Effects of periodic fluctuations of micro‐polar boundary conditions on shear localizations in granular soil–structure interaction

In this work, the interface behavior between an infinite extended narrow granular layer and a rough surface of rigid body is investigated numerically, using finite element method in the updated Lagrangian (UL) frame. In this regard, the elasto‐plastic micro‐polar (Cosserat) continuum approach is employed to remove the limitations caused by strain‐softening of materials in the classical continuum. The mechanical properties of cohesionless granular soil are described with Lade's model enhanced by polar terms, including Cosserat rotations, curvatures, and couple stresses. Furthermore, the mean grain diameter as the internal length is incorporated into the constitutive relations accordingly. Here, the evolution and location of shear band, within the granular layer in contact with the rigid body, are mainly focused. In this regard, particular attention is paid to the effects of homogeneous distribution and periodic fluctuation of micro‐polar boundary conditions, prescribed along the interface. Correspondingly, the effects of pressure level, mean grain diameter, and stratified soil are also considered. The finite element results demonstrate that the location and evolution of shear band in the granular soil layer are strongly affected by the non‐uniform micro‐polar boundary conditions, prescribed along the interface. It is found that the shear band is located closer to the boundary with less restriction of grain rotations. Furthermore, the predicted thickness of shear band is larger for higher rotation resistance of soil grains along the interface, larger mean grain diameter, and higher vertical pressure. Regarding the stratified soil, comprising a thin layer with slightly different initial void ratio, the shear band moves towards the layer with initially higher void ratio. Copyright © 2011 John Wiley & Sons, Ltd.     

混凝土桩-泥皮-砂土接触面力学特性试验研究

为研究泥皮、粗糙度对桩-土接触面力学特性的影响规律,根据灌注桩成孔后的孔径-深度曲线,应用统计分析法获得了桩侧凸出尺寸和粗糙度的分布频率规律,以此构建了表面光滑和梯形凹槽混凝土板来模拟实际桩侧表面粗糙度。在此基础上,开展了不同泥皮厚度、粗糙度条件下的混凝土-砂土接触面大型直剪试验。其研究结果表明：无泥皮条件下粗糙接触面,其剪切应力-切向位移关系曲线呈软化型;泥皮厚度为5、10 mm条件下,呈硬化型。剪切模量G0.02随泥皮厚度增加而衰减。对光滑混凝土板,其接触面峰值剪切强度和峰值摩擦角随泥皮厚度的增加呈指数关系衰减;对粗糙混凝土板,峰值剪切强度和峰值摩擦角随泥皮厚度的增加近似呈线性衰减。初始泥皮越厚,试验后的泥皮土和泥皮越厚,接触面剪切强度越低。无泥皮条件下粗糙度对接触面峰值剪切强度的影响规律：存在一个临界粗糙度Icr =10 mm,当混凝土板的粗糙度I< Icr时,接触面峰值剪切强度和峰值摩擦角随粗糙度的增大而增大;当I≥Icr时,二者随着接触面粗糙度的增大而减小,泥皮存在会影响改变这一规律。     

Nonlinear analysis of multilayer extensible geosynthetic-reinforced granular bed on soft soil

The paper presents a model for the analysis of granular foundation beds reinforced with several geosynthetic layers. Such reinforced granular beds are often placed on soft soil strata for an efficient and economical transfer of superstructure load. The granular bed is modeled by the Pasternak shear layer and the geosynthetic reinforcement layers by stretched rough elastic membranes. The soft soil is represented by a series of nonlinear springs. The reinforcement has been considered to be extensible and it is assumed that the deformation at the interface of the reinforcements and soil are same. The nonlinear behavior of the granular bed and the soft soil is considered. Plane strain conditions are considered for the loading and reinforced foundation soil system. An iterative finite difference scheme is applied for obtaining the solution and results are presented in nondimensional form. The results from the proposed model are compared to the results obtained for multilayer inextensible geosynthetic reinforcement system. Significant reduction in the settlement has been observed when the number of reinforcement layer is increased. In case of inextensible reinforcements as the number of reinforcement layer is increased the settlement is decreased with a decreasing rate, but in case of extensible reinforcement the reduction rate is almost constant. Nonlinear behavior of the soft soil decreases as number of reinforcement layer is increased. The effect of the stiffness of the geosynthetic layer on the settlement response becomes insignificant for multilayer reinforced system, but the mobilized tension in the reinforcement layers increases as the stiffness of the geosynthetic layers increases.     

