Bearing strength surface for bridge caisson foundations in frictional soil under combined loading

The problem of estimating the bearing capacity of massive caisson foundations in frictional soil under combined vertical (N), horizontal (Q) and moment (M) loading is examined numerically by means of three-dimensional finite element analyses. The analysis is performed with due consideration to the foundation’s depth-to-width ratio (D/B), the magnitude of the vertical load and the caisson-soil contact interface conditions. The constitutive law for soil behavior is appropriately validated against experimental results from 1-g small-scale tests, available in the literature. The ultimate limit states are presented in the form of a bearing strength surface in dimensionless and normalized form, while detailed discussion is provided on the physical and geometrical interpretation of the kinematic mechanisms that accompany failure. A generalized closed-form expression for the failure envelope in M–Q–N space is then fitted to the numerical results with use of an appropriately trained artificial neural network. An upper-bound limit equilibrium solution for a certain failure mechanism (designated as the “sliding” mechanism) associated with maximum horizontal bearing capacity is also developed for verification purposes. One of the originalities of the paper lies with respect to the post-failure response of the caissons, where it is shown that the incremental displacement vector is accurately reproduced by assuming normality on the bearing strength surface irrespective of the considered plastic flow rule (associative or non-associative) at the microscale (soil element).     

复合加载条件下沉箱基础稳定性的三维效应

联合采用swipe加载模式与固定位移比加载模式,对于吸力式沉箱基础在水平荷载H与力矩M的复合加载条件下的稳定性进行比较系统的三维有限元分析,主要探讨了基础埋深与直径之比、地基土不排水强度的非均质性对于基础在H-M荷载空间内的破坏包络轨迹的影响,揭示了地基在不同荷载分量组合条件下的失稳破坏机制,并与平面应变假定下得到的结果进行了比较。计算结果表明：平面应变与三维情况下基础的破坏包络面形状有较大差异,分析基础稳定性时,必须考虑其三维效应。在三维情况下,非均质土中埋深与直径之比较小的基础的破坏包络面仍然会向负方向倾斜,已有的包络面方程明显高估这种情况下沉箱基础在正向水平荷载与力矩联合作用下的承载力,从而导致基础设计偏于不安全。     

Numerical modelling of a hybrid skirted foundation under combined loading

Offshore foundations are subject to combinations of vertical, horizontal and moment (VHM) loading. Different foundation solutions are appropriate, depending amongst others, on the expected load combinations. This paper investigates in detail the soil failure mechanisms and resulting foundation capacity under undrained VHM loading of a hybrid foundation concept. Comprising of a skirted mat combined with an internal caisson compartment, this foundation design is found to provide significantly increased horizontal capacity that is often critical in offshore applications, with key influences for increased moment capacity identified as well. The numerical study investigated both variations in the geometry of the internal caisson compartment and the soil shear strength profile. The paper concludes by proposing expressions that allow slightly conservative prediction of the combined capacity of a hybrid foundation.     

Failure envelopes and plastic potentials for eccentrically loaded surface footings on undrained soil

The failure envelope in V–M space for surface foundations on undrained material under eccentric loading can be determined using an extended version of the scaling (or effective area) concept of Meyerhof. A similar displacement transformation allows production of the plastic potential. The two‐dimensional finite element analyses of fully attached foundations subject to combined vertical (V) and moment (M) loading have been used to calculate appropriate scaling points for deduction of the failure envelope and plastic potential. Failure envelopes and plastic potentials are presented for footings on uniform and non‐uniform undrained material and it is seen that the equivalent ‘critical state’ or ‘parallel point’ lies slightly beneath the peak moment capacity. For accurate prediction of failure envelopes for footings on non‐uniform strength soil, consideration must be made of the apparent reduction of the soil heterogeneity as the area of footing in contact with the soil decreases. Copyright © 2001 John Wiley & Sons, Ltd.     

