The elastic response of multiple underream anchors

A technique is developed for the analysis of multiple underream anchor systems resting in an elastic soil. This technique may be used to consider anchor systems involving arbitrary anchor inclination and depth beneath the soil surface, as well as arbitrary number, shape, size and spacing of underreams. The approach is largely analytical in nature and involves only a fraction of the computation required for a finite element analysis. Consideration is given to the effects of anchor depth and inclination to the soil surface, and the spacing and number of underreams upon the elastic response of anchor systems. On the basis of the result from this study, a simple, approximate method for estimating the response of multiple underream anchors is proposed. This approach involves the use of several interaction charts, which are presented in the paper, and can be used as a hand method for estimating the load–displacement behaviour of quite general anchor systems to sufficient accuracy for most practical purposes. The use of the approximate approach is illustrated by an example.     

锚杆挡土墙可靠度分析与计算方法

提出了锚杆挡墙中肋柱锚杆体系的串-并联模型。将肋柱视为连续梁,锚杆视为弹性支座,引入锚杆与锚固段周围岩土体的复合刚度系数,用位移法导出了各根锚杆所受荷载的统一计算公式。考虑各功能函数之间的相关性,运用系统可靠性理论,提出了单根锚杆3种破坏模式的串联系统与多根锚杆并联系统的体系可靠度计算方法,并编制了计算程序。对一工程实例进行计算,并对计算结果进行了分析,发现单根锚杆的3种失效模式并非相互独立,每种失效模式对锚杆可靠度的影响也不一样,而3根锚杆并联系统的失效概率近似等于在其他锚杆均未破坏的条件下每根锚杆单独失效概率之和。     

方形平板锚抗拉承载力的大变形有限元分析

基于网格重分和改进的REP应力恢复技术,建立了三维大变形有限元方法研究拉力作用下方形平板锚与黏性土地基的相互作用。与常规的小变形有限元不同,大变形分析能够完整模拟平板锚的上拔过程,如果平板锚底面与土体始终保持接触,三维大变形计算得到的方板与圆板抗拉力相差很小;在无重土中的平板在加载初始即与土体脱离时,方板的承载力略低于圆板。大变形分析给出的立即脱离承载力系数与模型试验数据基本吻合,而小变形有限元与下限分析忽略了方形平板锚的长距离上拔过程对其抗拉力的影响,可能高估深锚的承载力。改进估计方形平板锚抗拉承载力的简化方法,方便于工程应用。     

Numerical Investigation of the Inclined Pullout Behavior of Anchors Embedded in Clay

Two-dimensional plane strain finite element analysis has been used to simulate the inclined pullout behavior of strip anchors embedded in cohesive soil. Previous studies by other researchers were mainly concerned with plate anchors subjected to loads perpendicular to their longest axis and applied through the centre of mass. This paper investigates the behavior of vertical anchors subjected to pullout forces applied at various inclinations with respect to the longest anchor axis, and applied at the anchor top and through the centre of mass. The effects on the pullout behavior of embedment depth, overburden pressure, soil–anchor interface strength, anchor thickness, rate of clay strength increase, anchor inclination, load inclination and soil disturbance due to anchor installation were all studied. Anchor capacity is shown to increase with load inclination angle for anchors loaded through the centre of mass; greater effects are found for higher embedments. The results also show that anchor capacity improves at a decreasing rate with higher rates of increase of soil shear strength with depth. In addition, the capacity of vertically loaded anchors is shown to approximately double when the soil–anchor interface condition changes from fully separated to fully bonded. Similarly, disturbed clay strengths adjacent to the anchor following installation cause a significant reduction in anchor capacity. The results showed a significant effect of the point of load application for anchors inclined and normally loaded. The effects of other parameters, such as anchor thickness, were found to be less significant.     

Response of circular footings and anchor plates in non-homogeneous elastic soils

The axisymmetric elastic response of circular footings and anchor plates in a linearly non-homogeneous elastic soil is analysed. It is assumed that footings/anchors are flexible and subjected to axisymmetric vertical loads. The response of the footing/anchor is modelled by using the classical Poisson–Kirchhoff thin plate theory. A variational technique is used to analyse the interaction problem. A representation for the contact stress is established by using a fundamental solution corresponding to a unit vertical pressure acting over an annular region in the interior of the non-homogeneous soil. The fundamental solution can be derived by using rigorous analytical procedures. The influence of the footing flexibility and the degree of soil non-homogeneity on the displacements, bending moments and contact stresses of a surface footing is examined over a wide range of governing parameters. In the case of anchor plates the influence of depth of embedment, degree of soil non-homogeneity and anchor flexibility on the anchor displacement is investigated.     