Shearing of a narrow granular layer with polar quantities

The paper deals with numerical investigations of the behaviour of granular bodies during shearing. Shearing of a narrow layer of sand between two very rough boundaries under constant vertical pressure is numerically modelled with a finite element method using a hypoplastic constitutive relation within a polar (Cosserat) continuum. The constitutive relation was obtained through an extension of a non‐polar one by polar quantities, viz. rotations, curvatures, couple stresses using the mean grain diameter as a characteristic length. This relation can reproduce the essential features of granular bodies during shear localization. The material constants can be easily determined from element test results and can be estimated from granulometric properties. The attention is laid on the influence of the initial void ratio, pressure level, mean grain diameter and grain roughness on the thickness of shear zones. The results of shearing are also compared to solutions without the polar extensions. The FE‐calculations demonstrate that polar effects manifested by the appearance of grain rotations and couple stresses are significant in the shear zone, and its thickness is sensitive to the initial void ratio, mean grain diameter and layer height. The effect of the pressure level is rather low within the considered range. Copyright © 2001 John Wiley & Sons, Ltd.     

超长灌注桩桩-土界面剪切试验研究

为研究超长灌注桩桩侧与土体接触界面的剪切力学行为,采用大型界面剪切仪,开展混凝土与粉质黏土、粉细砂土接触界面剪切试验。针对钻孔灌注桩泥浆护壁施工特点及后注浆工艺的应用,在混凝土与粉细砂土界面设置膨润土泥皮或膨润土泥皮与水泥浆,以研究泥皮及存在泥皮时注浆对界面剪切性状的影响。试验结果表明：界面剪切应力随剪切位移增加逐步达到极限值,之后,剪切应力保持基本不变或出现软化现象;土体类型及法向应力大小对界面剪切力学行为具有较大的影响;粉细砂土-混凝土界面摩擦角与土体有效内摩擦角相近,存在泥皮时,界面摩擦角降低达40%,泥皮的润滑作用较大地削弱了界面的剪切性能;存在泥皮情况下,注浆后界面摩擦角较泥皮界面提高近1倍,水泥浆的注入不仅消除了泥皮产生的不利影响,也有利于进一步改善界面剪切性能,提高其抗剪强度;泥皮及注浆对界面剪切应力与剪切位移关系亦有较大的影响;界面剪切作用对土体具有一定的影响范围,并在接触界面附近土体中逐渐形成剪切破坏带,剪切过程中界面呈现出由剪切位移阶段逐步过渡至剪切滑移阶段;此外,在剪切过程中,不同界面类型的土体变形存在较大差异。     

On the Evaluation of Settlement Measurements Using Borehole Extensometers

Borehole extensometers are commonly utilized in field monitoring programs to measure settlement. In order to secure the targets of the extensometer, the borehole is typically backfilled with cement-bentonite grout. In the absence of standards for grout mix designs and due to non-universality of the properties of the backfilling grout, the accuracy of settlement furnished by borehole extensometers may be questionable. A preliminary parametric study was conducted to investigate the influence of grout stiffness on settlement measurements using borehole extensometers. The finite element program ABAQUS was used to model a borehole extensometer installed in an isotropic homogeneous elastic soil layer of a finite depth subjected to a uniform surface surcharge. Effect of the grout?Csoil elastic moduli ratio, soil/grout interface parameters (friction angle and shear strength), and extensometer embedment depth were investigated. Soil/grout interface behavior was assumed to comply with the elastic-perfectly plastic Coulomb friction model. The mechanism of measuring settlement using borehole extensometers was studied. The numerical study revealed that minimum errors in settlement can be obtained if the grout?Csoil elastic moduli ratio is made equal to about 1.0. Depending on the grout?Csoil moduli ratio, larger grout/soil interface friction angle and interface shear strength are generally associated with smaller settlement errors. Compared to fully embedded extensometers, partial embedment yields smaller settlement errors for grout?Csoil moduli ratio significantly above unity. In view of the findings of this preliminary parametric study, it is suggested to adopt the grout?Csoil moduli ratio in conjunction with grout compressive strength as the controlling criterion rather than the grout compressive strength only (current standard of practice). Additionally, it is evident that cement-bentonite grout mix should be carefully designed as part of the settlement monitoring programs to match the expected deformability (stiffness) of the soil mass under consideration. Future laboratory, field and numerical studies are needed to investigate more complex soil stratifications and to evaluate the behavior of various grout mixes.     

