考虑填土强度的加筋土挡墙动位移计算

加筋土挡墙在地震荷载作用下的位移大小对结构的抗震性能影响显著。为了计算地震荷载作用下加筋土挡墙的位移,Newmark滑块法通常被用于设计中。由于传统的Newmark滑块法在计算中忽略了填土强度的变化,因而采用单一峰值或残余强度的计算将可能导致计算得到的位移小于或大于实际位移值。在二楔块破坏模式的假定条件下,根据楔块的力学平衡条件,建立了加筋土挡墙滑动安全系数计算式,同时通过引入位移阈值考虑了填土的应变软化特点。通过将计算结果与模型试验结果对比,得到以下结论：相较于单楔块法,二楔块法更能真实地反映出墙体的实际破坏模式,且计算得到的屈服加速度系数更接近试验值;相较于采用单一峰值或残余强度计算的位移,考虑填土应变软化的计算解更接近于模型测试值。     

Analytical solutions for the earth pressure of narrow cohesive backfill with retaining walls rotating about the top

Currently, knowledge of the failure mechanisms of narrow backfills with retaining walls rotating about the top (RT mode) is still lacking which leads to inaccurate estimations of the earth pressure. Numerical simulations using finite element limit analysis find that under the effects of backfill geometries, interface strengths, and soil properties, the upper soil layer supported by soil arching retains its integrity and the lower soil layer is sheared by multiple curved sliding surfaces in the limit state. Based on the failure mechanisms of narrow backfills, a calculation model is established which considers the soil arching effect, curved sliding surface, and cohesive soils. Analytical solutions for the earth pressure of narrow cohesive backfills with retaining walls rotating about the top are derived by using the limit equilibrium horizontal slice method. Compared with previous studies, the present method predicts the earth pressure distribution with higher accuracy. Several extensive parametric studies have also been conducted. Thus, decreasing the aspect ratio of backfills, increasing the inclined angle of natural slopes, interface strengths, and soil cohesion are beneficial for maintaining backfill integrity and reducing earth pressure against retaining walls.

     

Seismic Retrofit of Gravity Retaining Walls for Residential Fills Using Ground Anchors

Failure of several gravity retaining walls in residential areas built on reclaimed land, during the October 23, 2004 Chuetsu earthquake in Niigata Prefecture, Japan, determined the authorities to consider the seismic retrofit of the walls in order to mitigate future similar disasters in the urban environment. This study addresses the effectiveness of ground anchors in improving the seismic performance of such retaining structures through a sliding block analysis of the seismic response of an anchored gravity retaining wall supporting a dry homogeneous fill slope subject to horizontal ground shaking. Sliding failure along the base of the wall and translational failure along a planar slip surface of the active wedge within the fill material behind the wall were considered in the formulation, whereas the anchor load was taken as a line load acting on the face of the gravity retaining wall. The effects of magnitude and orientation of anchor load on the yield acceleration of the wall-backfill system and seismically induced wall displacements were examined. It was found that for the same anchor orientation, the yield acceleration increases in a quasi-linear manner with increasing the anchor load, whereas an anchor load of a given magnitude acting at various orientations produces essentially identical yield accelerations. On the other hand, the computed earthquake-induced permanent displacements of the anchored gravity retaining wall decrease exponentially with increasing magnitude of anchor load. Additionally, the influence of backfill strength properties (e.g., internal friction angle) on the seismic wall displacement appears to diminish considerably for the anchored gravity retaining wall. A dynamic displacement analysis conducted for the anchored gravity retaining wall subjected to various seismic waveforms scaled to the same peak earthquake acceleration revealed a good correlation between the calculated permanent wall displacements and the Arias intensity parameter characterizing the input accelerogram.     

有地下水时刚性挡土墙的动主动土压力

基于Mononobe-Okabe假定,在合理考虑土体孔隙中受限水含量的基础上,利用水平层分析法推导了填土中有地下水时刚性挡土墙平移模式下的动主动土压力强度的一阶微分方程,并求得非线性分布解;探讨了地下水位、受限水含量、填土的内摩擦角、墙背的摩擦角和地震系数等参数对土压力强度分布、合力作用点高度以及倾覆力矩的影响。所提出的方法可考虑填土的孔隙率、渗透性和地震动周期的影响。     

Seismic response of flexible cantilever retaining walls with dry backfill

Failure of retaining walls during earthquakes has occurred many times in the past. Although significant progress has been made in analysing the seismic response of rigid gravity type retaining walls, considerable difficulties still exist in the seismic-resistant design of the flexible cantilever type of retaining walls because of the complex nature of the dynamic soil–structure interaction. In this paper the seismic response of cantilever retaining walls with dry backfill is simulated using centrifuge modelling and numerical modelling. It is found that bending moments on the wall increased significantly during an earthquake. After the end of base shaking, the residual moment on the wall was significantly higher than the moment under static loading. The numerical simulation is able to model quite accurately the main characteristics of acceleration, bending moment, and displacement recorded in the centrifuge test.     

