Reliability Based Earthquake Resistant Design for Internal Stability of Reinforced Soil Structures

This paper presents a method to evaluate reliability for internal stability of reinforced soil structures using reliability based design optimization. Using limit equilibrium method and assuming the failure surface to be logarithmic spiral, analysis is conducted to maintain internal stability against both tensile and pullout failure of the reinforcements. Properties of backfill soil and strength of the geosynthetic reinforcement are considered as random variables. For the seismic conditions, reliability indices of all the geosynthetic layers in relation to tension and pullout failure modes are determined for different magnitudes of seismic accelerations both in the horizontal and vertical directions, surcharge load and design strength of the reinforcement. The efforts have been made to obtain the number of layers, pullout length and total length of the reinforcement at each level for the desired target reliability index values against tension and pullout modes of failure. The influence of horizontal and vertical earthquake acceleration, surcharge load, design strength of the reinforcement, coefficient of variation of soil friction angle and design strength of the reinforcement on number of layers, pullout length and total length of the reinforcement needed for the stability at each level is discussed.     

Pseudo Static Seismic Stability Analysis of Reinforced Soil Structures

The paper pertains to the pseudo-static seismic stability analysis of reinforced soil structures. Using limit equilibrium method and assuming the failure surface to be logarithmic spiral, analysis has been conducted to maintain internal stability against both tensile and pullout failure of the reinforcements. The external stability of the reinforced earth wall is also assessed in terms of its sliding, overturning, eccentricity and bearing modes of failure. The influence of the intensity of the surcharge load placed on the backfill is also considered in the analysis. The obtained results are validated by comparing the same with those reported in literature. Studies have also been made regarding the influence of backfill soil friction angle, horizontal and vertical seismic accelerations, surcharge load, the tensile strength of reinforcement, pullout length of the reinforcement and number of reinforcement layers on the seismic stability against various failure modes as mentioned earlier.     

加筋土挡墙地震稳定性的拟动力分析

为研究不同筋材条件下加筋土挡墙地震稳定性,采用两种简化破裂面形式;由于拟静力法的局限和加筋土挡墙的成层特性,对水平和竖向地震力同时作用下的加筋土挡墙,运用拟动力法和水平条分法推导出其筋材拉力总和与临界破裂角的计算公式。算例分析结果表明,筋材拉力总和随着地震加速系数、回填土重度或者滑动体上部超载的增大而增大;随着土体内摩擦角或者填土黏聚力的增大而减小;当条件相同时,可延展性筋材所承受的筋材拉力总和大于不可延展性筋材所承受的。与拟静力法和规范中的方法比较,基于拟动力法的加筋土挡墙的设计也更加经济。     

重力式挡土墙地震旋转位移下的屈服加速度

旋转位移假设下,将挡土墙和填土看成一个系统,建立挡土墙在地震作用下的旋转破坏模式,应用极限分析上限法推导了系统外力功率和耗散功率,得到了水平屈服加速度系数的理论计算公式,并采用MATLAB语言进行数值求解,获得了破裂角和水平屈服加速度系数的数值解。计算公式考虑了填土与墙体接触面上的黏聚力、墙和填土的摩擦角、竖向地震加速度系数、填土黏聚力、填土内摩擦角等对水平屈服加速度系数的影响。研究结果表明：填土与墙体接触面上的黏聚力、墙和填土的摩擦角和竖向地震作用对水平屈服加速度系数的影响显著,在实际工程设计中需合理取值以达到安全经济的目的。     

三维加筋边坡地震稳定性上限分析

基于极限分析上限定理,考虑均匀加筋和三角形加筋两种加筋模式,采用拟静力分析方法推导了一定边坡高度条件下的三维加筋边坡临界加筋强度的计算公式。通过与已有文献结果的对比,验证了所提方法的正确性,并讨论了边坡宽高比、水平和竖向地震力系数对三维边坡稳定性的影响。结果表明:地震力作用下边坡临界加筋强度随边坡宽高比的增大而增加,但其变化速率逐渐减小,当边坡宽高比大于10时,三维边坡加筋强度与二维情况相近;随着水平地震作用的增大,三维边坡临界加筋强度呈非线性增大;随着竖向地震作用的增大,临界加筋强度大致呈线性增加,且随着坡角的增大,竖向地震作用对临界加筋强度的影响更加显著;两种加筋模式下的边坡临界加筋强度值变化规律一致,且三角形加筋模式所需的加筋强度较小,效果较优。最后,针对实际工程提出了一些工程建议。     

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.     

