Stresses due to vertical subsurface loading for an inhomogeneous cross‐anisotropic half‐space

In this article, we present the solutions for the stresses induced by four different loads associated with an axially loaded pile in a continuously inhomogeneous cross‐anisotropic half‐space. The planes of cross‐anisotropy are parallel to the horizontal surface of the half‐space, and the Young's and shear moduli are assumed to vary exponentially with depth. The four loading types are: an embedded point load for an end‐bearing pile, uniform skin friction, linear variation of skin friction, and non‐linear parabolic variation of skin friction for a friction pile. The solutions for the stresses due to the pile load are expressed in terms of the Hankel integral and are obtained from the point load solutions of the same inhomogeneous cross‐anisotropic half‐space which were derived recently by the authors (Int. J. Rock Mech. Min. Sci. 2003; 40 (5):667–685). A numerical procedure is proposed to carry out the integral. For the special case of homogeneous isotropic and cross‐anisotropic half‐space, the stresses predicted by the numerical procedure agree well with the solutions of Geddes and Wang (Geotechnique 1966; 16 (3):231–255; Soils Found. 2003; 43 (5):41–52). An illustrative example is also given to investigate the effect of soil inhomogeneity, the type and degree of soil anisotropy, and the four different loading types on the vertical normal stress. The presented solutions are more realistic in simulating the actual stratum of loading problem in many areas of engineering practice. Copyright © 2004 John Wiley & Sons, Ltd.     

Visco‐elastic load transfer models for axially loaded piles

Viscoelastic or creep behaviour can have a significant influence on the load transfer (t–z) response at the pile–soil interface, and thus on the pile load settlement relationship. Many experimental and theoretical models for pile load transfer behaviour have been presented. However, none of these has led to a closed‐form expression which captures both non‐linearity and viscoelastic behaviour of the soil. In this paper, non‐linear viscoelastic shaft and base load transfer (t–z) models are presented, based on integration of a generalized viscoelastic stress–strain model for the soil. The resulting shaft model is verified through published field and laboratory test data. With these models, the previous closed‐form solutions evolved for a pile in a non‐homogeneous media have been readily extended to account for visco‐elastic response. For 1‐step loading case, the closed‐form predictions have been verified extensively with previous more rigorous numerical analysis, and with the new GASPILE program analysis. Parametric studies on two kinds of commonly encountered loading: step loading, ramp (linear increase followed by sustained) loading have been performed. Two examples of the prediction of the effects of creep on the load settlement relationship by the solutions and the program GASPILE, have been presented. Copyright © 2000 John Wiley & Sons, Ltd.     

A modulus‐multiplier approach for non‐linear analysis of laterally loaded pile groups

A modulus‐multiplier approach, which applies a reduction factor to the modulus of single pile p–y curves to account for the group effect, is presented for analysing the response of each individual pile in a laterally loaded pile group with any geometric arrangement based on non‐linear pile–soil–pile interaction. The pile–soil–pile interaction is conducted using a 3D non‐linear finite element approach. The interaction effect between piles under various loading directions is investigated in this paper. Group effects can be neglected at a pile spacing of 9 times the pile diameter for piles along the direction of the lateral load and at a pile spacing of 6 times the pile diameter for piles normal to the direction of loading. The modulus multipliers for a pair of piles are developed as a function of pile spacing for departure angle of 0, 90, and 180sup>/sup> with respect to the loading direction. The procedure proposed for computing the response of any individual pile within a pile group is verified using two well‐documented full‐scale pile load tests. Copyright © 2006 John Wiley & Sons, Ltd.     

静压桩残余应力的长期观测性状

静压桩施工过程中,可能会沿桩身形成很大的残余应力。通过在砂性土中1根长约26 m静压桩的原位试验,观测了沉桩结束后的残余应力在后续的循环载荷试验、3根邻桩顺次压入、第2次载荷试验以及较长静置期内的长期变化情况,试验历时约212 d。结果显示,循环载荷试验加载水平与循环次数的增加会造成残余应力的进一步累积。邻桩压入使既有桩残余压应力减小,与邻桩即时贯入深度一致的桩身残余应力测点受其影响最明显。桩身残余应力在长时间内会逐步消散至某一稳定值,其时间效应主要与砂性土的蠕变有关,它使得桩周土的土拱效应减弱,并使桩端土的接触压力减小。     