L型挡土墙滑裂面确定方法与地震稳定性分析

提出了L型挡土墙两种破坏模式,即长踵板式和短踵板式,且破坏模式受几何参数和物理力学参数影响。研究了两种破坏模式下L型挡土墙滑裂面确定方法和地震稳定性问题,界定了两种破坏模式的临界条件。考虑第二、第三滑裂面产生条件,应用极限分析运动学原理,建立地震荷载作用下L型挡土墙临界状态方程,推导出地震加速度系数表达式。根据极值原理,给出最优解,从而计算得到临界屈服加速度系数及其对应的滑裂面倾角。通过算例分析可知：临界屈服加速度系数小于M-O公式法,长踵板式L型挡土墙滑裂面倾角与坦墙判别公式结果相同,且滑裂面之间的夹角等于90o-φ,即与滑移线场的结论相同。短踵板式L型挡土墙滑裂面夹角近似等于90o-φ。     

The effect of backfill cohesion on seismic response of cantilever retaining walls using fully dynamic analysis

The analyses of retaining walls in California showed many backfills are coarse material with some cohesion. In this investigation, seismic response of cantilever retaining walls, backfilled with dirty sandy materials with up to 30 kPa cohesion, is evaluated using fully dynamic analysis. The numerical simulation procedure is first validated using reported centrifuge test results. The validated methodology is then used to investigate the effects of three earthquake ground motions including Kobe, Loma Prieta, and Chi-Chi on seismic response of retaining walls. In addition, the input peak ground acceleration values are varied to consider a wide range of earthquake acceleration intensity.     

Pseudo-dynamic methods for seismic passive earth pressure behind a cantilever retaining wall with inclined backfill

The designing of retaining walls requires the complete knowledge of earth pressure distribution. Under earthquake conditions the design needs special attention to reduce the devastating effect, but under seismic conditions, the available literature mostly uses the pseudo-static analytical solution as an approximate to the real dynamic nature of the complex problem. This paper shows a detailed study on the seismic passive earth thrust behind a cantilever retaining wall with inclined backfill surface by pseudo-dynamic analysis. A planar failure surface has been considered. The effect of variation of parameters such as soil friction angle, wall friction angle and back fill inclination have been explored. A complete analysis shows that the time dependent non-linear behaviour of the pressure distribution obtained in the present method results in more realistic design values of earth pressures under earthquake conditions. Results are provided in tabular and graphical non-dimensional form and compared thoroughly with the existing values in the literature.     

Seismic Passive Earth Pressure Behind Non-vertical Retaining Wall Using Pseudo-dynamic Analysis

This paper shows a detailed study on the seismic passive earth pressure behind a non-vertical cantilever retaining wall using pseudo-dynamic analysis. A planar failure surface has been considered behind the retaining wall. The effects of soil friction angle, wall inclination, wall friction angle, horizontal and vertical earthquake acceleration on the passive earth pressure have been explored. Unlike the Mononobe–Okabe method, which incorporates pseudo-static analysis, the present analysis predicts a nonlinear variation of passive earth pressure along the wall. The results have been thoroughly compared with the existing values in the literature.     

Experimental study on seismic performances of geogrid striped-reinforced waste tire-faced retaining wallsEI北大核心

废旧轮胎胎面挡土墙是一种有效利用废旧轮胎的理想途径,但直立的模块式废旧轮胎胎面挡土墙不能承受高强度的地震作用,因而提出格栅条带式加筋的方法提高其抗震性能。根据土-结构动力相似体系,设计格栅条带式加筋废旧轮胎胎面挡土墙振动台试验模型,考虑地震强度、地震波、格栅加筋长度、格栅加筋间距以及墙面坡度的影响,分析胎面墙体与回填料加速度、墙体侧向位移、墙顶表面回填料沉降以及墙背动土压力等地震响应特征,并与无加筋的废旧轮胎胎面挡土墙的振动台模型试验进行对比。研究结果表明:格栅条带式加筋胎面挡土墙的方式显著改善了无加筋状态的胎面挡土墙的地震响应特征,提高了胎面挡土墙的抗震性能,格栅条带式加筋直立式废旧轮胎胎面挡土墙可以作为理想的墙体进行工程推广应用。     

Computations of Seismic Passive Resistance and Uplift Capacity of Horizontal Strip Anchors in Sand

