inflatable bolt with the rock is thoroughly analysed by taking into account the elastic displacements of the rock mass and the bolt tube during and after bolt installation in this article. The study aims to reveal the influence of the bolt tongue on the contact stress and the different anchoring mechanisms of the bolt in hard and soft rocks. A new solution to the primary contact stress is derived, which is more realistic than the existing one in describing the interaction between the bolt and the rock. The mechanism of the secondary contact stress is also discussed from the point of view of the mechanical behaviour of the asperities on the borehole surface. The analytical solutions are in agreement with both the laboratory and field pullout test results. The analysis reveals that the primary contact stress decreases with the Young’s modulus of the rock mass and increases with the borehole diameter and installation pump pressure. The primary contact stress can be easily established in soft and weak rock but is low or zero in hard and strong rock. In soft and weak rock, the primary contact stress is crucially important for the anchorage of the bolt, while in hard and strong rock it is the secondary contact stress that plays a vital role.     

Physical Modelling of Stress-dependent Permeability in Fractured Rocks

This paper presents the results of laboratory experiments conducted to study the impact of stress on fracture deformation and permeability of fractured rocks. The physical models (laboratory specimens) consisted of steel cubes simulating a rock mass containing three sets of orthogonal fractures. The laboratory specimens were subjected to two or three cycles of hydrostatic loading/unloading followed by the measurement of displacement and permeability. The results show a considerable difference in both deformation and permeability trends between the first loading and the subsequent loading/unloading cycles. However, the micrographs of the contact surfaces taken before and after the tests show that the standard deviation of asperity heights of measured surfaces are affected very little by the loadings. This implies that both deformation and permeability are rather controlled by the highest surface asperities which cannot be picked up by the conventional roughness characterization technique. We found that the dependence of flow rate on mechanical aperture follows a power law with the exponent n smaller or larger than three depending upon the loading stage. Initially, when the maximum height of the asperities is high, the exponent is slightly smaller than 3. The first loading, however, flattens these asperities. After that, the third loading and unloading yielded the exponent of around 4. Due to the roughness of contact surfaces, the flow route is no longer straight but tortuous resulting in flow length increase.     

内水压力下水工隧洞衬砌与围岩承载特性研究

衬砌与围岩是水工隧洞的主要组成部分,内水压力是其承担的主要荷载之一。采用轴对称计算模型,以衬砌与围岩间接触应力状态为判断标准,研究了衬砌混凝土开裂前后围岩渗透系数、变形模量等材料参数对衬砌与围岩联合承载特性的影响,详细地介绍了透水衬砌的设计方法和计算过程,以混凝土最大裂缝宽度为控制标准,编制了透水衬砌结构计算与配筋设计程序,并给出了算例验证。计算结果表明,围岩渗透系数是隧洞结构设计的关键,与围岩变形模量具有同等重要作用;围岩透水性越差或变形模量越低,衬砌与围岩越容易脱开;与混凝土开裂前相比,混凝土开裂后,衬砌与围岩更容易脱开;与钢板衬砌方案相比,钢筋混凝土衬砌方案可以很大程度地减小钢材用量;建议高压钢筋混凝土衬砌隧洞设计、施工时,应尽可能地保持围岩的完整性,并进行细致周密的固结灌浆,以增强围岩抗渗能力。     

A Shear Model Accounting Scale Effect in Rock Joints Behavior

Understanding the scale effect on the mechanical behavior of a single rock joint is still very important in rock engineering. Rock joints can be classified into three different categories depending on their scale: the “micro scale” which is the scale of the asperities; the “meso scale” is the scale of the specimens tested in laboratory; and the “macro scale” which is the scale of the rock mass. The purpose of this paper is to propose an effective way to model rock joints at both the meso and macro scale. An original constitutive mechanical model, in which parameters are deduced from experimental results, has been developed. This model is then extended to simulate the discontinuities occurring at a larger size. At the macro scale, the constitutive modeling was carried out for both small and large relative displacements. Large displacements lead to substantial changes in dilation. For both cases, the peak shear stress vanishes for joints longer than 2 m.     