FE-modeling of shear resistance degradation in granular materials during cyclic shearing under CNS condition

The behaviour of dry and cohesionless granular material during quasi-static cyclic shearing under a constant normal stiffness (CNS) condition is theoretically studied. A particular attention is laid to the volumetric strain change and the degradation of the shear resistance in the course of shearing. Numerical calculations are carried out for several shear cycles under boundary conditions which are relevant to investigate the shear interface behaviour. The global and local evolution of deformation, stress and density within the granular material is investigated with a finite element method on the basis of a hypoplastic constitutive model extended by micro-polar quantities: rotations, curvatures and couple stresses. A mean grain diameter is used as a characteristic length of micro-structure. The constitutive equations for stresses and couple stresses take also into account the effect of the evolution of the void ratio, pressure dependent relative density, direction of rate of deformation and rate of curvature. The numerical results are qualitatively compared with corresponding laboratory tests on direct wall shearing performed by DeJong, Randloph and White. In addition, the results for cyclic shearing of an infinite granular layer between two very rough boundaries under CNS conditions are also enclosed and discussed.     

Modeling of granular bed‐stone column‐improved soft soil

The present study pertains to the development of a mechanical model for predicting the behavior of granular bed‐stone column‐reinforced soft ground. The granular layer that has been placed over the stone column‐reinforced soft soil has been idealized by the Pasternak shear layer. The saturated soft soil has been idealized by the Kelvin–Voigt model to represent its time‐dependent behavior and the stone columns are idealized by stiffer Winkler springs. The nonlinear behavior of the granular fill has been incorporated in this study by assuming a hyperbolic variation of shear stress with shear strain as in one reported literature. Similarly, for soft soil it has also been assumed that load‐settlement variation is hyperbolic in nature. The effect of consolidation of the soft soil due to inclusion of the stone columns has also been included in the model. Plane‐strain conditions are considered for the loading and foundation soil system. The numerical solutions are obtained by a finite difference scheme and the results are presented in a non‐dimensional form. Parametric studies for a uniformly loaded strip footing have been carried out to show the effects of various parameters on the total as well as differential settlement and stress concentration ratio. It has been observed that the presence of granular bed on the top of the stone columns helps to transfer stress from soil to stone columns and reduces maximum as well as differential settlement. Copyright © 2007 John Wiley & Sons, Ltd.     

粗粒土的破碎耗能计算及影响因素

粗粒土的颗粒破碎直接改变了土体本身结构,对粗粒土的剪胀和内摩擦角都会产生影响。在土体剪切过程中,体积应力和剪切应力在体积应变和剪切应变上做功,这部分能量在剪切过程中转化为颗粒的弹性储能、颗粒间的摩擦耗能、颗粒剪胀时对外做功和颗粒破碎耗能4部分。准确计算剪切过程中粗粒土破碎耗能的目的是：从能量角度分析颗粒破碎对土体本构关系的影响,为建立考虑颗粒破碎的粗粒土本构关系创造条件。通过分析粗粒土的常规三轴试验数据,计算得到了剪切过程中的粗粒土破碎耗能。计算结果表明,常规三轴试验条件下粗粒土破碎耗能主要受固结应力、土体摩擦系数M等因素的影响。     