A new analytical model to study the influence of weld on the vertical dynamic response of prestressed pipe pile

This investigation is concerned with the mathematical analysis of a viscoelastic prestressed pipe pile embedded in multilayered soil under vertical dynamic excitation. The pile surrounding soil is governed by the plane strain model, and the soil plug is assumed to be an additional mass connected to the pipe pile shaft by applying the distributed Voigt model. Meanwhile, the prestressed pipe pile is assumed to be a vertical, viscoelastic, and hollow cylinder governed by the one‐dimensional wave equation. Then, analytical solutions of the dynamic response of the pipe pile in the frequency domain are derived by means of the Laplace transform and impedance function transfer method. Subsequently, the corresponding quasi‐analytical solution in the time domain for the case of the prestressed pipe pile undergoing a vertical semi‐sinusoidal exciting force applied at the pile top is obtained by employing the inverse Fourier transform. Utilizing these solutions, selected results for the velocity admittance curve and the reflected wave curve are presented for different heights of the soil plug to examine the influence of weld properties on the vertical dynamic response of prestressed pipe pile. The reasonableness of the theoretical model is verified by comparing the calculated results based on the presented solutions with measured results. Copyright © 2017 John Wiley & Sons, Ltd.     

Soil‐pile interaction in the pile vertical vibration considering true three‐dimensional wave effect of soil

The dynamic response of an end bearing pile embedded in a linear visco‐elastic soil layer with hysteretic type damping is theoretically investigated when the pile is subjected to a time‐harmonic vertical loading at the pile top. The soil is modeled as a three‐dimensional axisymmetric continuum in which both its radial and vertical displacements are taken into account. The pile is assumed to be vertical, elastic and of uniform circular cross section. By using two potential functions to decompose the displacements of the soil layer and utilizing the separation of variables technique, the dynamic equilibrium equation is uncoupled and solved. At the interface of soil‐pile system, the boundary conditions of displacement continuity and force equilibrium are invoked to derive a closed‐form solution of the vertical dynamic response of the pile in frequency domain. The corresponding inverted solutions in time domain for the velocity response of a pile subjected to a semi‐sine excitation force applied at the pile top are obtained by means of inverse Fourier transform and the convolution theorem. A comparison with two other simplified solutions has been performed to verify the more rigorous solutions presented in this paper. Using the developed solutions, a parametric study has also been conducted to investigate the influence of the major parameters of the soil‐pile system on the vertical vibration characteristics of the pile. Copyright © 2013 John Wiley & Sons, Ltd.     

Axisymmetric finite element analysis of pile loading tests

In this paper a typical soil–structure interaction problem is considered, the case of a vertical pile installed in sand and submitted to an axial compression loading. Results from two full scale pile tests are analysed and the tests are reproduced by numerical simulations via finite elements method (FEM). The choice of the mechanical parameters for the soil and the sand–pile interface and the modelling approach are first described. A new numerical strategy is outlined to account for pile installation effects due to jacking and driving via FEM. The proposed approach is based on the application of existing empirical correlations available for the quantification of residual radial and shear stresses along the pile shaft as well as residual pressures around the pile base after the installation. This approach is proposed as an alternative to more complex methods based on the numerical modelling of the pile penetration problem. The role of the constitutive modelling of the interface is also discussed. Finally, comparative analyses of pile loading tests using FEM are provided and the comparisons between numerical and experimental results are presented and discussed.     

Assessment of soil–pile–structure interaction influencing seismic response of mid-rise buildings sitting on floating pile foundations