基于RNN模型的坝体和岩基区间参数反演方法研究

针对混凝土大坝坝体和岩基参数的区间不确定性,构造具有区间分析功能的RNN（粗糙神经网络）模型,并运用该模型反演坝体和岩基区间参数值。应用区间有限元对结构进行正分析,根据区间参数反演的需要选取相应的区间学习样本,利用RNN模型对样本进行模式学习直至网络收敛,最后通过网络回想和反归一法得到坝体和岩基力学参数的区间值。研究结果表明,该方法可用于反演混凝土坝坝体和岩基区间力学参数,反演得到的区间参数值是合理的。此外,基于RNN模型的区间参数反演方法经过一定的拓展和改进,理论上可应用于反演其他类型的区间参数。     

含二阶起伏体的模拟岩体节理试样剪切特性试验研究

利用规则的小尺寸锯齿构造二阶起伏体,对不同二阶起伏体高度的人工节理进行常法向应力下的直剪试验,研究了节理剪切力学特性。对节理的剪切强度、变形特征进行了分析,并对破坏特征做出解释。试验结果表明：二阶起伏体对节理剪切力学特性有重要影响,含二阶起伏体节理的剪切力学特性与只含有一阶起伏体节理的剪切力学特性不同,只含一阶起伏体的节理剪应力只有一个峰值,含二阶起伏体的节理会出现波浪状的剪胀曲线和多峰值剪应力,且峰值剪应力随剪切位移增大依次出现并逐个减小;随着二阶起伏体高度增大,节理峰值剪切强度增大,节理依次出现磨损破坏、多次性剪断破坏、一次性剪断破坏。     

Shear behaviour of cemented pastefill-rock interfaces

The shear stress–strain behaviour and shear strength parameters of the interface between cemented paste backfill (CPB) and rock are of practical importance in the optimal and safe design of CPB structures. An understanding of the shear behaviour and properties at this interface is also required to develop comprehensive interface models for CPB-rock analyses, interface design methods for the static and dynamic stability analysis of CPB structures, and building high performance CPB structures. In this study, direct shear tests were conducted to investigate the interface shear strength behaviour between CPB and rock. All tests were carried out in a standard direct shear test apparatus for a range of curing ages of 1 to 28 days for the CPB. The procedures of the laboratory tests will be described. Results will be presented for interface shear behaviour, including stress–strain curves, vertical deformation and shear strength parameters. The test results show that the shear strength parameters and behaviour of the CPB-rock interface are time-dependent and significantly influenced by the normal load.     

Bonded-particle model-based simulation of artificial rock subjected to cyclic loading

A nonlinear parallel-bonded stress corrosion (NPSC) model is proposed to simulate the fatigue characteristics of artificial rock (concrete) during cyclic loading. Numerical simulations of fatigue tests replicate the main mechanical features of concrete specimens subjected to cyclic loading observed in the laboratory. A nonlinear reduction speed of the bond diameter between two bonded particles represents the damage rate induced by the fatigue load. The damage rate is proportional to the maximum cyclic load level when the minimum cyclic load level is fixed. Compared with laboratory data, a logarithmic function of bond diameter in the NPSC model resulted in the best fit to simulate the fatigue behaviour of concrete. The simulation includes acoustic emission (AE) monitoring during fatigue tests. The axial strain of the assembly is governed by the evolution of bond breakages. The sum of released bond strain energy is documented as value proportional to cumulative AE energy. The simulation results show very similar evolution compared with laboratory data, which verifies the effectiveness of AE energy simulation.

     

Contact mechanism of a rock fracture subjected to normal loading and its impact on fast closure behavior during initial stage of fluid flow experiment

Fast closure of rock fractures has been commonly observed in the initial stage of fluid flow experiments at environmental temperatures under low or moderate normal stresses. To fully understand the mechanisms that drive this fast closure, the evolution of local stresses acting on contacting asperities on the fracture surfaces prior to fluid flow tests needs to be evaluated. In this study, we modeled numerically the asperity deformation and failure processes during initial normal loading, by adopting both elastic and elastic–plastic deformation models for the asperities on a real rock fracture with measured surface topography data, and estimated their impact on initial conditions for fluid flow test performed under laboratory conditions. Compared with the previous models that simulate the normal contact of a fracture as the approach of two rigid surfaces without deformations, our models of deformable asperities yielded smaller contact areas and higher stresses on contacting asperities at a given normal stress or normal displacement. The results show that the calculated local stresses were concentrated on the contacts of a few major asperities, resulting in crushing of asperity tips. With these higher contact stresses, however, the predicted closure rates by pressure solution are still several orders of magnitude lower than that of the experimental measurements at the initial stage of fluid flow test. This indicates that single pressure solution may not likely to be the principal compaction mechanism for this fast closure, and that the damages on contacting asperities that occur during the initial normal loading stage may play an important role. Copyright © 2015 John Wiley & Sons, Ltd.