Finite element simulations of seismic effects on retaining walls with liquefiable backfills

Finite element simulations of two centrifuge tests on the same cantilever retaining wall model holding liquefiable backfill were conducted using the Biot formulation‐based program DIANA–SWANDYNE II. To demonstrate the effects due to different pore fluids in seismic centrifuge experiments, water was used as the pore fluid in one experiment whereas a substitute pore fluid was used in the second experiment. The cantilever wall model parameters were determined by comparing simulations with measurements from free‐vibration tests performed on the model wall without backfill. The initial stress conditions for dynamic analysis for the soil backfill were obtained by simulating static loads on the retaining wall from the soil backfill. Level‐ground centrifuge model results were used to select the parameters of the Pastor–Zienkiewicz mark III constitutive model used in the dynamic simulations of the soil. The effects due to different pore fluids were captured well by the simulations. The magnitudes of excess pore pressures in the soil, lateral thrust and its line of action on the wall, and wall bending strains, deflections, and accelerations were predicted well. Predictions of settlements and accelerations in the backfill were less satisfactory. Relatively high levels of Rayleigh damping were needed to be used in the retaining wall simulations in order to obtain numerically stable results, which is one of the shortcomings of the model. The procedure may be used for engineering purpose dealing with seismic analysis of flexible retaining walls where lateral pressures, bending strains and deflections in the wall are typically of importance. Copyright © 2008 John Wiley & Sons, Ltd.     

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.     

砂土地基和粉质黏土地基基坑悬臂开挖离心模型试验

分别开展砂土和粉质黏土两种典型土质条件下基坑悬臂式开挖离心模型试验,详细叙述试验过程中所要解决的关键问题,并提出合理的解决方案。通过对比分析两组试验结果,得到以下结论：非饱和土地基制备中参数控制困难,分层夯实法有待进一步改进,而砂雨法制备的砂土地基参数可控性更好;两组试验的结果有差异,砂土地基试验所呈现的土压力、地基变形、支护弯矩的变化规律更好,因此,岩土离心试验可适当考虑以砂土代替非饱和土;对于采用悬臂式支护结构的基坑,开挖引起的地表沉降曲线在砂土中呈指数型,而在粉质黏土中呈直线型;开挖引起的粉质黏土地基土体位移范围较砂土地基更大;开挖引起的砂土中挡墙弯矩较粉质黏土更大,砂土和粉质黏土中最大弯矩位置都随开挖逐渐下移;在砂土试验中开挖引起主动区土压力各处均减小,而在粉质黏土试验中开挖引起土压力在挡墙底有增大趋势。该基坑工程离心模型试验过程及数据处理方法可为进一步试验提供参考。     

Performance of flexible retaining walls supporting dry cohesionless soils under cyclic loads

A finite element model is proposed for studying the seismic response of a flexible retaining wall/soil system. The model accounts for nonlinear hysteretic soil behaviour, and also for the increase in lateral stresses and settlement related to grain slip caused by cyclic loads. The response computed by the proposed method was compared with responses recorded at the Cambridge centrifuge facility, and found to be in reasonable agreement. The model was then used to identify the importance of factors such as flexibility of the wall and relative density of the backfill. The study reveals that the maximum bending moments given by current design procedures are nonconservative for stiffer walls. Deflections of flexible walls are of major concern. Flexible walls supporting a sand of medium density yield the greatest deflection.     

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。     

可液化场地微型桩地震响应特性研究

可液化场地微型桩的地震响应分析是确保工程安全和优化抗震设计的前提。应用动态离心机试验和三维有效应力数值分析方法,研究了微型单桩桩台的侧向变形和加速度、不同埋深桩身弯矩、可液化场地的加速度及超孔隙水压力等响应特征。首先开展了相对密实度为57%饱和土层、输入波是频率为1 Hz和峰值加速度为1.516 m/s2正弦波的微型桩40 g动态地震响应离心机试验,进而应用基于多重剪切机构塑性模型和液化前缘状态面概念的三维有效应力分析方法,反演了试验结果,并进行了对比分析,结果表明,数值模拟与离心机试验结果吻合,液化场地特性控制着建于其中微型桩的地震响应特征,微型桩桩台的水平变形和残余变形可达78、30 mm,桩身最大弯矩和最大残余弯矩呈现向桩身底部迁移特点,同时表明,基于动态土工离心机试验和数值分析相结合的研究方法,分析可液化场地微型桩地震响应特性是有效可行的,研究结论为可液化场地微型桩的抗震设计提供了可靠的依据和参考。     