吸力式沉箱基础极限拉拔承载力的数值分析

作为新型的深水海洋基础型式,吸力式沉箱基础被广泛地用于系泊深水海洋设施中,从而承受巨大的倾斜上拔荷载。在上拔荷载水平分量与竖向分量的共同作用下,吸力式沉箱的承载特性及其工作性能评价是海洋工程设计与建设中的关键技术问题之一。然而现有的理论分析与试验研究并不能满足工程实践的需要,因此,对吸力式沉箱基础的极限承载力分析建立了有限元数值计算方法。当沉箱基础在快速拔出过程中,正常固结黏土处于完全不排水状态,沉箱基础发生整体破坏时表现出反向地基承载力失稳模式,此时沉箱基础所发挥的极限承载能力往往最大。为此,在数值计算中直接假定沉箱基础及其周围土体处于完全不排水状态,针对不同的沉箱长径比,分别确定了在竖向上拔荷载和水平拉拔的单独作用下沉箱基础极限承载力。对比发现：竖向上拔极限承载力有限元解能够较好地与理论计算结果相符合,而水平极限承载力解与理论计算结果存在一定的差异。     

力矩与水平荷载联合作用下裙板式基础破坏包络面研究

联合采用swipe加载模式、固定位移比与固定荷载比加载模式,对于裙板式浅基础在水平荷载与力矩荷载的复合加载条件下的承载性能进行比较系统的平面应变有限元分析,主要探讨了裙板式基础埋深、地基土不排水强度的非均质性对于基础破坏包络面的影响,揭示了地基在水平和力矩荷载的不同组合条件下的失稳破坏机制。同时,对于两种swipe加载模式的有效性进行了比较。计算结果表明：对于非均质土,当裙板式基础埋深与宽度之比大于0.3时,破坏包络面产生正方向倾斜;当埋深与宽度之比小于0.3时,基础的破坏包络面出现负方向倾斜。而在均质土中,基础的破坏包络面没有出现负方向倾斜。     

砂土中吸力式沉箱基础的最佳荷载作用点位置模型试验研究

通过一系列模型试验研究了倾斜荷载作用下吸力式沉箱基础的最佳作用点位置,试验中考虑了荷载作用点、荷载作用角度和长径比3个重要因素。基于模型试验得到的荷载-位移曲线,采用合适的破坏标准确定了各工况下吸力式沉箱基础的抗拔承载力,根据承载力的变化规律分析确定了吸力式沉箱基础的最佳作用点位置。结果表明,荷载作用角度对吸力式沉箱基础承载力的影响显著,当荷载水平作用于基础时,其承载力最大。荷载作用点位置对吸力式沉箱基础承载力的影响取决于荷载作用角度的大小,当荷载作用角度较小时,荷载作用点位置的影响显著,且最佳作用点位置位于沉箱高度的2/3～3/4处;当荷载作用角度较大时,荷载作用点位置的影响很小,可以忽略。结合荷载与吸力式沉箱基础的转角关系,分析了荷载水平作用于最佳作用点下吸力式沉箱基础的破坏模式。     

黏土中桶式基础的宏单元模拟

本研究旨在对黏土中的桶式基础进行从完整的有限元分析到简化的宏单元的建模。首先通过有限元方法分析了在不同单调组合荷载作用下的黏土中吸力桶基础。为保证模拟结果的可靠性,采用了硬化土模型（HS）对正常固结黏土地基进行模拟。通过对比离心试验验证了使用HS模型的有限元分析的有效性,并通过径向位移试验进一步延伸到V-H-M（竖向力-水平力-弯矩）空间的破坏模式研究,并在此基础上,提出了的V-H-M空间三维破坏包络面公式。接着,应用此三维破坏包络面公式,采用亚塑性框架提出了黏土中桶式基础的宏单元设计模型。通过与试验结果的比较,验证了宏单元模型在模拟单调和循环荷载条件下桶式基础的强度与变形响应的有效性。所提的宏单元模型对于海洋岩土工程设计实践将很有帮助。     

Seismic analysis of laterally loaded pile under influence of vertical loading using finite element method

