轴力作用下液化土中端承桩的水平振动特性

将地震液化场地土层分为非液化表层土、中部的液化土层和底部的基层,基于饱和多孔介质理论和Novak薄层法,研究轴向压力作用下液化黏弹性土层中端承桩的水平动力特性。利用Helmholtz分解和变量分离法,得到液化土层对桩水平振动的阻抗。利用矩阵传递法,在频率域得到轴力作用下液化土层中端承桩简谐振动的解析解和桩头复刚度的表达式,并进行参数研究,分析轴力、桩-土模量比、桩长径比、液-固耦合系数等对桩头动力刚度和阻尼的影响。结果表明,在轴力作用下,不同长径比、桩-土模量比、液-固耦合系数时的动力刚度绝对值均比无轴力作用时减小,但随频率的变化趋势相同;轴力对桩水平振动的动力阻抗影响显著,随着轴力的增加,桩的水平振动动力刚度因子的绝对值减小,若轴力继续增大,其绝对值趋近于0,桩发生失稳破坏;桩长径比和桩土模量比对桩的水平振动动力阻抗有显著的影响,而液-固耦合系数的影响较小。     

Modeling of Beams on Reinforced Granular Beds

The paper describes a mechanical model for estimating the flexural response of a strip footing, supporting a column (imposing a concentrated load), resting on a compacted granular bed overlying a reinforcement layer for example, geogrids, geomats etc. below which lies a loose soil deposit. The footing is idealized as a beam and the reinforcing element is assumed to have finite bending stiffness and negligible frictional resistance. The upper and lower soil layers are idealized by a series of linear and discrete springs (Winkler springs) of different stiffness values. To find the response of such a model the governing differential equations have been derived and expressed in a nondimensional form. A closed form analytical solution of the same has been obtained subjected to appropriate boundary conditions. Using the present approach the resulting solution for a degenerated case of a long beam is found to be identical to the same of Hetenyi (1946, Beams on elastic foundations, University of Michigan press, Ann Arbor, MI). Parametric studies reveal that the ratio of flexural rigidity of upper and lower beam and the ratio of stiffness of the upper and lower soil layers affect significantly the response of the foundation.     

Numerical Study of Behavior of Circular Footing on Geogrid-Reinforced Sand Under Static and Dynamic Loading

A series of axi-symmetry models using finite element analyses were performed to investigate the behavior of circular footings over reinforced sand under static and dynamic loading. Geogrid was modeled as an elastic element and the soil was modeled using hardening soil model which use an elasto-plastic hyperbolic stress–strain relation. Several parameters including number of geogrid layers, depth to the first geogrid layer, spacing between layers and load amplitude of dynamic loading are selected in this paper to investigate the influence of these parameters on the performance of reinforced systems under both static and dynamic loads. The numerical studies demonstrated that the presence of geogrid in sand makes the relationship between contact pressure and settlement of reinforced system nearly linear until reaching the failure stage. The rate of footing settlement decreases as the number of loading cycles increases and the optimum values of the depth of first geogrid layer and spacing between layers is found 20% of the footing diameter. Some significant observations on the performance of footing-geogrid systems with change of the values of parametric study are presented in this paper.     

上拔扩底基础与地基土体承载特性差异性分析

工程中多采用基础上拔静载试验中基础顶部荷载-位移曲线获取基础的承载力,忽略了基础周围土体的变形破坏过程,而实际工程中均是基础周围地基土体发生破坏。为研究扩底基础与其周围土体在抗拔承载特性方面的差异,以黄土地基中的9个扩底基础为研究对象,通过现场全尺寸基础的上拔静载试验,分别获得基础顶部与地表的上拔荷载-位移曲线,并进一步对基顶与地表处的荷载-位移曲线变化特征、抗拔承载力取值进行对比分析。结果表明,两处的荷载-位移曲线变化特征相似,相同上拔荷载作用下地表处的位移量均小于基础处位移量,差异以初始弹性阶段变形最为突出;两者在弹性极限荷载QL1取值方面,相差较大,但随着地基基础由弹性向塑性发展,差异逐渐减小,两者塑性极限荷载QL2取值基本相同。结合上拔扩底基础的破坏模式,分析出上述差异主要由于基础与周围土体之间变形不协调所致,加载初期基础顶部的上拔位移包括基础拔出量和上部土体压缩量,当上部土体压密后压缩变形消失,地基基础成为一个整体,上拔基础与周围土体的变形趋于协调。     

Dynamic Response of Footing and Machine with Spring Mounting Base

The effect of the spring mounting cushion inserted in between a machine base and its concrete footing has been examined experimentally by conducting a number of block vibrations tests. The machine was subjected to steady state vertical harmonic loading. Experiments were performed with two different stiffness values of the spring mounting cushion. The employment of the spring mounting cushion, with the stiffness much smaller than that of soil strata, offers a drastic reduction in the resonant displacement amplitudes of the footing. It also results in a significant decrease in the resonant frequency of the foundation. The resonant displacement amplitudes of both the footing and the machine were found to become lower with the smaller stiffness value of the springs. The resonant frequency for the machine base, in all the experiments, was found to be invariably the same as that of the footing.     