锚板在正常固结黏土中的承载力

在岩土工程中,锚板通常被用来提供竖直或水平抗拔力,比如发射塔的基础、板桩墙结构和悬浮式海洋平台的基础。采用弹-塑性有限元方法对正常固结不排水黏土中的条形锚板进行数值分析,以图表形式给出了不同埋深率、不同上拔倾角、不同锚-土黏结形式下条形锚板的承载力系数和周围土体的流动机构,分析了土体自重对锚板承载力的影响,并给出了不同情况下锚板的极限承载力系数。采用基于重新划分网格并插值状态变量的大变形分析方法（RITSS）,分析了正常固结黏土中锚板在连续拔出过程中的承载力变化以及土重对锚-土分离模式的影响。     

砂土中扩体锚杆承载特性模型试验研究

在25个室内模型试验基础上,研究了均质砂土中竖向拉拔扩体锚杆的几何尺寸及埋深对其承载特性的影响。试验结果表明,根据深径比的不同,扩体锚杆可以分为浅埋与深埋扩体锚杆2种形式,它们在拉拔过程中均经历了土体弹性变形阶段、非扩体锚固段-土界面剪切破坏阶段、土体弹塑性变形阶段以及剪切破坏阶段,破坏特征分别表现为整体剪切破坏与局部剪切破坏。通过扩体锚杆与普通拉力型锚杆模型试验对比发现：与普通拉力型锚杆相比,扩体锚杆极限承载力、承载比与安全性均有大幅度提高。而通过增大扩体锚固段直径的方式提高扩体锚杆承载力的优势较为明显。此外,根据承载比分析,扩体锚杆存在最优扩体锚固段直径,因此,在实际工程中应寻找一个满足需要的最优扩体锚固段尺寸以取得较好的经济效益。     

Three-dimensional numerical analysis of the keying of vertically installed plate anchors in clay

Plate anchors, such as suction embedded plate anchors and vertically driven plate anchors, offer economically attractive anchoring solutions for deep/ultra-deep water offshore developments. The rotation/keying processes of plate anchors will cause embedment losses, which lead to decreases of the uplift resistances of the anchors in normally consolidated soil. In the present paper, the keying processes of vertically installed strip and square plate anchors are simulated using the 3-D large deformation finite element method. The effects of loading eccentricity and pullout angle on the embedment loss during keying are investigated. Both the development of the uplift resistance and the soil flow mechanisms are presented. The numerical results show that the loading eccentricity e/B has a much larger effect on the embedment loss than the pullout angle does. The anchor shape has a minimal effect on the loss in anchor embedment. The shape factors (square/strip) are 1.05–1.09 for loss of embedment and 1.10–1.19 for capacity.     

Interaction Effect of Group of Helical Anchors in Cohesive Soil Using Finite Element Analysis

In this paper, the interaction effect of a group of two and four symmetrical as well as asymmetrical helical anchors resting in homogeneous cohesive soil deposit with different helix configurations is determined using finite element analysis. The anchors were pulled to its ultimate failure controlling the displacement. Eight different types of anchor configuration were considered in the analysis, where mainly the number of helical plates, the depth of upper- and lower-most helical plates and the ratio of spacing between the helical plates to the diameter of the plate were varied. The variation of load–displacement curve for each anchor in the group was obtained and subsequently, the ultimate uplift capacity of each anchor was determined. The soil was assumed to follow Mohr–Coulomb failure criteria. The present theoretical observations are generally found in good agreement with those theoretical and experimental results available in the literature for single isolated helical anchor.     

Failure Mechanism of Soil Nail—Prestressed Anchor Composite Retaining Structure

Enhancing the strength of retaining structure with soil nails and prestressed anchors is a new technique that can be used in the excavation of deep foundation pit. Finite element analysis (FEA) based on ABAQUS is presented in this paper to investigate the failure mechanism of such retaining structure. The model used in the FEA is firstly validated by comparing the modelled results with field measurements for a specific case. The model is then extended to investigate the influence of the prestressed anchor on the (1) horizontal deformation of foundation pit and (2) the distribution of axial forces along the soil nails. It is found that the magnitude of anchor force is the key factor governing the performance of the entire retaining system. However, the influence of the prestressed anchor is sensitive to the rigidity of the concrete surface layer of the retaining structure. Based on the results of the modelling, the failure mechanism of soil nail—prestressed anchor composite retaining structure is discussed.     