An efficient analytical approach using the finite element (FE) method, is proposed to calculate the bending moment and deflection response of a single pile under the combined influence of lateral and axial compressive loading during an earthquake, in both saturated and dry homogenous soil, and in a typical layered soil. Applying a pseudo-static method, seismic loads are calculated using the maximum horizontal acceleration (MHA) obtained from a seismic ground response analysis and a lateral load coefficient (a) for both liquefying and non-liquefying soils. It is observed that for a pile having l/d ratio 40 and embedded in dry dense sand, the normalized moment and displacement increase when the input motion becomes more severe, as expected. Further increasing of a from 0.1 to 0.3 leads to increase in the normalized moment and displacement from 0.033 to 0.042, and 0.009 to 0.035, respectively. The validity of the proposed FE based solution for estimating seismic response of pile is also assessed through dynamic centrifuge test results.     

非共面复合加载条件下桶形基础稳定性研究

采用荷载-位移联合搜索方法,对于饱和软黏土地基上裙板式桶形基础在水平荷载H、力矩M与扭矩T的非共面复合加载条件下的稳定性进行了比较系统的三维有限元分析,主要探讨了在不同荷载空间内桶形基础的破坏包络轨迹。在分析中,地基土服从基于Tresca屈服准则的理想弹塑性本构关系。计算结果表明,与传统共面复合加载情况相比,非共面复合加载条件下桶形基础的破坏包络面形状有较大差异。非共面复合加载情况下,包络面形状不依赖于基础埋深比,可用简单的圆或椭圆方程进行描述。根据有限元计算结果,将已有的三自由度破坏包络面方程扩展到六自由度复合加载空间内,进而初步建议了一个六自由度破坏包络面方程,并对于实际工程中常用的桶形基础埋深比,给出了方程中偏心度参数取值的确定方法。该方程可用来合理评价复杂荷载条件下软黏土地基上桶形基础承载力。     

Numerical study of the 3D failure envelope of a single pile in sand

The paper presents a comprehensive study of the failure envelope (or capacity diagram) of a single elastic pile in sand. The behavior of a pile subjected to different load combinations is simulated using a large number of finite element numerical calculations. The sand is modeled using a constitutive law based on hypoplasticity. In order to find the failure envelope in the three-dimensional space (i.e. horizontal force H, bending moment M and vertical force V), the radial displacement method and swipe tests are numerically performed. It is found that with increasing vertical load the horizontal bearing capacity of the pile decreases. Furthermore, the presence of bending moment on the pile head significantly influences the horizontal bearing capacity and the capacity diagram in the H–M plane manifests an inclined elliptical shape. An analytical equation providing good agreement with the 3D numerical results is finally proposed. The formula is useful for design purposes and the development of simplified modeling numerical strategies such as macro-element.     

FLAC Based Numerical Studies on Dynamic Interference of Two Nearby Embedded Machine Foundations

This paper emphasizes on the dynamic interaction of two closely spaced embedded square or rectangular foundations under the action of machine vibration. One of the foundations is excited with a known vibration source placed on the top of it, called the active foundation. The objective is to study the effect of dynamic motion of the active foundation on the nearby passive foundation through a layered soil medium. The analysis is performed numerically by using the explicit finite difference code FLAC ^3D . The soil profile is assumed to obey the Mohr–Coulomb yield criteria with non-linear failure envelope. The analysis is performed under sinusoidal dynamic loading with varying amplitude. Under the dynamic excitation, the settlement behavior of the interacting foundations is studied by varying the spacing between the foundations. In addition, the variation of vertical normal and shear stress developed beneath the interacting foundations is also explored. The present theoretical investigation indicates that the settlement and vertical normal stress below the active foundation is generally found to be higher than that obtained for the passive foundation, whereas the shear stress response below the foundations follows the reverse trend.     

