斜坡地基刚性桩水平承载力上限分析

为探讨斜坡地基刚性桩水平极限承载力的计算方法，介绍柔性桩的等效刚性桩有效嵌入深度并引入极限水平地基反力分布形式。根据荷载指向坡外及坡内两种情况，提出适用于斜坡地基桩前土体的两种极限破坏模式。然后，基于极限分析上限定理，推导出两种荷载方向下的刚性桩极限承载力，并引入多组现场试验，验证了理论方法的合理性。探讨了边坡坡角、内摩擦角、黏聚力及荷载方向对极限承载力的影响，得出了一些规律性结论，并基于以上分析结果，提出斜坡地基刚性桩水平极限承载力随坡角变化的拟合公式。这些分析为斜坡地基上基桩设计提供了一定的参考，具有理论及工程应用价值。     

压实填土地基承载力深度修正系数研究

软弱土层上的压实填土地基作为一种非均质地基广泛应用,但目前关于这种地基的破坏模式和承载力机制的研究还不够深入,工程中仍采用现行规范深度修正系数取值为2的方式进行设计。采用有限差分方法建立数值模型,研究了影响压实填土地基承载力深度修正系数的因素,并与现行规范推荐方法的取值进行对比。结果表明：填土越深、基础外超载越大,参与地基剪切破坏运动的土体体积越大,地基极限承载力越高;而随着填土宽度的增大,地基极限承载力先提高,后趋于稳定;砂土内摩擦角的增大也会提高地基极限承载力。总体来说,规范中的推荐值是偏于保守的,会造成承载力的浪费;而在下卧层强度很小、填土深度较大时该推荐值可能高估压实填土地基承载力,存在偏于不安全的可能,在工程设计时应予以考虑。     

软土地基上高填方刚性涵洞地基承载力分析

山区沟谷软土地基上高填方刚性涵洞的应用较为广泛,然而,现有的计算理论对该类条件下涵洞地基承载力的认识还不够充分,对地基承载力提出过高的要求,反而为结构带来了不利影响。通过数值模拟和试验手段对涵洞的地基承载力进行深入分析。探讨基础埋深、宽度及软土固结对涵洞地基承载力的影响。研究表明,当基础埋深系数 5时,涵洞地基承载力特征值随着基础埋深的增大近似线性增加,当 5时,基础埋深对地基承载力特征值影响逐渐减小;但基础宽度对软土地基上刚性涵洞地基承载力特征值的影响甚小,实际工程中可不予考虑。此外,试验结果表明,固结度和固结压力对软土的黏聚力和内摩擦角有复合影响,固结度较大时,黏聚力和内摩擦角随固结压力的增大而明显增大。固结度和固结压力对内摩擦角的影响比对黏聚力的影响要大。高填方涵洞地基极限承载力随着软土固结度的增大而提高,当固结度达到90%时,地基极限承载力通常可提高36%以上;地基极限承载力随固结压力的增加呈非线性增大,其提高的幅度逐渐减小。     

放坡状态有限土体刚性挡土墙主动土压力研究

针对现有有限土体刚性挡土墙主动土压力研究大都集中于临近建筑物墙体或地下室外墙的狭窄土体,相邻基坑、路堤与切坡挡土墙形成放坡状态有限土体研究甚少,本文考虑填土黏聚力及墙土间黏结力、墙土间摩擦作用、墙背倾角及填土顶面竖向荷载等的影响,利用刚体极限平衡理论进行研究。根据相邻基坑与边坡挡土墙放坡状有限土体的工程特性,分析挡土墙平动位移模式下平面滑动破裂面的形成特征,建立放坡状态有限土体主动土压力计算模型,并利用数值计算方法可以求解。通过对放坡状有限土体主动土压力进行算例分析与参数分析,表明极限破裂角与宽高比、黏聚力、墙背倾角及墙土间外摩擦角为负相关,不同黏聚力下随着宽高比增大,极限破裂角趋近于考虑黏聚力作用库伦方法得到的极限破裂角值,不同黏聚力下有限土体宽度临界值亦是变化的;主动土压力随黏聚力、墙背倾角及墙土外摩擦角增大而减小,随着宽高比增大而增大并逐步趋近于库伦方法计算的土压力值。最后,通过模型试验验证表明按本文方法计算的极限破裂角与实测破裂角吻合,PIV系统测试得到的临界宽高比与库伦方法的结果一致。     