The role of the seismic soil–pile–structure interaction (SSPSI) is usually considered beneficial to the structural system under seismic loading since it lengthens the lateral fundamental period and leads to higher damping of the system in comparison with the fixed-base assumption. Lessons learned from recent earthquakes show that fixed-base assumption could be misleading, and neglecting the influence of SSPSI could lead to unsafe design particularly for structures founded on soft soils. In this study, in order to better understand the SSPSI phenomena, a series of shaking table tests have been conducted for three different cases, namely: (i) fixed-base structure representing the situation excluding the soil–structure interaction; (ii) structure supported by shallow foundation on soft soil; and (iii) structure supported by floating (frictional) pile foundation in soft soil. A laminar soil container has been designed and constructed to simulate the free field soil response by minimising boundary effects during shaking table tests. In addition, a fully nonlinear three dimensional numerical model employing FLAC3D has been adopted to perform time-history analysis on the mentioned three cases. The numerical model adopts hysteretic damping algorithm representing the variation of the shear modulus and damping ratio of the soil with the cyclic shear strain capturing the energy absorbing characteristics of the soil. Results are presented in terms of the structural response parameters most significant for the damage such as foundation rocking, base shear, floor deformation, and inter-storey drifts. Comparison of the numerical predictions and the experimental data shows a good agreement confirming the reliability of the numerical model. Both experimental and numerical results indicate that soil–structure interaction amplifies the lateral deflections and inter-storey drifts of the structures supported by floating pile foundations in comparison to the fixed base structures. However, the floating pile foundations contribute to the reduction in the lateral displacements in comparison to the shallow foundation case, due to the reduced rocking components.     

静压沉桩引起邻近隧道水平位移计算方法研究

静压沉桩过程中会产生强烈的挤土效应,使得桩周土及邻近的地下电缆隧道产生扰动变形,如果变形过大,可能破坏隧道的防水结构,造成隧道渗漏水,严重影响隧道的正常使用及安全。在圆柱孔扩张理论及基床系数法的基础上,研究了饱和软土地区静压沉桩作用下周边地层及邻近既有电缆隧道应力及水平位移的理论计算方法;考虑群桩效应,推导了单排群桩施工造成邻近既有电缆隧道水平位移的理论计算方法,并研究了群桩效应影响系数的取值范围;最后,开展了实际工程的理论计算和数值模拟。研究结果表明：提出的方法可方便计算出单桩及单排群桩施工造成的邻近既有电缆隧道的水平位移,计算结果与数值模拟结果吻合性良好。研究可为有邻近桩基施工时电缆隧道的扰动预测及保护提供参考。     

考虑土拱效应的悬臂式抗滑桩最大桩间距确定

合理桩间距的确定是抗滑桩设计的重要内容之一。认为抗滑桩的抗滑能力主要来自桩身迎荷面的阻滑能力和桩侧的阻滑能力这两个方面。在假定抗滑桩这两方面的阻滑能力均充分发挥的基础上,从桩侧摩阻力与桩后土拱极限剪切作用厚度范围内的摩阻力与拱后滑坡推力之间的静力平衡条件出发,基于Mohr-Coulomb强度准则,简化摩阻力的分布形式,建立悬臂式抗滑桩桩间距的计算公式。在此基础上,进一步研究了滑坡体的黏聚力、滑坡推力及抗滑桩的截面尺寸等因素对桩间距的影响。参数分析结果表明：桩侧阻滑能力在整个抗滑桩的抗滑能力中占有重要比例,且主要受桩侧面宽度控制;滑坡土体的黏聚力、内摩擦角,桩截面宽度等因素对抗滑桩最大桩间距具有较大程度影响。     

黏土中自升式钻井船插桩对邻近桩基影响的分析方法

自升式钻井船是广泛用于浅、中水域油气资源开发的重要设施,经常紧邻固定式导管架平台进行作业。钻井船插桩就位过程中大量土体被排开,挤土效应会导致邻近导管架平台桩基承受很大的附加荷载,影响平台的正常设计性能,该效应在黏土中尤为显著。针对黏土中钻井船插桩对邻近桩基的影响这一实际问题,现有规范和分析方法存在明显不足。为此,建立了一套数值分析方法,把这一复杂问题分解成相对独立、简单的两个方面进行分析：一是采用任意拉格朗日-欧拉（ALE）数值方法,计算自由场地插桩周围土体产生的位移场;二是利用桩基水平力与位移关系曲线,即P-Y曲线,采用杆系-土弹簧的传统方法计算土体位移产生的桩体加载。通过与已有离心试验数据的比较,验证了该方法的可靠性和适用性。研究揭示了自由场地土体的变形模式和流动机制,阐明了由于插桩邻近桩基产生的附加荷载变化规律,特别是发现了黏土变形参数 对插桩引起的自由场地土体位移场有显著影响,但对插桩引起的桩基加载影响较小。最后,针对导管架对桩基的桩头约束条件和插桩及导管架自身对桩基的线性叠加加载适用性问题给出了详细说明。     