有限填土加筋土挡墙的稳定性及破坏模式分析

有限填土加筋土挡墙是短加筋土挡墙的一种特殊情况,其工作性状还没有被清晰地认识。文章在离心模型试验成果的基础上,采用FLAC软件建立有限填土加筋土挡墙的二维数值模型,讨论了加筋间距、加筋长度以及墙面与竖直平面的夹角对挡墙稳定性和破坏模式的影响。结果表明:（1）墙后有限填土情况下主动土压力约为库伦主动土压力的1/2~1/3;（2）在稳定地基工况下,挡墙均为复合破坏模式,滑动面呈折线型,在挡墙中下部,滑动面同时穿过了加筋区和填土区,从墙趾处滑出;在挡墙上部,滑动面基本沿着填土与稳定墙面的接触面向上发展;（3）潜在滑动面是自下向上逐渐形成的,体现为下部剪切、上部拉张的特征;（4）在墙后有限填土情况下,加筋长度减小到0.4H时,挡墙仍能保持稳定,加筋间距在控制挡墙稳定性方面具有重要作用。     

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.     

软土地基上加筋路堤稳定性分析——改进瑞典条分法

在软土地基加筋路堤稳定性分析方法中，传统的瑞典条分法由于对土工合成材料的加筋作用存在认识上的误区，导致最终的计算结果过于保守。对软土地基加筋路堤的加固机理和破坏模式进行深入分析发现，传统分析方法对加筋俸的加筋作用估计不足，据此，在充分考虑加筋体的加筋作用下，基于瑞典条分法提出了新的稳定性分析计算公式，通过实例验证该法比较符合工程实际。     

Seismic uplift capacity of strip anchors in soil

Uplift capacity of horizontal strip anchors in soil embedded under an inclined ground surface has been obtained under seismic conditions. Limit equilibrium approach with logspiral failure surface together with pseudo-static seismic forces has been adopted. The results have been presented in the form of seismic uplift capacity factors as functions of ground inclination, embedment ratio, angle of internal friction of the soil and seismic acceleration coefficients. The uplift capacity factors have been worked out separately for cohesion, surcharge and density components. Effect of the vertical seismic acceleration coefficient has been found to always reduce the uplift capacity whereas the effect of horizontal seismic acceleration coefficient has been found to reduce the uplift capacity in most of the cases. The obtained results of seismic uplift capacity factors are found to be the minimum when compared with the results available in literature on the basis of planar failure surface. This revised version was published online in July 2006 with corrections to the Cover Date.     

地震作用下返包式加筋土挡墙数值模拟

返包式加筋土挡墙是一种柔性面板挡墙,因其良好的地基适应性及地震安全性广泛应用于交通、市政和水利等诸多领域中。本文使用FLAC^3D数值模拟程序对返包式加筋土挡墙墙面坡度、土工袋填料及筋材强度进行了抗震性能研究。研究结果表明：当墙面坡度<1∶0.30时,墙后侧向土压力分布均匀且数值较小,近似于一条竖向直线;当墙面坡度≥1∶0.30时,墙后侧向土压力分布规律一致且符合朗肯土压力理论。因此,当墙面坡度<1∶0.30时,加筋土结构应按加筋土边坡进行设计;当墙面坡度≥1∶0.30时,加筋土结构应按加筋土挡墙进行设计。土工袋填料种类对返包式加筋土挡墙地震动力响应几乎没有影响,在抗震设计时可不考虑其对挡墙的影响。筋材强度越高,返包式加筋土挡墙抗震性能越好,但筋材强度与挡墙的抗震性能不成正比例,由于加筋土结构的"加筋作用饱和"现象,大幅度提升筋材强度并不会使挡墙的抗震性能得到大幅度提升;因此,工程中在保证筋材强度达标的前提下需注意经济性。     

部分排水条件下加筋路堤性状分析

使用椭圆帽土质模型分析了部分排水条件下软土地基土工合成物加筋路堤的性状,按照Biot理论模拟了固结行为。在路堤施工期地基土的部分固结和不同初始排水条件下,主要分析加筋体的刚度影响和地基土的强度轮廓面,以及在正常工作情况下和在路堤失效情况下土工合成加筋材料的应变特点。分析了加筋体对于地基土变形的影响。结果显示,加筋体可以提高路堤的破裂高度,可以明显地减小路堤施工期最大侧向变形、竖向变形和地基土隆起,可明显提高施工期路堤的安全系数。     

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.     