Centrifuge shaking table tests on 4 × 4 pile groups in liquefiable ground

A series of centrifuge shaking table model tests are conducted on 4?×?4 pile groups in liquefiable ground in this study, achieving horizontal–vertical bidirectional shaking in centrifuge tests on piles for the first time. The dynamic distribution of forces on piles within the pile groups is analysed, showing the internal piles to be subjected to greater bending moment compared with external piles, the mechanism of which is discussed. The roles of superstructure–pile inertial interaction and soil–pile kinematic interaction in the seismic response of the piles within the pile groups are investigated through cross-correlation analysis between pile bending moment, soil displacement, and structure acceleration time histories and by comparing the test results on pile groups with and without superstructures. Soil–pile kinematic interaction is shown to have a dominant effect on the seismic response of pile groups in liquefiable ground. Comparison of the pile response in two tests with and without vertical input ground motion shows that the vertical ground motion does not significantly influence the pile bending moment in liquefiable ground, as the dynamic vertical total stress increment is mainly carried by the excess pore water pressure. The influence of previous liquefaction history during a sequence of seismic events is also analysed, suggesting that liquefaction history could in certain cases lead to an increase in liquefaction susceptibility of sand and also an increase in dynamic forces on the piles.     

Probabilistic analysis of responses of cantilever wall-supported excavations in sands considering vertical spatial variability

The influence of vertical spatial variability of sands on the excavation-induced lateral wall deflection and bending moment of excavations supported by cantilever retaining walls is investigated in this paper. Herein, the random finite element method (RFEM) is adopted to explicitly study the effect of one-dimensional spatial variability of internal friction angle of sands on the predicted wall and ground responses. The RFEM analysis consists of three components: (1) finite element method for analyzing lateral wall deflection and bending moment, (2) random field theory implemented with Monte Carlo simulation (MCS), and (3) statistical interpretation of MCS results through confidence intervals. This study reveals the importance of random field modeling in coping with the spatial variability of sands in the problem of supported excavations: (1) neglecting spatial variability of soil property will cause an overestimation of the variation in the predicted wall deflection and bending moment; (2) the estimated probability of failure based on a well-established serviceability limit state may be overestimated or underestimated depending on the chosen limiting lateral wall deflection. This study further investigates the effect of the number of MCS on the confidence intervals of the predicted statistics of the maximum lateral wall deflection and the maximum bending moment. The results also demonstrate that the confidence interval analysis of the predicted statistics of the maximum lateral wall deflection and the maximum bending moment provides a rational tool for interpreting the statistical data from RFEM.     

悬臂抗滑桩加固边坡地震动力响应模型试验研究

为研究悬臂抗滑桩加固边坡的地震响应和抗滑桩桩身弯矩分布规律,利用北京工业大学结构实验室的大型振动台进行悬臂抗滑桩加固边坡模型的振动试验。在试验过程中,输入汶川地震重华镇波,记录边坡不同位置加速度的时程变化,并作对比分析,采集抗滑桩桩身的应变,用于分析桩身弯矩分布。结果表明,地震过程中边坡内部加速度自下而上逐渐放大,边坡顶部放大效果达到最大;悬臂抗滑桩的加固效应和桩间土体成拱作用使附近土体的动力响应受到限制;抗滑桩的嵌固端与悬臂部分分界面随着地震波的输入应变急剧增大,而悬臂部分随着高度增加应变减小,反映了悬臂抗滑桩弯矩的“凸”形分布规律。     

挡土结构物随机地震响应分析及动力可靠度研究

本文提供了一种简单的确定性数值方法,来分析在平稳随机地震荷载作用下的结构随机地震响应及动力可靠度。该方法基于有限元动力分析软件,以单位加速度脉冲函数作为地震荷载的输入,当计算出结构的脉冲响应函数后,再运用傅立叶变换得到随机激励和结构响应之间的传递函数,由此来计算结构的均方根响应和峰值响应。基于此方法,分析了挡土结构物在平稳随机地震荷载作用下的位移、弯矩、基底水平合力、基底竖向合力以及沿墙高的土压力极值的随机地震响应及动力可靠度。从分析结果可以看出:用Kanai谱模型的计算值比欧进萍谱模型的计算值更趋保守,而把响应过程当作马尔可夫过程似比泊松过程更精确。     