Undrained capacity of a surface circular foundation under fully three-dimensional loading

Circular foundations are widely employed in offshore engineering to support facilities and are generally subjected to fully three-dimensional loading due to the harsh offshore environmental load and complex operational loads. The undrained capacity of surface circular foundations on soil with varying strength profiles and under fully three-dimensional loading is investigated and presented in the form of failure envelopes that obtained from finite element analyses. The combined ultimate limit state of circular foundations is defined as the two-dimensional failure envelopes in resultant H-M loading space accounting for the vertical load and torsion mobilisation. The effects of vertical load and torsion mobilisation, soil shear strength heterogeneity and loading angle from moment to horizontal load on the shape of normalised H-M failure envelopes are explored. A series of expressions are proposed to describe the shape of failure envelopes obtained numerically, enabling essentially instantaneous generation of failure envelopes and optimisation of a circular foundation design based on constraint of any input variable through implementation in an automated calculation tool. An example application is ultimately provided to illustrate how the proposed expressions may be used in practice.     

Experimental research on horizontal bearing behavior of caisson-pile composite foundationEI北大核心CSCD

In this study, four groups of different types of bridge foundation model are tested to research the horizontal bearing behavior of caisson-pile composite foundation in lab based on the Qiongzhou Strait bridge project. The Q-s curve and horizontal ultimate bearing capacity of these four groups of foundations in sandy soil layer are obtained. Pile bending moment and shear force of pile shaft are analyzed in detail. At the same time, the load sharing ratio of caisson and piles is discussed. The results show that the horizontal ultimate bearing capacities of a single caisson foundation are increased by 1.2 times, 1.6 times and 2 times respectively with adding skirts, steel pipe pile, or steel pipe pile and the skirt. The maximum bending moment point is in the middle of the pile shaft, i.e. at about 0.5 m under the mud surface. The horizontal load is borne mainly by the upper caisson foundation and soil layers above the middle upper part of pile. The maximum shear force is found at the joint of pile top of steel pipe and caisson pile, where the reinforcement measures should be taken in practical engineering. The research achievements could provide a better reference for design or construction of caisson-pile composite foundation.     

带桩沉箱复合基础水平向承载性状模型试验研究

以琼州海峡跨海大桥工程为背景,通过4组不同型式深水桥梁基础模型试验,对新型带桩沉箱复合基础的水平向承载性能进行了初步研究。试验得到了4组模型在砂性土层中的Q-s曲线及水平向极限承载力,并对复合基础在各级水平荷载下的桩身弯矩和剪力进行了详细分析,同时对沉箱-桩荷载分担比展开了讨论。试验结果表明：当增加裙边、钢管桩、或同时增加钢管桩和裙边后能够使单体沉箱基础的水平向极限承载力分别提高1.2倍、1.6倍和2.0倍;桩身最大弯矩点均出现在桩身中部即泥面下约0.5 m处。水平荷载主要由上部沉箱基础及桩身中上部土体承担,钢管桩桩顶与沉箱连接部位出现最大剪力,在实际工程中应在此处采取加固措施。研究成果可为这一新型深水桥梁基础的推广应用提供诸多有益参考。     

粉质黏土中沉箱-桩复合基础水平向承载性能试验研究

为进一步研究沉箱-桩复合基础的水平向承载性能,开展粉质黏土中单桩、沉箱-桩复合基础在水平向荷载和竖向及水平向组合荷载作用下的系列试验,对沉箱-桩复合基础的水平荷载与位移关系、桩身弯矩、位移及土抗力分布规律及群桩效应等进行了研究。结果表明,在水平荷载作用下沉箱对桩顶的约束使桩身弯矩分布较桩顶自由情况要更均匀,并能有效地降低桩身弯矩、位移及土抗力,提高了基础水平承载能力;在同时作用有竖向和水平向组合荷载时,沉箱底摩擦力参与抵抗水平力作用、桩顶竖向力也有利于进一步提高基础水平承载力;试验获得了不同桩数、桩顶约束、荷载作用条件下的沉箱-桩复合基础群桩效应系数,对于桩距为6倍桩径的情况,桩与桩之间的相互影响很小。     