基于透明土的静压楔形桩沉桩效应模型试验研究

楔形桩是一种可以有效提高桩侧摩阻力的纵向变截面异形桩,然而针对该变截面桩沉桩效应特性方面的研究却相对较少。基于透明土材料和粒子图像测速技术（简称PIV）,开展静压楔形桩沉桩模型试验,测得沉桩过程中桩周土体的位移场变化规律;沉桩过程中桩周土体位移场由激光射入透明土材料,与透明土材料之间的相互作用产生的独特散斑场,通过CCD（charge-coupled device）电荷耦合元件相机成像处理而获得。同时进行了等截面桩的沉桩模型试验,并对等混凝土材料用量情况下楔形桩和等截面桩的沉桩效应进行对比分析。最后,将此试验结果与基于常规试验手段的静压楔形桩沉桩模型试验和圆孔扩张理论计算结果进行对比分析,验证了基于透明土材料的静压楔形桩沉桩模型试验的准确性和可靠性。研究结果表明,基于透明土材料和PIV技术可以有效地开展静压楔形桩沉桩模型试验研究;楔形桩静压施工过程中对桩周土的影响范围约为等混凝土用量等截面桩的1.2倍。     

考虑沉桩效应的群桩非线性荷载-沉降解析

考虑沉桩效应对桩周土体力学特性的影响,采用指数函数型荷载传递曲线分别建立了静压桩的桩侧和桩端荷载传递模型。在此基础上,根据群桩加载过程中桩周土体的变形模式,基于荷载传递法描述桩-土界面的非线性行为,采用剪切位移法考虑群桩之间的相互作用,提出了考虑沉桩效应的群桩非线性荷载-沉降混合计算方法。通过开展离心模型试验对该计算方法解答进行了验证,研究了沉桩效应和桩-土界面非线性特征对群桩承载特性的影响。研究结果表明,沉桩效应对桩周土体起到挤密作用,使得桩周土体的强度和刚度增大,从而提高了群桩的承载特性。群桩加载过程中桩-土界面刚度随沉降变形而逐渐减小,使得群桩荷载-沉降曲线呈现出明显的非线性特征。     

Skin friction features of drilled CIP piles in sand from pile segment analysis

Numerical pile segment analysis is conducted in this study with an advanced soil model to investigate the skin friction behaviour of a drilled Cast‐In‐Place (CIP) pile installed in sand. Although the interface between the sand and pile is considered rough, thin elements adjacent to the pile are used to include effects of localized shear. Unit weights of fluid concrete and accompanied changes in stress are considered as the effects of pile installation. Changes in effective stresses are the most prominent effect due to pile installation with a change in direction of the major principal stress from the vertical to the radial direction. Shear behaviour of the sand at the interface during the early shear stage is related to the contractive tendency of the sand at small strain levels. Changes in the stress field around the pile with little changes in volumetric strain take place during the early shear stage. Stress redistributions during the early shear stage depend on the direction of the major principal stress before shear. Results of the pile segment analyses for drilled CIP piles show good agreement with design methods. Parametric studies are used to characterize the effects of sand density and pile diameter on the skin friction behaviour of drilled CIP piles. Copyright © 2007 John Wiley & Sons, Ltd.     

Beam–solid contact formulation for finite element analysis of pile–soil interaction with arbitrary discretization

This paper presents an embedded beam formulation for discretization independent finite element (FE) analyses of interactions between pile foundations or rock anchors and the surrounding soil in geotechnical and tunneling engineering. Piles are represented by means of finite beam elements embedded within FEs for the soil represented by 3D solid elements. The proposed formulation allows consideration of piles and pile groups with arbitrary orientation independently from the FE discretization of the surrounding soil. The interface behavior between piles and the surrounding soil is represented numerically by means of a contact formulation considering skin friction as well as pile tip resistance. The pile–soil interaction along the pile skin is considered by means of a 3D frictional point‐to‐point contact formulation using the integration points of the beam elements and reference points arbitrarily located within the solid elements as control points. The ability of the proposed embedded pile model to represent groups of piles objected to combined axial and shear loading and their interactions with the surrounding soil is demonstrated by selected benchmark examples. The pile model is applied to the numerical simulation of shield driven tunnel construction in the vicinity of an existing building resting upon pile foundation to demonstrate the performance of the proposed model in complex simulation environments. Copyright © 2014 John Wiley & Sons, Ltd.     