裂隙刚度随应力变化对双重孔隙介质热-水-应力耦合影响的有限元分析

引入并修正了变刚度的连续屈服节理模型,同时考虑应力拉压和压力（化学）溶解对裂隙开度的综合影响,对所建立的双重孔隙-裂隙介质热-水-应力耦合有限元计算程序作了改进。通过一个假定的高放废物地质处置库的数值模拟,就岩体裂隙刚度变化的2种工况,分析了岩体中的温度、裂隙刚度、正应力、孔（裂）隙水压力和地下水流速的变化、分布情况。结果显示：与裂隙刚度是常数时相比,裂隙刚度是法向应力的函数时计算域中温度较低;岩体应力的大小也有一定不同,其分布与裂隙刚度“场”有明显的相似性;并且负孔（裂）隙水压力的绝对值要略小一点,约是常数时的98%。     

Effect of interface characteristics on the influence coefficients of an embedded circular footing under horizontal and moment loading

By means of a semi-analytical FE approach an embedded circular footing under monotonic horizontal and moment loading is studied. In a non-homogeneous soil whose shear modulus is characterized by a power law variation with depth, horizontal, rocking and coupled modes of displacement, expressed in terms of influence factors are thoroughly examined. The exponent α that controls the shape of the stiffness variation with depth is termed shear modulus factor. Surface influence coefficients are considered for the situations where the interface between the soil and the footing is either perfectly rough or perfectly smooth. First, results of semi-analytical FE analysis in the case of rough footing are established and compared with those of another numerical method. Results of comparison show good agreement. Then, for different values of α the surface influence coefficients are presented for an embedded footing in perfect smooth contact with soil. The metacentre is referred to as the depth at which there is no coupling between the sliding and the rocking modes of footing deformations. Expressions for location and horizontal influence coefficient corresponding to this particular depth are developed and their variations with α examined. The paper finishes by showing the effect of interface conditions on the soil normal stresses developed beneath the embedded circular footing for the case of loading applied at the footing top.     

Bearing Capacity Factors of Ring Footings by Using the Method of Characteristics

Ring footings can be more effective and economical than circular footings. In spite of similarities between circular and ring footings, their behaviors are different in some respects such as bearing pressure distribution under the footing and settlement. But no exclusive theoretical prediction of ultimate bearing capacity has been reported for ring footings. In the present study, stress characteristics method is employed for coding the bearing capacity of ring footing with horizontal ground surface. In the calculations, friction at the contact between the soil and foundation is considered. In this research, the soil obeys the Mohr–Coulomb yield criterion and that is cohesive–frictional-weighted with applied surcharge pressure. The bearing capacity factors Nγ, Nq and Nc for ring footings were calculated by a written code based on the method of characteristics. Bearing capacity was determined for different conditions of soil and different ratio of radii in comparison with the principle of superposition results. The findings show that the principle of superposition is effective for determining the bearing capacity of a ring footing.     

Bearing capacity computation for a ring foundation using the stress characteristics method

The stress characteristics method (SCM) has been used to compute the bearing capacity of smooth and rough ring foundations. Two different failure mechanisms for a smooth footing, and four different mechanisms for a rough footing have been considered. For a rough base, a curvilinear non-plastic wedge has been employed below the footing. The analysis incorporates the stress singularities at the inner as well as outer edges of the ring footing. Bearing capacity factors, N_c, N_q and N_γ are presented as a function of soil internal friction angle (ϕ) and the ratio (r_i/r_o) of inner to outer radii of the footing.     

Experimental and Numerical Study of Strip Footing Supported on Stabilized Sand Slope

The paper presents the results of laboratory model tests and theoretical analysis on the behavior of a strip footing supported on sheet pile wall-stabilized sandy slope and loaded vertically to failure. The parameters varied in the study include the height, stiffness and location of the sheet pile wall, the location of the footing relative to the slope crest and the relative density of sand. Two-dimensional plane strain finite element analyses was used to analyze a prototype strip footing on sandy slope with same conditions. The results indicate that the inclusion of sheet pile wall has significant effect in improving the response of the strip footing and the slope itself. The theoretical results confirm the experimental results of the model footing tests and show reasonable agreement. Based on the numerical and experimental results, critical values of the sheet pile wall parameters for maximum stabilizing effect are established.     