地震条件下挡墙后黏性土主动土压力研究

采用水平层分析法,得到了地震条件下挡墙后黏性土主动土压力合力和作用点位置、土压力强度分布以及临界破裂角的解析解。公式考虑了水平和垂直地震加速度、挡墙墙背倾角、填料黏聚力和内摩擦角、填料与墙背的黏结力和外摩擦角、均布超载等因素,并分析了这些因素对主动土压力的影响。结果表明,朗肯和库伦理论下的主动土压力公式以及Mononobe-Okabe主动土压力公式与地震条件下的主动土压力公式完全一致。地震条件下的主动土压力强度沿墙高呈非线性分布。水平地震加速度增大了主动土压力,垂直地震加速度使得主动土压力有所减小     

地震效应和坡顶超载对均质土坡稳定性影响的拟静力分析

基于强度折减技术和极限分析上限定理,假定机动容许的速度场破坏面,考虑坡顶超载、水平和竖向地震效应影响推导了边坡稳定性安全系数的计算表达式。采用序列二次规划迭代方法（和内点迭代方法）对边坡安全系数目标函数进行能量耗散最小化意义上的优化计算,与多个算例的对比验证了其方法和程序计算的正确性;对影响土质边坡动态稳定性的一些因素进行了参数分析,分析表明：随着边坡倾角?、坡顶超载q、水平和竖向地震效应影响系数的增大,边坡稳定性安全系数显著下降;随着坡顶超载q、水平地震效应影响系数kh的增大、竖向地震效应影响系数kv的减小,边坡的潜在滑动面越来越深,潜在破坏范围越来越大。竖向地震效应对边坡稳定性也有一定影响,强震条件下的设计计算必须考虑竖向地震效应的影响。     

均布荷载下台阶式加筋土挡墙性能的试验分析

台阶式加筋土挡墙变形与力学特性尚待进一步深入研究。利用模型试验综合分析台阶宽度、上墙筋材长度和筋材层间距对两级台阶式加筋土挡墙性能的影响,试验结果表明:当台阶宽度由1.3H₁(H₁为下墙高度)减至0.4H₁、筋材层间距减小或上墙筋材长度增加时,挡墙顶部沉降明显减少,且墙顶极限承载力显著增加;台阶式加筋土挡墙水平变形受台阶宽度和上墙筋材长度的影响显著,顶部加载时以上墙中部“鼓肚”和下墙沿墙高逐渐增大为主;增加台阶宽度使上墙底部垂直土压力增加,而下墙靠近墙面侧垂直土压力显著减小,增加上墙筋材长度和减少层间距使垂直土压力向远离墙面一侧发展;顶部加载时台阶式加筋土挡墙滑动面始于加载板后缘,绕过上墙墙底承台并贯通于下墙顶部土体,其破坏模式以上墙深层滑动破坏为主。     

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。     

基于二楔块法的加筋土挡墙屈服加速度及破坏模式极限分析

加筋土挡墙具有优越的抗震性能,并在土建工程中被广泛应用,因此,加筋土挡墙抗震设计方法的研究尤为重要。为了能够分析加筋体内部筋材布置方式、筋材抗拉强度等对屈服加速度的影响,假定破坏模式为双楔块模式,根据极限分析理论推导了加筋土挡墙屈服加速度系数表达式。与规范计算值相比,计算结果更接近模型测试值与数值模拟结果,同时计算方法可以反映模型的真实破坏模式。参数分析表明：屈服加速度随着筋材抗拉强度的增大而增大,特别是筋材长度较长时;随着筋材竖向间距的增大,屈服加速度逐渐减小;面板的宽度对屈服加速度几乎不产生影响;与面板宽度相比,筋材抗拉强度与竖向间距对加筋土挡墙破裂面形状的影响更大。     

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。