In this paper, the limit equilibrium method is used to compute seismic passive earth pressure coefficients and the vertical uplift capacity of horizontal strip anchors in presence of both horizontal and vertical pseudo-static earthquake forces. By considering a simple planar failure surface, distribution of soil reaction is obtained through the use of Kötter’s equation. Presence of pseudo-static seismic forces induces a considerable reduction in the seismic passive earth pressure coefficients. The reduction in seismic passive earth pressure coefficients increases with increase in magnitude of the earthquake accelerations in both horizontal and vertical directions and with increase in wall friction angle. The vertical uplift capacity of horizontal strip anchor is obtained for various values of soil friction angle, embedment ratio and seismic acceleration coefficients in both horizontal and vertical directions by using rigorous computational optimization. Proper justification for selected value of wall friction angle is established. Results are presented in the form of non-dimensional breakout factor for anchor. A significant reduction in breakout factor is observed in presence of both the seismic acceleration coefficients whereas breakout factor increases with increase in soil friction angle and embedment ratio even under the seismic condition. Angles of failure planes keep changing with change in seismic acceleration coefficients and failure zone shifts towards the critical direction of seismic acceleration coefficients. Present results are compared and found in good agreement with some specific available results in literature.     

不同面板形式加筋土挡墙结构特性现场试验研究

以成昆铁路复线加筋土挡墙为工程依托进行现场原位试验,对比分析工后9个月内新型整体式面板、内嵌返包结构的模块式面板和模块式面板3类加筋土挡墙的结构特性。在此期间发生两次地震,监测了震后挡墙变形及土压力变化。结果表明:整体式面板加筋土挡墙整体稳定性最好,具有良好的抗震性能,格栅应变变化率、墙体压缩量和墙面水平位移均最小。整体式面板和模块式面板加筋土挡墙墙背土压力沿墙高近似呈M型,内嵌返包结构的模块式面板加筋土挡墙墙背土压力沿墙高近似呈倒S型。整体式面板加筋土挡墙的侧向土压力系数沿墙高变化较小,小于美国联邦公路局(FHWA)加筋设计指南计算值;内嵌返包结构的模块式面板加筋土挡墙侧向土压力系数沿墙高呈增大的趋势,挡墙中、下部小于FHWA计算值,上部接近或大于静止土压力系数;模块式面板加筋土挡墙侧向土压力系数大部分处在FHWA计算值与静止土压力系数之间。3类挡墙土工格栅应变沿墙高均呈非线性变化。挡墙墙体压缩量随着时间的增加逐渐增加,在工后前50 d时间内增加速率较快,随后增加速率减缓,进入雨季之后增加速率再次增大。发生地震后,3类加筋土挡墙均出现不同程度的墙背土压力减小、格栅应变增大、墙体压缩量增加和墙面板外移的现象。     

放坡状态有限土体刚性挡土墙主动土压力研究

针对现有有限土体刚性挡土墙主动土压力研究大都集中于临近建筑物墙体或地下室外墙的狭窄土体,相邻基坑、路堤与切坡挡土墙形成放坡状态有限土体研究甚少,本文考虑填土黏聚力及墙土间黏结力、墙土间摩擦作用、墙背倾角及填土顶面竖向荷载等的影响,利用刚体极限平衡理论进行研究。根据相邻基坑与边坡挡土墙放坡状有限土体的工程特性,分析挡土墙平动位移模式下平面滑动破裂面的形成特征,建立放坡状态有限土体主动土压力计算模型,并利用数值计算方法可以求解。通过对放坡状有限土体主动土压力进行算例分析与参数分析,表明极限破裂角与宽高比、黏聚力、墙背倾角及墙土间外摩擦角为负相关,不同黏聚力下随着宽高比增大,极限破裂角趋近于考虑黏聚力作用库伦方法得到的极限破裂角值,不同黏聚力下有限土体宽度临界值亦是变化的;主动土压力随黏聚力、墙背倾角及墙土外摩擦角增大而减小,随着宽高比增大而增大并逐步趋近于库伦方法计算的土压力值。最后,通过模型试验验证表明按本文方法计算的极限破裂角与实测破裂角吻合,PIV系统测试得到的临界宽高比与库伦方法的结果一致。     

基于灰色关联与模糊数学的重力式挡土墙震害评估

龙门山地区强震荷载导致大量已建边坡支挡结构严重受损,如何对震区受损挡土墙进行震害评估成为亟待解决的技术难点。本文首先通过对研究区挡土墙的震害分析,总结出其主要破坏模式包括滑移破坏、沉降破坏、倾覆破坏、墙身破坏以及越顶破坏5类。然后根据全面性、重要性以及科学性原则对影响震害评价的因子进行定性分析和分类,并结合挡墙的破坏模式,综合分析得到挡土墙安全评估的敏感性因子和一般因子。将震害范围60%作为挡墙评价的敏感性因子,而一般因子分为两级共10个指标,包括:滑移距离,沉降深度,倾斜角度,裂缝数量,裂缝长度比,开裂深度比,开裂宽度,错动距离,垮塌范围,覆盖范围。最后,采用灰色关联分析与模糊数学理论相结合的方法构建挡土墙震害评估体系,从而变事后处理为事先预防,为灾后恢复重建服务。     