大断面宽幅盾构管片三维内力分布分析

以武汉长江隧道工程为例,采用三维壳-弹簧计算模型,对不同幅宽和不同环间接头剪切刚度的管片衬砌结构力学分布进行了分析,并与梁-弹簧模型结果在量值上做了全面比较。研究表明,全环最大弯矩发生在幅宽边缘部位;环间接头剪力对幅宽边缘影响较大,而对幅宽中央影响偏小;当环间接头剪切刚度为非无穷大时,壳模型的幅宽边缘最大弯矩值略微大于梁弹簧模型相应结果,而当无穷大时两者数值则基本相等;壳模型的幅宽中央的最大弯矩值介于梁模型错缝与通缝拼装的数值之间,并随幅宽加大而趋于接近通缝拼装的结果;大幅宽条件下,不宜将梁-弹簧模型的环间最大剪力结果作为环间接头抗剪设计的计算依据。     

应力腐蚀和压力溶解引起的裂隙开度-刚度变化对THMM耦合过程影响的数值模拟

在使用Yasuhara等建立的裂隙开度的应力腐蚀和压力溶解模型的基础上,考虑裂隙闭合量对裂隙刚度的影响,针对一个假设的位于非饱和双重孔隙-裂隙岩体中且有核素泄漏的高放废物地质处置模型,拟定两种计算工况：（1）裂隙的刚度系数是裂隙闭合量的线性函数;（2）裂隙刚度为常数,进行热-水-应力-迁移耦合的二维有限元数值模拟,考察了岩体中的温度、裂隙开度的闭合速率、闭合量、孔（裂）隙水压力、地下水流速、核素浓度、裂隙刚度和正应力的变化、分布等情况。结果表明,两种工况岩体中的温度场、孔（裂）隙水压力、地下水流速、核素浓度无明显差别;裂隙闭合基本由应力腐蚀产生;在相同计算时间内两种工况的裂隙闭合量较为接近,工况1略大;工况1中离玻璃固化体越近,裂隙刚度值越高,并且在玻璃固化体附近的应力值较大,且集中程度较高。     

Inclined single piles under vertical loadings in cohesionless soil

Physical-scaled model testing under 1 g conditions is carried out in obtaining the vertical response of fixed head floating-inclined single piles embedded in dry sand. Practical pile inclinations of 5° and 10° besides a vertical pile (0°) subjected to static and dynamic vertical pile head loadings are considered. To account for the effects of soil nonlinearity as well as the soil–pile interface nonlinearity on the response of piles, a range of low-to-high magnitude of pile head displacements is considered for the static case while a varying amplitude of harmonic accelerations for a wide range of frequencies is considered for the dynamic case. Experimental results are obtained in the form of pile head stiffnesses and strains generated in the pile under both the static and dynamic loadings. Results suggest that the nonlinear behavior of soil as well as the nonlinearity generated at the interface between the soil and the pile as the result of applied loading considerably affect the response of piles. The soil–pile interface nonlinearity that governs the slippage of pile shows a clear influence on the pile head stiffnesses by providing two distinct values of stiffnesses corresponding to the push and the pull directional movement of piles; the two values are significantly different. Axial and bending strains generated in the piles show expected dependency on the amplitude of applied loading; the pile head-level bending strain increases almost linearly with the increase in the angle of pile inclination.

     

Longitudinal variability of soils and structural response of sewer networks

A simple model which describes the soil–pipe interaction and accounts for the longitudinal soil variation has been developed. It is used for the analysis of the static response of a section of a buried sewer. A probabilistic analysis (Monte-Carlo method) enabling to quantify the influence of spatial variability of the geomechanical characteristics of the soil makes possible to study the parameters which can influence and drive the longitudinal response of a section of sewer. The system response is complex, soil–structure interaction depending on three different stiffnesses: soil stiffness, pipe components stiffness and joints stiffness. Various analyses have been performed to identify the parameters whose influence is the larger. A specific attention has been devoted to the fluctuation scale of the soil properties and to the stiffness of joints.     

Importance of footing–soil separation on dynamic stiffness of piled embedded footings

Different phenomena such as soil consolidation, erosion, and scour beneath an embedded footing supported on piles may lead to loss of contact between soil and the pile cap underside. The importance of this separation on the dynamic stiffness and damping of the foundation is assessed in this work. To this end, a numerical parametric analysis in the frequency domain is performed using a rigorous three‐dimensional elastodynamic boundary element–finite element coupling scheme. Dimensionless plots relating dynamic stiffness functions computed with and without separation effects are presented for different pile–soil configurations. Vertical, horizontal and rocking modes of oscillation are analyzed for a wide range of dimensionless frequencies. It is shown that the importance of separation is negligible for frequencies below those for which dynamic pile group effects start to become apparent. Redistribution of stiffness contributions between piles and footing is also addressed. Copyright © 2009 John Wiley & Sons, Ltd.     

