Seismic stability analysis of piled embankments: A multiphase approach

The seismic stability analysis of an embankment lying over a soft foundation soil reinforced by a group of vertical piles is performed within the framework of the upper bound kinematic approach of yield design. The analysis is based on a previously developed ‘multiphase’ model of the reinforced ground, which explicitly accounts for the shear and bending resistances of the piles. Making use of appropriate failure mechanisms involving shear zones across which the reinforcements are continuously deforming, along with ‘plastic hinge’ surfaces, upper bound estimates to the critical seismic coefficient of the structure are derived. The results, which are confirmed by the simulations obtained from a finite element elastoplastic code, give clear evidence of the key role played by the bending strength capacities of the piles in ensuring the stability of the pile reinforced embankment. Copyright © 2009 John Wiley & Sons, Ltd.     

A homogenization method for estimating the bearing capacity of soils reinforced by columns

The ultimate bearing capacity problem of a strip foundation resting on a soil reinforced by a group of regularly spaced columns is investigated in the situation when both the native soil and reinforcing material are purely cohesive. Making use of the yield design homogenization approach, it is shown that such a problem may be dealt with as a plane strain yield design problem, provided that the reinforced soil macroscopic strength condition has been previously determined. Lower and upper bound estimates for such a macroscopic criterion are obtained, thus giving evidence of the reinforced soil strong anisotropy. Performing the upper bound kinematic approach on the homogenized bearing capacity problem, by using the classical Prandtl's failure mechanism, makes it then possible to derive analytical upper bound estimates for the reinforced foundation bearing capacity, as a function of the reinforced soil parameters (volume fraction and cohesion ratio), as well as of the relative extension of the reinforced area. It is shown in particular that such an estimate is closer to the exact value of the ultimate bearing capacity, than that derived from a direct analysis which implicitly assumes that the reinforced soil is an isotropic material. Copyright © 2005 John Wiley & Sons, Ltd.     

Stability analysis of membrane‐reinforced curved earth retaining walls,using a multiphase approach

The stability analysis of curved earth retaining walls, stabilized by reinforcing membranes, is investigated by means of a multiphase model developed in the framework of the yield design approach. This model is an extension of that previously developed for soils reinforced by linear inclusions. It combines the advantage of a homogenization approach in terms of improved computational efficiency, with its capability to account for a specific soil–reinforcement failure condition, in a rational and systematic way. Application of this model is performed on the illustrative example of a cylindrical‐reinforced retaining wall by means of the kinematic approach of yield design, which provides upper bound estimates for the retaining wall stability factor. Nondimensional charts are finally presented assessing the influence of relevant parameters such as the curvature of the wall, the length of the reinforcing membranes or the reinforcement pull‐out resistance. Copyright © 2009 John Wiley & Sons, Ltd.     

Calculation of the critical height of a homogenized reinforced soil wall: A numerical approach

This paper is devoted to the stability analysis of a vertical embankment in reinforced soil, assuming that a very large number of reinforcements are periodically distributed throughout the soil mass. The reinforced soil is modelled as a homogeneous medium that obeys a macroscopic yield condition. Two numerical formulations of the homogenized problem, derived from the lower and upper bound theorems of limit analysis, respectively, with a finite element discretization technique, are described. They both lead to a linear programming problem, which is carried out by means of XPRESS industrial LP code. The practical implementation of both the static and kinematic finite element programs on the case of a vertical reinforced earth wall results in close estimates of its failure height, which are in good agreement with available experimental data. This points to the ability of such programs to provide a rigorous evaluation of the limit loads of structures through the determination of lower bound and upper bound estimates sufficiently close to each other.     

A three-phase model for evaluating the seismic resistance of soils reinforced by a network of symmetrically inclined piles

The stability analysis of a piled embankment under seismic loading is considered, with a special emphasis on the optimization of the reinforcement layout by splitting the initial group of vertical piles into two symmetrically inclined arrays of parallel inclusions. The bidirectionally-reinforced soil thus obtained is appropriately described, at the macroscopic scale, by a three-phase model, conceived as an extension of the two-phase model previously developed for unidirectionally-reinforced soils. The model is implemented in a finite element formulation and related numerical code, which is used for simulating the behavior of the piled embankment up to failure. The results of these simulations, which favourably compare with upper bound yield design calculations, clearly indicate that the seismic resistance of the embankment can be considerably increased from symmetrically inclining the piles, even without taking the potential benefits of their flexural resistance into account.     