极限荷载作用下临近基坑c-ψ土地基的破坏模式

与地面水平时地基土体的对称破坏模式不同,临近基坑(边坡)地基土体的破坏模式呈现明显的非对称性.利用FLAC-3D数值模拟技术,研究了在竖向极限荷载作用下临近基坑c-ψ土地基不同工况时的破坏模式,得出了与J.Graham所假设的边坡附近无黏性土地基破坏模式相一致的结论.最后将数值模拟结果与大尺寸模型试验数据以及J.Graham的基于应力特征线法的非对称滑动破坏模式的地基承载力理论解进行了分析对比.结果表明,采用叠加计算方法得到的承载力系数Nγq偏于安全.     

极限荷载作用下临近基坑c-φ土地基的破坏模式

与地面水平时地基土体的对称破坏模式不同,临近基坑(边坡)地基土体的破坏模式呈现明显的非对称性。利用FLAC-3D数值模拟技术,研究了在竖向极限荷载作用下临近基坑c-φ土地基不同工况时的破坏模式,得出了与J.Graham所假设的边坡附近无黏性土地基破坏模式相一致的结论。最后将数值模拟结果与大尺寸模型试验数据以及J.Graham的基于应力特征线法的非对称滑动破坏模式的地基承载力理论解进行了分析对比。结果表明,采用叠加计算方法得到的承载力系数Nγq偏于安全。     

斜坡地基刚性桩水平承载力上限分析

为探讨斜坡地基刚性桩水平极限承载力的计算方法,首先,介绍柔性桩的等效刚性桩有效嵌入深度并引入极限水平地基反力分布形式。其次,根据荷载指向坡外及坡内两种情况,提出适用于斜坡地基桩前土体的两种极限破坏模式。然后,基于极限分析上限定理,推导出两种荷载方向下的刚性桩极限承载力,并引入多组现场试验,验证了本文理论方法的合理性。最后,探讨了边坡坡角、内摩擦角、粘聚力及荷载方向对极限承载力的影响,得出了一些规律性结论,并基于以上分析结果,提出斜坡地基刚性桩水平极限承载力随坡角变化的拟合公式。这些分析为斜坡地基上基桩设计提供了一定的参考,具有理论及工程应用价值。     

极限荷载作用下临近基坑c-土地基的破坏模式

与地面水平时地基土体的对称破坏模式不同,临近基坑（边坡）地基土体的破坏模式呈现明显的非对称性.利用FLAC-3D数值模拟技术,研究了在竖向极限荷载作用下临近基坑c-ψ土地基不同工况时的破坏模式,得出了与J.Graham所假设的边坡附近无黏性土地基破坏模式相一致的结论.最后将数值模拟结果与大尺寸模型试验数据以及J.Graham的基于应力特征线法的非对称滑动破坏模式的地基承载力理论解进行了分析对比.结果表明,采用叠加计算方法得到的承载力系数Nγq偏于安全.     

地表超载作用下隧道失稳破坏的上限有限元分析

针对地表超载作用下隧道稳定性和破坏模式问题,基于刚体平动运动单元上限有限元理论编程并计算分析,获得了浅埋隧道失稳临界超载系数上限解和刚性运动块体体系破坏模式。通过与现有的刚性块体极限分析上限法以及极限分析上、下限有限元法计算结果的对比分析,验证了上限解的可靠性。研究结果表明,（1）临界超载系数 黏聚力c之比 随土体内摩擦角 和隧道埋深C与直径D之比( )的增大而相应增大,随土体重度与黏聚力参数 的增大而减小;（2） 和 对隧道破坏模式的影响较明显; 增大,则隧道破坏范围增加;内摩擦角 增大,刚性运动块体破坏模式相互错动更加显著,相比而言, 对破坏模式的影响并不显著;（3）刚体平动运动单元上限有限元上限解精度高,所得刚性运动块体破坏模式具有滑移线形态,能精细地反映隧道失稳破坏特征。     