Experimental Investigation of Frictional Behavior Between Cohesive Soils and Solid Materials Using Direct Shear Apparatus

Soil shearing resistance is very important while designing various structures which have direct contact with soil, for example, sheet piles, piles, retaining walls, reinforced earth structures and shallow foundations. Even though designers use empirical values for their design, it is very important to obtain more accurate values for soil–solid materials shearing resistance. In this work, laboratory tests have been carried out to investigate the effect of roughness interface and texture models on friction angle between cohesive soils and steel, as well as abrasive paper material, using direct shear tests. All tests were carried out under consolidated drained shear conditions. The behavior at the soils–solid interface was found to vary according to surface roughness. It also seems that the type of material (steel or paper of abrasive) used does not have a major influence on the shear strength. As far as roughness is concerned, friction behavior is likely to be generally classified into three failure modes, namely full sliding at the interface, shear failure within the soil, and a mixed behavior where interface sliding and shear deformation of the soil specimen proceed simultaneously. However, for the second mode, the shear strength at the interface soil-rough solid materials steel was found to be lower than the shear strength of the soil, for a soil that is classified as high plasticity clay. Furthermore, it was found that the interfacial shear strength is independent of the texture surface for a given roughness.     

土工织物与吹填土界面作用特性试验研究

筋-土界面强度参数是加筋结构设计和稳定分析的关键技术指标。拉拔试验能较好模拟现场加筋行为而得到广泛的应用。基于拉拔和直剪试验研究了拉拔（剪切）速率对筋-土界面特性和吹填砂强度特性的影响规律及机制,同时探讨了不同填料界面、筋材类型的加筋效果。结果表明：随着拉拔（剪切）速率的增大,吹填砂-筋材-吹填砂界面的抗剪强度下降明显,而软土-筋材-吹填砂界面以及砂本身强度则变化不大。从强度指标来看,拉拔速率增大,筋-砂界面强度的降低主要表现为似黏聚力的降低,筋-软土界面抗剪强度的增加表现为内摩擦角增大,剪切速率对吹填砂则基本无影响。筋-土界面特性受拉拔速率和正应力的共同影响,与筋材类型和填料特性有关。筋-土界面内摩擦角小于填料摩擦角,但在一定正应力下低速剪切时（如<0.53 mm/min）可获得高于填料的抗剪强度。宜根据似黏聚力大小合理选择摩擦参数进行加筋结构的设计与评价。     

颗粒大小对颗粒材料力学行为影响初探

利用一种特殊颗粒材料-玻璃珠进行了一系列室内直剪试验,研究颗粒大小对颗粒材料力学行为的影响。试验一共考虑了3条近乎平行的级配曲线和4种颗粒摩擦情况：干燥状态、水浸润状态、水淹没状态和油浸润状态。试验结果表明,颗粒大小对颗粒材料的力学行为有显著影响,剪胀性随着粒径的增大而增强。为考虑颗粒大小对剪胀性的影响,提出了一种新的剪胀关系式。在该剪胀关系式中,剪胀系数为依赖于颗粒大小和颗粒摩擦等颗粒基本性质的变量。试验研究同时表明临界状态摩擦角随着颗粒大小的增加而增加。此外,从颗粒细观运动的角度提出了颗粒滑动的功能模型,推导出了功能方程,并以此揭示了颗粒大小对临界状态摩擦角影响的细观机制。     

法向刚度对土与结构接触面三维特性影响的试验研究

运用80 t大型三维接触面试验机,对不同法向刚度下粗粒土与结构接触面三维静动力学特性进行了试验研究,重点分析了法向刚度对接触面力学特性的影响规律。法向常刚度条件下,接触面在单调剪切时均先剪缩再剪胀、法向应力先减小后增大;循环剪切时接触面不可逆性剪切体变呈单调增长、可逆性剪切体变峰值逐渐减小后趋于稳定,切向应力峰值不断减小,抗剪强度逐渐减小,主应力比峰值则基本保持不变。法向刚度主要影响剪切体变、可逆性剪切体变、切向应力、主剪应力等接触面力学性能参数的大小;法向刚度越大,单调剪切时法向应力变化越大、切向应力峰值越大、剪缩和剪胀量越小;循环剪切时不可逆性剪切体变增长越慢、最终值越小,抗剪强度减小越快、达到0时对应的循环周次越少。法向刚度对剪切体变、可逆性剪切体变、主剪应力、主应力比等性能参数与切向位移的关系形式及接触面摩擦角基本没有影响。     