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。     

The mechanical behaviour and design concerns for a hybrid reinforced earth embankment built in limited width adjacent to a slope

This paper aims to investigate the mechanical behaviour of a hybrid reinforced earth embankment built in limited width adjacent to a slope. This embankment system incorporates reinforced earth embankments with soil nails, installed in the existing ground. Soil nails work to provide additional resisting forces to stabilize the embankment which may be unstable due to insufficient reinforcement length. Nail forces developed in the hybrid reinforced earth embankment with various geometric conditions in the fill space are analyzed. The FE method is used to simulate the construction of the hybrid reinforced earth embankment. Influence of reinforcement length, reinforcement stiffness, and slope gradient on the nail forces developed following the construction is analyzed and discussed. Additionally, design concerns for the hybrid reinforced earth embankment system are also studied. Simple charts for estimating the maximum nail force mobilized at back of the hybrid reinforced earth embankment are established in this research and can be helpful in the design of the soil nails in the system.     

FE analysis of grid reinforced embankment system on soft Bangkok clay

The behavior of a reinforced embankment on soft Bangkok clay has been analyzed by plane strain finite element method. The finite element analysis considers the selection of proper soil/reinforcement properties according to the relative displacement pattern of upper and lower interface elements. The large deformation phenomenon is simulated by updating the node coordinates, including those of the embankment elements above the current construction level, which ensures that the applied fill thickness simulates the actual field value. A full scale test reinforced embankment with a vertical face (wall) on Bangkok clay has been analyzed by the proposed finite element method, and the numerical results are compared with the field data. The response of a reinforced embankment on soft ground is principally controlled by the interaction between the reinforced soil mass and soft ground and the interaction between the grid reinforcement and the backfill soil. The tension in reinforcement and lateral displacement of the wall face varied during consolidation of foundation soil. The maximum tension force occurred in the reinforcement layer placed at the base of reinforced mass, due to bending of the reinforced mass resulting from differential settlements. It is considered necessary to account for the permeability variation of the soft ground foundation in the finite element analysis.     

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。     

A plane strain yield design approach to stability analysis of a column‐reinforced soil foundation under inclined loading

The ultimate bearing capacity problem of column‐reinforced foundations under inclined loading is investigated within the framework of static and kinematic approaches of yield design theory. The configuration of a native soft clayey soil reinforced by either a group of purely cohesive columns (lime‐column technique) or a group of purely frictional columns (stone‐column technique) is analyzed under plane strain conditions. First, lower bound estimates are derived for the ultimate bearing capacity by considering statically admissible piecewise linear stress distributions that comply with the local strength conditions of the constitutive materials. The problem is then handled by means of the yield design kinematic approach of limit analysis through the implementation of several failure mechanisms, allowing the formulation of upper bound estimates for the ultimate bearing capacity. A series of finite element limit load solutions obtained from numerical elastoplastic simulations suggests that the predictions derived from the kinematic approach appear to be more accurate than the estimates obtained from the static approach. Comparison with available results obtained in the context of yield design homogenization demonstrates the accuracy of the proposed direct analysis, which may therefore be viewed as complementary approach to homogenization‐based approaches when a small number of columns is involved. Copyright © 2016 John Wiley & Sons, Ltd.     

A multiphase approach to the stability analysis of reinforced earth structures accounting for a soil–strip failure condition

A multiphase model, developed in the context of elastoplasticity, is applied to the simulation and design of reinforced earth retaining structures. The main feature of this model is to combine the advantage of a homogenization approach, as regards its computational efficiency, with the ability to account for a specific failure condition at the interface between the soil and the reinforcing strips, which may have a decisive influence on the behavior of the structure. A particular emphasis is put on the stability analysis of this kind of reinforced soil structures, formulated within the framework of the yield design theory. Making use of a generalized rigid block failure mechanism, the stability of a reinforced earth retaining wall is investigated by means of the kinematic approach, leading to upper bound estimates for the stability factor of the structure, which are then favorably compared with the results of an elastoplastic analysis. Special attention is paid to assessing in a quantitative way how a specific soil–strip failure condition affects the stability of the reinforced earth structure as a whole.     