基于统一强度理论带帽刚性桩承载力上限分析

基于塑性极限理论的上限分析法,借鉴已有数值分析和室内模型试验所揭示的带帽刚性桩破坏模式,构建了其运动许可速度场,并引入统一强度理论,根据能量平衡原理,推导了能考虑中主应力影响的带帽刚性桩极限承载力上限计算公式。同时通过参数分析,得到了带帽刚性桩极限承载力随桩帽尺寸、土的黏聚力和内摩擦角的变化规律。研究发现：考虑中主应力影响的带帽刚性桩的上限解较不考虑时有较大的提高,对于带帽刚性桩承载力计算时,实际统一强度理论中反映中主应力影响的参数取0.1～0.2附近较为合理。带帽刚性桩承载力随着桩帽尺寸的增大而增大,且桩帽直径与桩径之比 时,承载力增大趋势较为明显;承载力随着土体黏聚力和内摩擦角的增大而增大。通过与已有理论方法和试验结果对比分析发现,本文提出的方法不仅在理论上更严密,而且可得到更符合实际的计算结果。     

Reliability bearing capacity analysis of footings on cohesive soil slopes using RFEM

Reliability analysis of bearing capacity of a strip footing at the crest of a simple slope with cohesive soil was carried out using the random finite element method (RFEM). Analyses showed that the coefficient of variation and the spatial correlation length of soil cohesion can have a large influence on footing bearing capacity, particularly for slopes with large height to footing width ratios. The paper demonstrates cases where a footing satisfies a deterministic design factor of safety of 3 but the probability of design failure is unacceptably high. Isotropic and anisotropic spatial variability of the soil strength was also considered.     

Stability of eccentrically loaded footings on slopes

The stability of eccentrically loaded strip footings on slopes was investigated using the method of finite element analysis based on the theory of elasto-plasticity. The analysis was done for two different soils involving three levels of slope angle, six footing locations, and two levels of load eccentricity plus central vertical loading. The strip footing analysed was a 3-ft (0.9 m) wide reinforced concrete footing embedded to a depth of 3 ft (0.9 m). The analysis focused on footing settlement, plastic yielding of soil, and ultimate bearing capacity. The results of analysis show that the influence of load eccentricity on footing pressure vs. footing centre settlement is negligibly small. However, the progressive soil yielding and ultimate bearing capacity are greatly affected by load eccentricity. Furthermore, the effect of load eccentricity differs considerably with the load location relative to the footing centre and slope crest. The ultimate bearing capacity for the eccentric load located on the slope side is significantly greater than that for the load located on the other side of the footing centre. For a 2(H): 1(V) slope in silty clay, the effect of slope on footing stability decreases with increasing footing location from slope crest as would be expected, and diminishes when the footing is located from the crest at about 5-times the footing width.     

Seismic Bearing Capacity of Strip Footings Located Close to the Crest of Geosynthetic Reinforced Soil Structures

This paper investigates the performance of geo-reinforced soil structures subjected to loading applied to strip footings positioned close to a slope crest. The kinematic theorem of limit analysis, which is based on the upper bound theory of plasticity, is applied for evaluating the ultimate bearing capacity within the framework of pseudo-static approach to account for earthquake effects. The mechanism considered in this analysis is a logarithmic spiral failure surface, which is assumed to start at the edge of the loaded area far from the slope, consistent with the observed failure mechanisms shown in the experimental tests reported in the literature. A parametric study is then carried out to investigate the influence of various parameters including the geosynthetic configuration, backfill soil friction angle, footing distances from the crest of the slope, slope angles and horizontal seismic coefficients. Attention is paid to the failure mechanism because its maximum depth is the depth at least to which the reinforcements must be placed. Results of the analyses are presented in the form of non-dimensional design charts for practical use. Finally, a simple procedure based on the assessment of earthquake-induced permanent displacements is shown for the design of footing resting on reinforced slopes subjected to earthquake.     