两侧铰接地下连续墙的试验研究及数值分析

地下连续墙用于平面不规则形状基坑支护时,对任意直线段墙体,其受力与变形实际上是三维的,而不是一般经验简化方法假设的二维变形与受力,并应考虑相邻墙体之间的相互作用。采用考虑墙土相互影响的地下连续墙与土共同作用的三维有限元方法,研究了墙端铰接和墙端自由两种边界条件对等刚度及变刚度墙体内力与变形的影响,计算结果表明,建议的理论计算方法与模型试验结果吻合较好。通过与模型试验实测值的对比,指出了以往采用平面有限元进行分析的方法的不足,并重点分析了墙端铰接对墙体横向弯矩的影响,研究结果表明,三维变形产生的横向弯矩是可观的,必须加以考虑。     

面板对加筋土挡墙影响的离心模型试验研究

加筋土挡墙因其特有的景观性能、协调变形性能而日益受到设计者青睐。面板作为加筋土挡墙的组成部分,对墙体的承载能力影响显著。针对现有设计规范无法考虑面板形式对结构自身力学变形特性的影响,设计并开展了整体式与分块式面板的离心模型试验。数据测试分析显示：整体式面板加载期的位移小于分块式面板位移;由于分块式面板位移较大,所以其水平土压力小于整体式面板土压力;加筋土挡墙面板底部存在应力集中现象;分块式面板筋-土界面的摩擦系数发挥值大于整体式面板数值,但两者均小于设计规范建议值;由于模型筋材长度较长并且连接件的存在,导致原型设计较为保守。     

饱和砂土地基上抗滑桩加固边坡的动力离心模型试验研究

动力离心模型试验是研究可液化地基上抗滑桩加固边坡地震动力响应的有效手段之一。使用铜质抗滑模型桩,采用黏度为50 cs的甲基硅油做为孔隙流体,通过抽真空法制作了饱和地基上的加固边坡模型。进行动力离心模型试验,研究了地震作用下饱和砂土地基中动孔压、边坡变形与土体加速度和抗滑桩弯矩的响应特征。试验结果表明,地震作用导致的动力附加弯矩相当于震前静力弯矩的87 %,说明地震作用与地基液化导致的附加弯矩不容忽视,该结论可为边坡进行抗震设计与稳定分析提供有意义的参考。     

悬臂抗滑桩静、动力学性能试验的全过程

基于悬臂抗滑桩治理堆积型滑坡的静、动力离心模型试验,利用土压力传感器、应变片以及加速度传感器采集到的试验数据,研究了静、动力条件下抗滑桩的受力特性,分析了被治理滑坡的地震响应特征。结果表明：静、动力条件下桩后土压力以及桩身弯矩的分布规律均不同;桩后静土压力大于地震动引起的动土压力,但桩身静弯矩远小于地震动引起的动弯矩;桩后动土压力和动弯矩随峰值地震动的增大而增大;地震作用时土压力和桩身弯矩最大值的作用点低于静力的;滑体加速度响应存在浅表放大效应和高程放大效应,坡肩附近的波型转化现象显著,抗震设计时应予以重视。     

Numerical simulation of the seismic response of tunnels in sand with an elastoplastic model

The number of larger tunnels in seismic regions has grown significantly over the last decades. The behaviour of tunnels under seismic actions may be assessed using simplified or more complex approaches. Plane–strain centrifuge tests with dynamic loading on a model tunnel are used as experimental benchmark on the seismic behaviour of tunnels, with the ultimate aim of calibrating numerical and analytical design methods. Two models with dry uniform fine sand were prepared at two different densities, in which an aluminium-alloy tube was installed. This paper describes the numerical simulation of these tests with an elastoplastic model. The tunnel response recorded in the centrifuge tests is compared with the numerical prediction, showing the evolution of accelerations and internal forces along the tunnel lining during the model earthquakes. In general, the numerical simulation diverges from the recorded at the centrifuge tests. The numerical simulation largely amplifies the motion at the fundamental frequency of the soil deposit, while this effect is not significant in the centrifuge tests. It is shown that the peak increments in lining forces during dynamic loading measured in the centrifuge test disagree with the values from the numerical simulation and from the Wang’s elastic solution. The divergence observed between simulation and centrifuge tests may result mainly from the real initial stiffness of the sand in the centrifuge tests which are lower than those measured in laboratory tests and to the insufficient knowledge of all relevant stress paths to be imposed to soil for the calibration of model parameters.     