Seismic interference of two nearby horizontal strip anchors in layered soil

In the present analysis, an attempt is made to explore the seismic response of two nearby horizontal strip anchors embedded in non-homogenous c-? soil deposit at different depths. The analysis is performed by using two-dimensional finite-element software PLAXIS 2D. Each anchor carries equal static safe-working load without violating the ultimate uplift capacity under static condition. The soil is assumed to obey the Mohr?CCoulomb failure criterion. The behavior of single isolated anchor subjected to an earthquake loading is determined first to study the interference effect between two anchors. The horizontal acceleration response obtained from the Loma Prieta Gilroy Earthquake (1989) is considered as the input excitation in the analysis. A parametric study is performed by varying the clear spacing (S) between the anchors at different embedment ratios (??). The magnitude of vertical displacement, shear stress, and shear strain developed at different locations of the failure domain is determined for different clear spacings between the anchors.     

深基坑土钉和预应力锚杆复合支护方式的探讨

土钉与预应力锚杆的复合支护方式是当前基坑工程中经常采用的支护方式。结合工程实例,利用有限元软件PLAXIS,合理选择本构模型,对土钉和预应力锚杆复合支护方式和土钉墙两种支护方式的基坑边坡稳定系数和边坡变形进行了分析。分析结果表明,在土钉和预应力锚杆的复合支护方式中,预应力锚杆的位置比较重要,通常锚杆的位置越靠近坡顶,则锚杆发挥的作用越大,效果越理想;土钉和预应力锚杆的复合支护方式与土钉支护相比,位移有所减小,但合理选择锚杆的数量和预应力值对最终效果有一定影响;基坑边坡的局部放坡有利于控制基坑坑口的最大水平位移。     

Stress analysis of a deep rigid axially-loaded cylindrical anchor in an elastic medium

The elastostatic problem of an infinite elastic medium containing an axially-loaded rigid cylindrical inclusion is investigated. This problem is of interest in connection with the geotechnical study of the time-independent, load-deflection characteristics of deep rigid anchors embedded in cohesive soil or rock media. The problem is formulated by means of Hankel integral transforms and reduced to a system of four coupled sing ular integral equations, where the unknown quantities are the normal and the shear stresses acting on the entire surface of the anchor. Numerical solutions are investigated for various Poisson's ratios and several values of the aspect ratio of radius to length of the cylindrical anchor.     

新型深水系泊基础研究进展

介绍了几种国际上广泛应用于深水锚泊的新型系泊基础（吸力锚、法向承力锚、吸力式贯入锚和动力贯入锚）,并结合国内外的最新研究进展,分别针对吸力锚安装过程中的海床阻力和内部土塞发展、服役阶段的承载力特性,法向承力锚安装时的拖曳轨迹和三维受力状态下的承载力,吸力式贯入锚的“keying”过程,动力贯入锚的最终安装深度和承载力,以及锚泊线与海床的接触问题等当前国际上研究的重点和热点内容进行了简要地评述,旨在通过分析当前新型深水锚在设计、施工以及承载机制等方面的不足,以探索深水系泊基础发展的新趋势     

Break out resistance of inclined anchors in sand

Inclined anchors are widely used in a variety of civil engineering problems to resist oblique loads, most relevant being in transmission towers and in rocks and dams for structural strengthening. In the present study, the breakout resistance of the inclined anchors in sand has been worked out using limit equilibrium approach. The breakout resistance has been calculated for different soil friction angles with varying relative depth ratio and anchor inclination. The break out factor increases continuously with the inclination of the anchor. A comparison of predicted values of break out resistance of anchors by the proposed analysis with the experimental values as reported by the other researchers showed reasonably good agreement.     