土钉加固黏性土坡加载的离心模型试验研究

进行了不同坡度土钉加固边坡坡顶加载的离心模型试验,观测了土坡的破坏过程并测量土坡的位移场,研究了土钉加固黏性土坡的承载力、变形和破坏规律以及坡角对其破坏规律的影响。试验结果表明,坡顶荷载的增加引起土坡变形的增加,变形的集中产生和发展导致滑裂面的形成并使土坡发生破坏。土钉变形规律受加载阶段和加载底板的综合影响,坡顶荷载越大,接近坡顶的土钉弯曲挠度越大,钉土间的相互作用越强。土坡的坡角越大,承载力越低,土体呈现出更显著的向坡面位移的趋势。     

条形荷载下不排水土坡破坏模式判定及极限承载力估算

为了确定边坡放置地基的极限承载力,采用弹-理想塑性有限元,分析了不排水土坡(u=0)的坡肩上放置条形基础的地基极限承载力。结果表明,不排水土坡地基极限承载力仍可沿用Terzaghi水平地基极限承载力计算公式qu=cuNc。不考虑重度条件下,土坡地基的破坏模式类似于水平地基破坏模式,承载力系数Nc与极限分析法计算的结果一致;考虑重度条件下,可用土坡实际状态的Taylor数与其极限状态的Taylor数的差值N作为判别指标,当该值较小时将发生边坡破坏模式,较大时发生地基破坏模式,找出了两种破坏模式的N分界点,确定了Nc与N的关系,建立起坡肩作用条形荷载下不排水土坡极限承载力计算公式。     

Experimental and numerical investigation of slope stabilization by stone columns

In this study, an investigation has been performed on a small-scaled laboratory model and its numerical model by the code of PLAXIS to see the effect of stone columns (SCs) placed vertically in a soft soil slope in terms of slope stability, bearing capacity, and settlements. Also, several hypothetical cases have been examined by the code. Effect of s/D ratios (distance between the vertical axes of SCs/diameter of SCs) was also investigated on slope stability, ultimate bearing capacity, and settlement of a footing rested on top of the slope on the laboratory model. Firstly, ultimate bearing capacity and settlement properties of soil were determined for unreinforced soil that is no SCs were considered. Then, some values of soil were determined after the installation of stone columns with various ratios of s/D. The ratios of s/D were 2, 3, 3.5, and 4. The tests carried out on the laboratory model were simulated and numerically analyzed in two dimensions under plain-strain conditions by Mohr?CCoulomb model. In the analyses, PLAXIS computer code, which is based on finite elements method, has been employed. Then, a parametric investigation was carried out to see the effect of SCs on the stability of the slope. In the parametric investigation, several hypothetical cases that were one layer of soil and two layers of soil with the presence of water in the reservoir side of the slopes were examined. The analyses in the investigation were performed by the PLAXIS code for various slope angles ??, ratios of c/(??H), and ratios of s/D. From the test results of the laboratory model, and the results obtained from the numerical analyses, it was observed that the bearing capacity of the footing constructed on the top of the slope in soft soil was increased; settlements were decreased after the improvement with SCs. From the analyses performed, it was found that the SCs increased the stability of slope 1.18- to 1.62-fold as a relative effect of different parameters.     