绕顶转动模式下三维被动土压力的数值研究

已有的刚性挡土墙上三维被动土压力的研究主要基于挡土墙平移模式(T位移模式)下开展的，而对挡土墙绕顶转动模式(RT位移模式)下三维被动土压力的研究尚不充分。因此，该文采用数值方法系统地研究了RT位移模式下三维被动土压力及三维空间滑裂面性状。针对无黏性土体，得到了挡土墙宽度与深度比值、土体摩擦角大小和墙土接触面摩擦角比值对三维被动土压力系数及墙后土体滑裂面的影响，并与T位移模式下的三维被动土压力系数和墙后土体的空间滑裂面形态进行了定量的比较。研究结果表明:RT位移模式下的三维被动土压力系数和空间滑裂面形态均受土体内摩擦角及墙土接触面摩擦角比值的影响，且两者之间存在相互联系。RT位移模式下的三维被动土压力系数和空间滑裂面形态与T位移模式下有显著的区别；RT位移模式下的三维被动土压力系数及空间滑裂面相比于T位移模式下较小。研究成果可为RT位移模式下三维被动土压力的进一步研究和相关工程设计提供参考。     

Comparison of the pseudo-static and dynamic behaviour of gravity retaining walls

Summary Pseudo-static and dynamic non-linear finite element analyses have been performed to assess the dynamic behaviour of gravity retaining walls subjected to horizontal earthquake loading. In the pseudo-static analysis, the peak ground acceleration is converted into a pseudo-static inertia force and applied as a horizontal incremental gravity load. In the dynamic analysis, an actual measured earthquake acceleration time history has been scaled to provide peak ground acceleration values of 0.1 g and 0.3 g. Good agreement is obtained between the pseudo-static analysis and analytical methods for the calculation of the active coefficient of earth pressure. However, the results from the dynamic analysis require careful interpretation. In the pseudo-static analysis, the increase in the point of application of the resultant active force with the horizontal earthquake coefficient k _h from the one-third point to the mid-height of the wall is clearly observed. In the dynamic analysis, the variation in the point of application is shown to be a function of the type of wall deformation. Both finite element analyses indicate the importance of determining the magnitude of the predicted displacements when assessing the behaviour of the wall to seismic loading.     

Seismic Passive Earth Pressure Behind Non Vertical Wall with Composite Failure Mechanism: Pseudo-Dynamic Approach

This note shows a study on the seismic passive earth pressure behind a non-vertical cantilever retaining wall using pseudo-dynamic approach. A composite failure surface comprising of an arc of the logarithmic spiral near the wall and a straight line in the planar shear zone near the ground, has been considered behind the retaining wall. The effects of soil friction angle, wall inclination, wall friction angle, amplification of vibration, horizontal and vertical earthquake acceleration on the passive earth pressure have been explored in this study. The results available in the literature for passive pressure, on the basis of pseudo-static analysis are found to predict the passive resistance on the conservative side and the assumption of a planar failure surface is found to overestimate the passive resistance for higher wall friction. An attempt has been made in the present study to overcome both the limitations simultaneously. The present results are compared with the existing values in the literature and found a reasonable match among the values.     

Advanced numerical modeling of seismic response of a propped r.c. diaphragm wall

The paper presents some results from a number of dynamic FE simulations carried out to investigate the seismic response of a propped flexible retaining wall in a dry coarse-grained soil, considering two bedrock acceleration time histories as seismic input. Two different soil plasticity models have been considered in this study: an anisotropic hardening, critical-state model for cyclic/dynamic loading of sands and the classical Mohr–Coulomb elastic-perfectly plastic model with nonassociative flow rule. The results obtained allow to highlight the main features of the seismic performance of such type of flexible retaining structures and to evaluate the effects of the constitutive assumptions made on soil behavior on the predicted wall displacements and structural loads.     

Pseudo-dynamic evaluation of passive response on the back of a retaining wall supporting c-Φ backfill

The study presents a rational analytical approach to obtain the seismic passive response of an inclined retaining wall backfilled with horizontal c-Φ soil. Pseudo-dynamic analysis is carried out to obtain the seismic passive response. Here in this analysis, the critical wedge angle is a single one irrespective of weight, surcharge and cohesion and this fact satisfies the field situation in a more realistic manner. A planer failure surface is considered in the analysis. The effect of soil and wall friction angle, wall inclination, horizontal and vertical earthquake acceleration on the passive resistance and the variation of passive earth pressure along the height of the wall have been explored. A comparison to pseudo-static and other available methods have been made to highlight the non-linearity of seismic passive earth pressure distribution.