预应力锚索工作应力的检测方法——拉脱法的检测机制和试验研究

拉脱法可用于对预应力锚索的工作应力进行检测,它是通过对张拉荷载-锚索伸长量曲线中拐点的判断或对锚具与锚垫板脱开时刻的判断获得预应力锚索工作应力的一种微损检测方法。本文对拉脱法检测预应力锚索工作应力的机制进行力学分析,并对其误差进行理论分析,包括岩土体和锚具回弹、工作锚夹片缩进以及千斤顶滑移等对检测结果的影响。通过对拉脱法的机制分析和检测精度研究,验证了理论分析的正确性,并表明：可通过张拉荷载-位移曲线转折区段的上、下限平均值获得预应力锚索工作应力。当工作荷载为极限荷载的75%时,检测误差约为2%,满足工程检测要求。研究结果为拉脱法在锚索工作应力检测的工程应用推广提供了理论和试验基础。     

砂土中群锚锚周土体变形特性模型试验研究

群锚是常见的基础形式应用较为广泛,由于群锚之间的相互作用,群锚上拔过程中锚周土体的变形破坏机制比较复杂。采用非接触式数字图像相关方法（DIC）对群锚上拔过程开展模型试验研究,分析了群锚上拔过程中上拔力-位移关系曲线特征和锚周土体变形破坏机制。试验结果表明,密实度和埋深对群锚上拔力-位移关系曲线特征具有显著影响,在相同密实度、相同埋深率下浅埋与深埋群锚与同条件下的单锚具有相似的上拔力-位移关系曲线特征;群锚抗拔承载力具有明显的叠加效应,且砂土密实度、埋深和锚间距等参数因素对群锚效应具有显著影响。通过变形场的研究,得出了砂土密实度、埋深以及锚间距对群锚效应的影响规律。     

Calculation of the Internal Forces and Numerical Simulation of the Anchor Frame Beam Strengthening Expansive Soil Slope

Anchor frame beam is an excellent method for strengthening the expansive soil cut slope. It can effectively prevent cracks and fissures of expansive soil slope from expanding. There are plentiful engineering experiences that are important for the design of anchor frame beam. However its design theory is still not uniform and there is not any code to be followed. The assumption of Winkler foundation beam and semi-infinite elastic theory are used for calculating the internal forces of the frame beams. At the meantime FLAC^3D software is used for simulating anchor frame beam strengthening expansive soil cut slope. Main parameters, such as length, range interval and angle of the anchor, are researched so as to acquire how to influence slope deformation. The internal force distributing of different length beams is analyzed. The results indicate that it is absurd to design frame beams just by expansive force. It is suggested that the internal forces of pre-cast and cast-in-place beams be calculated with Winkler foundation beam and semi-infinite elastic theory. The numerical results show that ratio of slope has an impact on the slope deformation, and that the angle and the range interval of the two neighboring anchors influence the slope deformation. The pertinent proposal for designing frame beam is offered based on an actual project so as to optimize the design.     

均质黏土中圆形平板锚的抗拉承载力分析

基于网格重新生成和场变量映射的大变形有限元模型,探索了立即脱离和无脱离两种典型条件下均质黏土中圆形平板锚的抗拉承载力。与小变形有限元比较,大变形分析克服了锚周围土体初始网格畸变的不利影响,能够追踪平板锚整个拔出过程中抗拉力的变化。通过具体算例,考察平板锚表面摩擦性质和上覆土重等因素对立即脱离工况承载力的影响程度,指出有重土中深锚的承载力小于无重土中对应的承载力与上覆土重之和,其上限是无脱离条件下的承载力。计算结果表明：土重对无脱离条件下的承载力影响很小,进而给出了无脱离承载力系数与初始埋深的关系曲线。     

The modelling of anchors using the material point method

The ultimate capacity of anchors is determined using the material point method (MPM). MPM is a so‐called meshless method capable of modelling large displacements, deformations and contact between different bodies. A short introduction to MPM is given and the derivation of the discrete governing equations. The analysis of a vertically loaded anchor and one loaded at 45° is presented. The load–displacement curves are compared to that obtained from experiments and the effect of soil stiffness and anchor roughness is investigated. The results of the vertically loaded anchor are also compared to an analytical solution. The displacement of the soil surface above the anchor was measured and compared to the numerical predictions. Convergence with mesh refinement is demonstrated and the effect of mesh size and dilatancy angle on the shear band width and orientation is indicated. The results show that MPM can model anchor pull out successfully. No special interface elements are needed to model the anchor–soil interface and the predicted ultimate capacities were within 10% of the measured values. Copyright © 2005 John Wiley & Sons, Ltd.