基坑开挖对邻近不同刚度建筑物影响的三维有限元分析

受各种因素的影响,基坑邻近建筑物的刚度差异显著。为了解基坑开挖对邻近不同刚度建筑物的影响,在考虑土体小应变刚度行为的基础上,对基坑邻近不同刚度建筑物的变形展开精细化分析。算例结果表明:对于任意刚度的建筑物,当其跨越坑外沉降槽最低点以及上凸曲率最大点时,墙体所产生的拉应变最为显著,即此时对于任意刚度的建筑物来说,均为最为不利位置。随着建筑物刚度的增大,墙体挠度值与拉应变值呈对数曲线下降。当建筑物整体刚度较差时,其墙体拉应变更主要取决于坑外沉降幅度,而受自身刚度影响较小。当建筑物刚度较大时,在基坑变形的影响下,建筑物更主要表现为刚体运动,而自身内部变形则相对较小。     

复杂条件下隧道断面形状和支护参数优化

通过有限差分法（FLAC3D）数值计算和现场试验对马蹄形断面和大曲率边墙、似圆形断面形式下隧道的支护受力和围岩变形特征进行了对比分析,得出采用似圆形断面可以有效地控制围岩的变形量和变形速率,尤其是水平收敛变形;现场变形量测时的丢失位移所占总位移比例较大,其中下台阶丢失位移比例最大;通过现场试验,对不同支护刚度下围岩压力、锚杆受力、钢架、混凝土应力以及二次衬砌分担的围岩压力和模筑混凝土受力情况进行分析,结合洞室变形的现场量测,得出二次衬砌接触压力及分担围岩压力比呈现出随着初支刚度增大而增大的规律,并综合确定了板岩段合理的支护参数。该结论对在构造应力发育的软岩地区修筑隧道提供了有益的工程经验     

Interference effect of two nearby strip footings on layered soil: theory of elasticity approach

In recent times, rapid urbanisation coupled with scarcity of land forces several structures to come up ever closer to each other, which may sometime cause severe damage to the structures from both strength and serviceability point of view, and therefore, a need is felt to devise simplified methods to capture the effect of footing interference. In the present study, an attempt has been made to model the settlement behaviour of two strip footings placed in close spacing on layered soil deposit consisting of a strong top layer underlying a weak bottom layer. Theory of elasticity is employed to derive the governing differential equations and subsequently solved by the finite difference method. The perfectly rough strip footings are considered to be resting on the surface of two-layer soil system, and the soil is assumed to behave as linear elastic material under a range of static foundation load. The effect of various parameters such as the elastic moduli and thickness of two layers, clear spacing between the footings and footing load on the settlement behaviour of closely spaced footings has been determined. The variation of vertical normal stress at the interface of two different soil layers as well as at the base of the failure domain also forms an important part of this study. The results are presented in terms of settlement ratio (ξ_δ), and their variation is obtained with the change in clear spacing between two footings. The present theoretical investigation indicates that the settlement of closely spaced footings is found to be higher than that of single isolated footing, which further reduces with increase in the spacing between the footings.     

Laboratory Estimation of Rock Joint Stiffness and Frictional Parameters

Numerical modeling of complex rock engineering problems involves the use of various input parameters which control usefulness of the output results. Hence, it is of utmost importance to select the right range of input physical and mechanical parameters based on laboratory or field estimation, and engineering judgment. Joint normal and shear stiffnesses are two popular input parameters to describe discontinuities in rock, which do not have specific guidelines for their estimation in literature. This study attempts to provide simple methods to estimate joint normal and shear stiffnesses in the laboratory using the uniaxial compression and small-scale direct shear tests. Samples have been prepared using rocks procured from different depths, geographical locations and formations. The study uses a mixture of relatively smooth natural joints and saw-cut joints in the various rock samples tested. The results indicate acceptable levels of uncertainty in the calculation of the stiffness parameters and provide a database of good first estimates and empirical relations which can be used for calculating values for joint stiffnesses when laboratory estimation is not possible. Joint basic friction angles have also been estimated as by-products in the small scale direct shear tests.     

悬浮桩水平振动的动力刚度

通过将悬浮桩截面下土体等效为土桩,利用桩的水平振动土阻抗结果,分析了桩、土桩构成的组合桩在频率域内的动力响应,给出了黏弹性土层中黏弹性悬浮桩水平振动动力刚度的半解析解,得到了动力刚度随各种物性参数的变化曲线。在此基础上,研究了物性参数对刚度的影响,对比了细长桩和短粗桩的响应差异。结果表明,悬浮桩水平振动的动态刚度受桩长、土的软硬程度、水平激振频率等的影响,这些结果可以为工程设计提供参考依据。