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。     

基于桩体抗剪强度的复合地基路堤稳定性分析方法

根据瑞典条分法和简化毕肖普法分析边坡稳定性原理,通过对抗滑桩及桩间土的稳定力矩与滑动力距进行单独分析及计算,提出基于桩体强度的路堤边坡稳定性分析桩-土分算法。采用桩-土分算法和规范法对具有不同加固桩桩径、桩间距和路堤高度的边坡稳定性及滑坡破坏特点进行分析。结果表明,桩-土分算瑞典条分法计算所得稳定系数最大,桩-土分算毕肖普法次之,规范法所得稳定系数最小。基于3种方法的路堤边坡稳定系数均随坡高增大而降低,规范法与桩-土分算法计算所得稳定系数差值,随边坡高度增大呈先增大后减小的抛物线形变化。此外,桩-土分算法分析所得边坡最不利滑面位置出现了“下移”现象,根据规范法边坡最不利圆弧滑面穿过地基加固区中部,但当路堤边坡高度为9~15 m时,桩-土分算法分析所得最不利圆弧滑面绕开了柔性桩加固区域,位于柔性桩加固区底部以下区域,且此时边坡仍然存在不稳定性。     

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.     

土工织物补强软基的作用机理与整体稳定性分析

《规范》（GB50290-98）规定采用圆弧稳定性分析法计算加筋垫层路堤的抗深层滑动,所得到的最小稳定安全系数往往偏低,未能反映筋材所起的全部作用。经对土与土工织物相互作用的机理分析认为,对于具有中等拉伸强度和变形模量的织造土工织物,由于填土高度的增加使加筋垫层路堤与地基进入极限平衡状态的情况下,会表现出抗剪、抗拔和抗拉3种相互交叉的阻滑补强作用。通过3个现场足尺试验破坏堤段的比较,及对有1层土工织物加筋的试验堤段,按圆弧滑动法求出这3种阻滑机理下的最小抗滑稳定安全系数,说明了采用土工织物的阻滑补强作用效果;在具体工程中,会存在一种主要的阻滑作用机理。利用现场足尺破坏试验的实测资料提出,采用通过沉降最大值的堤基中心点的新的滑弧可使路堤的稳定分析计算更接近实际;在比较加1,2层和不加土工织物时,新滑弧比原滑弧求得的最小抗滑稳定安全系数有明显的增大。     

波浪作用下加固软基上大圆筒结构稳定性分析

在大型通用有限元软件ABAQUS平台上,通过二次开发,将软黏土的循环强度与D-P屈服准则相结合,基于拟静力分析建立了波浪循环作用下考虑软土地基弱化效应的大圆筒结构稳定性计算模型。结合某工程,对大圆筒结构的稳定性进行了分析。结果表明,考虑地基循环弱化效应时,大圆筒结构的稳定性安全系数显著降低;打设排水板对地基加固后,结构稳定性安全系数显著提高;在同一圆筒入土深度下,随着地基加固深度的增加,大圆筒结构稳定性安全系数明显增大。考虑地基循环弱化效应时大圆筒结构稳定性安全系数减小程度在30 %左右,建议在实际设计中应考虑软土地基循环弱化效应对大圆筒结构稳定性的影响。同时在地基不满足承载要求时,打设排水板加固软土地基是提高大圆筒结构稳定性的有效途径。     

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.     

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。     

A procedure for the design and analysis of geosynthetic reinforced soil slopes

Summary A procedure for the stability analysis and design of geosynthetic reinforced soil slopes over a firm foundation is described. Firstly the unreinforced slope is analysed, and for this a circular failure method is used which allows a surcharge load to be taken into account. Any method of slip circle analysis could be used to identify the coordinates of the centre of the slip circle, its radius and the minimum factor of safety. In this study, both internal and external stability analysis of the reinforced slope is presented. Internal stability deals with the resistance to pullout failure within the reinforced soil zone resulting from the soil/reinforcement interaction. The external stability is considered by an extension of the bilinear wedge method which allows a slip plane to propagate horizontally along a reinforcing sheet. The results for total tensile force, internal and external stability are presented in the form of charts.For given properties of soil and slope geometry, the required strength of the geosynthetic and the length of reinforcement at the top and bottom of the slope can be determined using these charts. The results are compared with the published design charts by Schmertmannet al. (1987).     

土工格栅在青藏铁路多年冻土区路基工程中的应用

以青藏铁路多年冻土区清水河冻土加筋路堤试验段为例,对土工格栅在铁路路基工程中的应用原理及设计思路进行了叙述.通过对路基裂缝进行调查、分析和比较,土工格栅对加强路基整体稳的作用是肯定的.在多年冻土区路堤中,使用土工格栅加筋层对防止路堤纵向裂缝的产生、抑制横向寒冻裂缝具有明显的作用.