坡度对碎屑流冲击立式拦挡墙力学特征的影响

由坡度和挡墙倾角的改变造成碎屑流冲击力学模型的改变是目前被忽略的问题。在碎屑流冲击倾式拦挡墙物理试验的基础上,利用离散元数值计算方法研究了坡度对碎屑流冲击立式拦挡墙（墙面与地面的夹角为90°）力学特征的影响,依据死区颗粒堆积特征,流动层颗粒冲击特征以及二者的相互作用特征提出了两种新力学模型：由倾斜冲击挡墙向坡面堆积转变的力学模型和考虑流动层对死区冲切摩擦作用的水平直接冲击力学模型。对不同冲击力学模型进行了验证分析,结果表明：坡度和挡墙倾角改变了死区的堆积特征从而改变了流动层的冲击方向和冲击力大小。当坡度小于40°时,碎屑流流动层首先沿死区上覆面倾斜冲击挡墙,在最大冲击力作用时刻,流动在坡面层状堆积,最大法向冲击合力可按静土压力公式估算。随着坡度的增大,在最大冲击力时刻,流动层颗粒直接冲击挡墙,但由于死区颗粒对流动层颗粒具有摩擦缓冲减速作用,大幅降低了流动层对挡墙的直接冲击力。此时死区对挡墙的作用力主要包括3个部分：流动层沿坡面冲击死区,由死区传递至挡墙的冲击力、流动层对死区的冲切摩擦力以及死区自重的静土压力。死区对挡墙作用力占最大法向冲击合力的比例增大至90%左右。当坡度由40°增大到50°时,在最大法向冲击合力作用时刻,流动层对死区的冲切摩擦力占最大冲击力的比例由15%增大到49%,流动层与死区之间的摩擦系数由滚动摩擦系数转变为静摩擦系数。提出的流动层对死区的冲切摩擦力为碎屑流冲击刚性挡墙力学计算模型提供了新的研究思路。     

Response of multilayer geosynthetic-reinforced bed resting on soft soil with stone columns

In the present study, a mechanical model has been developed to study the behavior of multilayer geosynthetic-reinforced granular fill over stone column-reinforced soft soil. The granular fill and geosynthetic reinforcement layers have been idealized by Pasternak shear layer and rough elastic membranes, respectively. The Kelvin–Voight model has been used to represent the time-dependent behavior of saturated soft soil. The stone columns are idealized by stiffer springs and assumed to be linearly elastic. The nonlinear behavior of the soft soil and granular fill is considered. The effect of consolidation of soft soil due to inclusion of the stone columns on settlement response has also been included in the model. Plane strain conditions are considered for the loading and reinforced foundation soil system. An iterative finite difference scheme is applied for obtaining the solution and results are presented in nondimensional form. It has been observed that if the soft soil is improved with stone columns, the multilayer reinforcement system is less effective as compared to single layer reinforcement to reduce the total settlement as there is considerable reduction in the total settlement due to stone column itself. Multilayer reinforcement system is effective for reducing the total settlement when stone columns are not used. However, multilayer reinforcement system is effective to transfer the stress from soil to stone column. The differential settlement is also slightly reduced due to application of multiple geosynthetic layers as compared to the single layer reinforcement system.     