软土中吸力式桶形基础倾覆承载性能离心模型试验

输电杆塔和风电机组基础主要承受上部结构倾覆弯矩荷载,倾覆承载性能是该类基础设计中的关键问题。针对饱和软黏土地基中的杆式结构桶形基础,通过开展位移控制循环加载、位移维持加载、力控制循环加载和单调静力加载离心模型试验,研究其倾覆承载能力。试验发现,当桶形基础达到极限承载力时其转动中心位置约在桶盖正下方0.8倍桶裙高度处;当循环倾覆弯矩幅值与极限抗弯承载力比值小于3/5时,桶形基础在循环过程中转角的累积难以持续增长,并逐渐趋于稳定;循环加载作用下土与结构相互作用刚度出现明显弱化,所获得的桶形基础循环弱化因子阈值约为0.15;位移维持加载的峰值荷载-位移曲线与单调静力加载的荷载-位移曲线较为一致,位移维持加载的谷值荷载-位移曲线对应的承载力较峰值荷载-位移曲线对应的承载力明显偏小,减少约30%～40%。     

竖向与水平复合加载下桶形基础承载性能的分析

在竖向和水平力共同作用的复合加载条件下地基承载性能及其破坏模式是吸力式桶形基础设计与施工中的关键技术问题。为此,以大型通用有限元分析软件系统ABAQUS为基础建立了桶形基础三维有限元计算模型,运用位移控制法确定了均质软黏土地基极限承载力系数与位移之间的归一化关系;采用Swipe试验加载方法,确定了桶形基础在竖向力与水平力平面上的地基破坏包络图,从极限分析上限方法的角度探讨了由数值计算所揭示的桶形基础破坏机制。     

Analysis of pile‐raft foundations under complex loads in layered soils

Considering there is hardly any concerted effort to analyze the pile‐raft foundations under complex loads (combined with vertical loads, horizontal loads and moments), an analysis method is proposed in this paper to estimate the responses of pile‐raft foundations which are subjected to vertical loads, horizontal loads and moments in layered soils based on solutions for stresses and displacements in layered elastic half space. Pile to pile, pile to soil surface, soil surface to pile and soil surface to soil surface interactions are key ingredients for calculating the responses of pile‐raft foundations accurately. Those interactions are fully taken into account to estimate the responses of pile‐raft foundations subject to vertical loads, horizontal loads and moments in layered soils. The constraints of the raft on vertical movements, horizontal movements and rotations of the piles as well as the constraints of the raft on vertical movements and horizontal movements of the soils are considered to reflect the coupled effect on the raft. The method is verified through comparisons with the published methods and FEM. Then, the method is adopted to investigate the influence of soil stratigraphy on pile responses. The study shows that it is necessary to consider the soil non‐homogeneity when estimating the responses of pile‐raft foundations in layered soils, especially when estimating the horizontal responses of pile‐raft foundations. The horizontal loads and the moments have a significant impact on vertical responses of piles in pile‐raft foundations, while vertical loads have little influence on horizontal responses of piles in pile‐raft foundations in the cases of small deformations. The proposed method can provide a simple and useful tool for engineering design. Copyright © 2013 John Wiley & Sons, Ltd.     

隧道开挖引起邻近单桩水平反应分析

隧道开挖会降低邻近桩基承载力,如何更为合理评价桩基水平附加响应是需要解决的问题。基于Pasternak双参数地基模型和三折线弹塑性荷载传递模型,采用两阶段分析法,并考虑侧向土体作用及地基土层的非均质特性,提出了更符合实际的单桩水平反应简化分析方法。通过与Winkler地基梁法及边界元法的对比分析,验证了方法的合理性。结合对单桩水平反应的多种影响因素进行参数分析,通过各因素相应的修正系数来对基准工况中单桩最大水平反应进行修正,得到计算工况中单桩的最大水平位移和最大弯矩。分析结果表明,桩基水平位移计算时可忽略侧向土体作用,而弯矩计算时应予以考虑;桩基计算工况的最大水平位移 最大弯矩 与平均地层损失比 呈现线性关系,而与隧道半径R、隧道轴线深度H、桩距隧道中心线距离x及桩身柔度系数 均呈现非线性关系。