Three dimensional elasto‐plastic interface for embedded beam elements with interaction surface for the analysis of lateral loading of piles

This paper presents a numerical formulation for a three dimensional elasto‐plastic interface, which can be coupled with an embedded beam element in order to model its non‐linear interaction with the surrounding solid medium. The formulation is herein implemented for lateral loading of piles but is able to represent soil‐pile interaction phenomena in a general manner for different types of loading conditions or ground movements. The interface is formulated in order to capture localized material plasticity in the soil surrounding the pile within the range of small to moderate lateral displacements. The interface is formulated following two different approaches: (i) in terms of beam degrees of freedoms; and (ii) considering the displacement field of the solid domain. Each of these alternatives has its own advantages and shortcomings, which are discussed in this paper. The paper presents a comparison of the results obtained by means of the present formulation and by other well‐established analysis methods and test results published in the literature. Copyright © 2016 John Wiley & Sons, Ltd.     

基坑开挖时邻近桩基性状的数值分析

基坑开挖时尤为关注的问题是土体侧向移动对邻近桩基的不利影响,土体的侧向移动使邻近桩基产生侧向位移和附加应力及弯矩,甚至可能使上部建筑物功能失效。采用土工有限元软件Plaxis 8.2对内支撑排桩支护基坑开挖过程进行数值模拟,分析了基坑开挖时对邻近桩基的各种影响因素,包括单排桩、双排桩在不同开挖深度、支护桩的刚度、桩基刚度、桩基距基坑开挖面距离、桩身的约束和桩长条件下桩身水平位移和弯矩的变化特性。     

隧道开挖对桩基工程影响的数值分析

隧道开挖对邻近桩基工程影响的问题引起了国内外诸多学者关注。在概述目前研究成果的基础上,探讨了采用有限差分数值模拟技术模拟建筑物桩基的方法以及参数取值问题,并就北京某地铁隧道近距离穿越某桩基工程进行了模拟,分析了隧道开挖施工而引起周围土体及桩基的变形特点。其结果可为地铁建设中预测地铁开挖对于周围环境的影响提供参考。     

A study of the effect of driving on pre‐bored piles

A finite element model for pile‐driving analysis is developed and used to investigate the behaviour of pre‐bored piles, which are then driven the last 1.25 or 2.25 m to their final design depth. The study was conducted for the case of saturated clays. The model traces the penetration of the pile into the soil and accommodates for large deformations. The non‐linear behaviour of the clay in this study is predicted using the bounding‐surface‐plasticity model, as applied to isotropic cohesive soils. The details of the 3‐D numerical modelling and computational schemes are presented. A significant difference was observed in the pile displacement during driving, and in the computed soil resistance at the pile tip, particularly at the earliest driving stages. No difference in soil resistance at the soil pile interface along the pile shaft was detected between the pre‐bored piles whether driven 1.25 or 2.25 m. Copyright © 2002 John Wiley & Sons, Ltd.     

盾构施工对桩基的影响及桩基近邻度划分

隧道盾构施工过程中因盾构对土体的扰动和盾构脱出而没有及时注浆或注浆量不够,通常会对隧道邻近的桩基造成影响,如桩基内力发生改变从而使桩基变形、移位等,影响了桩基的承载力和正常使用。正交试验是一种高效、快速的找出某种指标的主要和次要影响因素的方法。通过建立盾构施工过程中近邻桩基的弹塑性有限元模型,结合正交试验和方差分析,得到了盾构施工对近邻桩基的影响因素大小。结果表明,盾构隧道施工过程中对近邻桩基沉降影响大小的因素依次为：桩与隧道的距离、桩顶荷载、应力损失和土体物理力学性质;桩基在(2.5～3.0)D0（D0为隧道直径）以外,则桩基基本上不受盾构开挖的影响;桩顶沉降与桩顶原来的荷载相关性显著,桩顶荷载的大小反映了土体应力水平的高低。根据方差分析的显著性检验结果提出桩基近邻度的概念和计算公式,把盾构隧道周围的桩基分为非常近、近邻、远邻和非常远等4类桩,表明Ⅰ类桩和Ⅱ类桩受到盾构施工的影响较大,施工前应对桩基采取必要的保护和加固措施,Ⅲ类桩视情况进行处理,Ⅳ类桩一般不需要处理。