软着陆足垫与模拟月壤界面特性研究

软着陆机构与模拟月壤滑移性能是影响月球探测器月面软着陆稳定性的重要因素。针对缓冲机构所用足垫材料-硬铝,通过直剪仪开展界面直剪试验,研究不同法向应力和剪切速率下不同相对密度模拟月壤和光滑铝板间的接触面变形、强度特性。试验结果表明,稍密时接触面无明显剪应力峰值,近理想弹塑性变形;密实条件下接触面破坏时呈现应变软化现象;法向压力增加接触面强度增加,接触面强度随剪切速率增加而降低,接触面摩擦角取26.8°～31.4°之间。     

轮胎碎片-砂混合土抗剪性能优化试验研究

废旧轮胎碎片-砂混合土有诸多优点,作为轻质填料目前已有应用。对轮胎碎片-砂混合土进行系列剪切试验,探讨碎片含量和纵横比、密实度等不同因素对混合土抗剪性能的影响规律。研究结果表明,加入轮胎碎片后,混合土摩尔-库仑包线呈非线性,且随碎片含量增加,抗剪强度、内摩擦角相应增加,非线性特征更明显。通过优化轮胎碎片纵横比、增加碎片含量和密实度,混合土内摩擦角可以增加8%～89%。其他条件相同时,单纯改变轮胎碎片宽度对抗剪性能影响不明显,但纵横比影响很大,对于给定宽度的轮胎碎片,仅有惟一的某个长度值使得混合土内摩擦角达到最大,且最大值可达65°。     

昔格达组粉砂岩与结构接触面力学特性试验研究

以攀枝花钢铁集团西昌钒钛资源综合利用项目建设中典型的昔格达组中风化粉砂岩为对象,进行了重塑土与混凝土压密,原状土与混凝土浇筑两种不同方式形成接触关系的环剪试验。对两种工况接触面下,剪切应力-剪切位移、竖向应变-剪切位移和抗剪强度特性分析表明:接触面剪切变形引起法向变形,随着法向应力的增加剪切引起的法向变形增大,在法向应力在400kPa时,最大法向应变高达6.8%; 接触面采用浇筑形式形成时,接触面上的土体由于水泥浆的渗入形成强度较高的一个薄层土带,此时接触面破坏发生在土体内部; 当接触面采用压密形成时,摩擦角与土体的内摩擦角接近,而接触面的黏聚力近似可以忽略。     

二维粒状材料双轴压缩试验研究

为了研究粒状材料的各向异性力学行为与细观组构演化之间的关系,采用自主研发的双轴压缩试验系统,以圆形和椭圆形截面的金属棒状材料组成的二维堆积体为试验对象,对不同大主应力方向角?（沉积面与大主应力作用面的夹角）的试样进行了各向等压、常侧向压力、等p剪切3种应力路径试验,并通过分析试样在不同变形阶段的数字照片得到了其细观组构演化规律。发现对于椭圆形截面的试样存在一个卓越剪切方向,随剪应变增大,颗粒长轴呈现出向该方向偏转的趋势,并且在大变形条件下沿该方向形成剪切带;卓越剪切方向与沉积面方向关系不大,而与大主应力作用面方向夹角约为45°+ /2, 为残余内摩擦角;随卓越剪切方向与沉降方向夹角的不同,颗粒偏转程度的不同是导致剪胀特性和峰值强度各向异性的主要原因     

粗粒土边界面塑性模型及其积分算法

粗粒土的强度、变形特性对土石坝、边坡和路基等工程的安全性与稳定性有着至关重要的影响。针对粗粒土在复杂应力状态下的强度和变形特性,在边界面塑性理论和临界状态理论框架下,通过引入状态参数和动态临界状态线建立了粗粒土状态相关边界面塑性模型。模型不仅能够模拟粗粒土的应变硬化和体积收缩行为,还能描述应变软化和体积膨胀特性。基于ABAQUS的二次开发平台,结合带误差控制的改进欧拉积分算法编写了边界面塑性模型的UMAT子程序。通过设置不同的应变增量步和误差容许值,对改进欧拉积分算法的精确性和收敛性进行了分析。对不同密实状态和围压下粗粒土三轴排水剪切试验进行了模拟,验证了带误差控制的改进欧拉积分算法应用于粗粒土边界面塑性模型的合理性,为进一步工程应用奠定了基础。