条形基础加筋砂土地基极限承载力计算

基于传统的极限平衡条分法,利用临界滑动场法计算了条形基础的加筋地基极限承载力。假定土体处于极限平衡状态时,土体与筋材间存在均匀的摩擦力,通过建立土体条块极限平衡方程,推导了地基承载力的递推关系式。首先,设定计算土体范围,并划分条块和离散状态点;其次,根据递推公式计算各个状态点的参数,并搜索临界滑面;最后,根据搜索出的滑面计算地基承载力。通过实例比较进一步验证了计算结果的可靠性,并分析了首层筋带埋深、铺设层数和长度对地基承载力和滑面位置的影响。研究结果表明：地基承载力随着筋带埋深的增加先增大后减小;随着层数和长度的增加先逐渐增大,最后趋于稳定;滑面位置的变化规律主要是垂直影响深度和水平影响范围增大或减小。该方法原理简单、易于编程,为条形基础加筋地基承载力的计算提供了一种新思路,是临界滑动场法在地基承载力计算中的推广应用。     

非均质成层边坡极限承载力上限分析

极限承载力一直是采矿、岩土等领域关注的难点和热点问题,严重影响着边坡与邻坡建（构）筑物的安全稳定性。基于极限分析上限定理,考虑边坡滑动溢出位置不确定性影响,建立3种模式的非均质成层边坡刚性多滑块破坏机制,推导出边坡极限承载力上限解,并采用序列二次规划算法（SQP）求其最优值。以三岔露天矿北帮为工程背景,通过与数值计算结果对比分析,验证本文方法的有效性,进而开展不同坡角和排土场距坡肩距离影响分析。结果表明：（1）本文方法计算结果与数值计算结果吻合度较好,表明本文方法边坡极限承载力上限解合理有效;（2）边坡极限承载力与坡角大小呈线性负相关,与排土场距坡肩距离呈线性正相关,相比于排土场距坡肩距离而言,坡角对边坡承载力影响更为敏感;（3）坡角变化对边坡失稳模式影响较大,而排土场距坡肩距离的变化对边坡失稳模式影响不明显;（4）坡角和排土场距坡肩距离均对滑裂面起始位置和溢出位置有影响,滑裂面起始位置受排土场距坡肩距离影响较大而受坡角影响较小,滑裂面溢出位置受坡角影响较大而受排土场距坡肩距离影响较小。相关研究成果有望为边坡及邻坡基础设计提供理论支持。     

基于非对称双侧破坏模式的临坡地基承载力上限分析

临坡地基已成为一种广泛的地基形式。针对临坡条形基础地基破坏模式的非对称性特点,首先引进双侧破坏模式的研究思路,重点考虑临坡地基基础两侧滑块大小和同一滑块几何形状的双重非对称性特征,构建了临坡条形基础地基非对称双侧破坏模式,为临坡地基承载力分析奠定了坚实基础;然后在此基础上,引进极限上限分析和优化理论,建立了临坡条形基础地基承载力分析的模型与方法,该方法不仅可考虑地基破坏模式,还可考虑基础与坡顶距离对临坡地基承载力的影响,而且还可较好地蜕化为平地地基承载力的分析;最后通过工程实例计算,并与现有相关分析方法进行对比分析,表明该方法的可行性与合理性以及普遍适用性。     

Bearing Capacity of Strip Footings Near Slopes

In the last decades a great attention was given by many authors to the evaluation of the static and seismic bearing capacity of footings near slopes. In this paper a model has been developed based on the limit equilibrium method, considering a circular surface propagates towards the slope until the sloping ground is reached. The bearing capacity is investigated considering either the distance of the footing from the edge of the slope and/or the effect of the footing embedment. A validation of the proposed model was made by a comparison with solutions taken from literature regarding the evaluation of the bearing capacity for a footing adjacent to a slope and for an inclined load. The loading conditions consist in vertical and horizontal stress on the footing and on the soil below the footing. Both the inertial and kinematic effects of the seismic loading have been analyzed, and a simple equation has been derived for the evaluation of the seismic bearing capacity. The static and seismic bearing capacity has been investigated as a function of the soil friction angle, of the seismic coefficient, of the sloping ground. Finally, the influence of the distance of the footing from the edge of the slope was taken into consideration in the evaluation of the bearing capacity, and a threshold distance at which the reduction of the bearing capacity due to the sloping ground vanishes has been defined.