Computation of sliding displacements of seawalls under earthquake conditions

To understand the serviceability aspects of seawalls, it is essential to study the permanent displacements of seawalls that occur during the earthquakes. Studies in the existing literature have concentrated on displacements of retaining walls with dry backfills; to the authors’ observation there is no specific analytical investigation devoted to the earthquake-induced displacements of retaining walls with submerged backfills. This paper focuses on sliding displacements of gravity type seawall retaining a submerged backfill under active earth pressure condition during the earthquakes. The threshold seismic acceleration coefficients required for initiation of sliding and the amount of sliding displacement due to seismic loading are calculated by adopting Newmark’s sliding block method. One of the prime features of the study is the estimation of seismic inertia forces in the submerged soil and wall applying the modified pseudo-dynamic method. The comparison of the results obtained using the proposed analytical formulation with the existing literature found to be in good agreement. A comprehensive parametric study has been conducted to understand the effects of different parameters such as seismic horizontal and vertical acceleration coefficients, soil and wall friction angles, width of the wall, wall inclination and excess pore water pressure ratio.

     

整体刚性面板加筋土挡墙基频影响因素计算分析

作为一种柔性支挡结构,加筋土挡墙相较于传统重力式挡墙具有优越的抗震性能。由于结构在地震等动荷载作用下的动力响应大小与其自身的固有频率大小有关,因此,固有频率的研究显得尤为重要,特别是其最小值基频。以整体刚性面板加筋土挡墙为研究对象,分别用弹性地基梁模型、线性弹簧模型表示面板、填土及筋材,提出了一种加筋土挡墙固有频率计算方法。计算求得的基频值与既有瑞利能量法计算值具有较好的一致性。参数分析表明：填土中铺设筋材可以增大墙体的基频;对于加筋土挡墙,筋材长度以及筋材-填土界面摩擦系数对墙体基频影响较小;随着筋材竖向间距的增大,加筋密度对加筋土挡墙基频的影响逐渐减小;墙体基频随着面板宽度的增大先减小后增大;随着面板模量的减小,墙体基频趋于恒值。     

双排挤扩支护桩试验研究

介绍了一种新型基坑支护桩--双排挤扩桩,探讨了双排挤扩支护桩的挤密效应、受力机制、工作特性和计算方法。土工模型试验和数值模拟试验表明,双排挤扩支护桩受力体系近似于一种特殊类型的多层框架结构。与双排悬臂支护直桩相比较,双排挤扩支护桩的空间刚度大幅度增加,结构受力合理,桩顶位移减小,桩体弯矩正负交替分布,弯矩最大值减小,嵌固深度减小,支护高度增加,桩体材料得到全面利用。双排挤扩支护桩有着明显的技术优势,可降低风险,为深基坑工程提供了一种更加合理的新型支护手段。     

强震区桩−土−断层耦合作用下桩基动力响应

为研究桩-土-断层耦合作用下桩基动力响应特性,利用振动台试验选取0.35g地震动峰值加速度时4种类型地震波,研究断层上下盘桩基加速度响应、桩顶相对位移、弯矩及桩基损伤情况。试验表明：断层上盘桩基各项参数明显大于断层下盘,呈现出上盘效应;桩顶峰值加速度大于桩底峰值加速度,上部土层对输入地震波具有滤波作用;桩顶加速度响应相较于桩底具有滞后性;桩顶峰值加速度与桩顶加速度放大系数α在输入El-Centro波时最大;上、下盘α 差值在输入Kobe波时最大;弯矩和桩顶相对位移峰值在输入Kobe波时最大;弯矩在土层分界面处较大,输入不同地震波时弯矩峰值均未超过桩身抗弯能力;提出了强震区近断层桩基可根据验算内容选取合理地震波进行验算的抗震设计建议。     

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.