Integrated analysis of a coupled mechanism for the failure processes of pile-reinforced slopes

A series of centrifuge model tests was conducted to investigate the failure mechanism of pile-reinforced slopes under self-weight loading and vertical loading conditions. An integrated analysis method was proposed based on the image-based measurement results of the displacement of the slope in the tests. The failure process of a pile-reinforced slope was quantified based on the measured deformation process over the entire slope, which was shown to depend primarily on the loading conditions. The deformation localisation was discovered in the slope during loading and was effectively described using a newly introduced index, the Diversity Factor of Displacement (DFD). The deformation localisation of the slope developed and caused the progressive formation of the slip surface. At the same time, a local failure at a point on the slip surface resulted in new deformation localisation, and the influence expanded with the centre of the failure point and waned with increasing distance from the failure point. The deformation localisation process and the deformation-failure process of the piles interacted as both cause and effect and developed alternately. The failure mechanism of the pile-reinforced slopes was used to explain the effects of several influencing factors on the bearing capacity of the reinforced slope, such as the pile spacing, pile location, and gradient of the slope.     

Pile reinforcement mechanism of soil slopes

Stabilizing piles are widely used as an effective and economic reinforcement approach for slopes. Reasonable designs of pile reinforcement depend on the understanding of reinforcement mechanism of slopes. A series of centrifuge model tests were conducted on the pile-reinforced slopes and corresponding unreinforced slopes under self-weight and vertical loading conditions. The deformation of the slope was measured using image-based analysis and employed to investigate the pile reinforcement mechanism. The test results showed that the piles significantly reduced the deformation and changed the deformation distribution of the slope, and prevented the failure occurred in the unreinforced slope. The pile influence zone was determined according to the inflection points on the distribution curves of horizontal displacement, which comprehensively described the features of the pile–slope interaction and the characteristics of reinforced slopes. The concepts of anti-shear effect and compression effect were proposed to quantitatively describe the restriction features of the piles on the deformation of the slope, namely the reduction in the shear deformation and the increase in the compression deformation, respectively. The pile reinforcement effect mainly occurred in the pile influence zone and decreased with increasing distance from the piles. There was a dominated compression effect in the vicinities of the piles. The compression effect developed upwards in the slope with a transmission to the anti-shear effect. The anti-shear effect became significantly dominated near the slip surface and prevented the failure that occurred in the unreinforced slope.     

地震作用下抗滑桩—预应力锚索框架组合结构受力机制

为了解抗滑桩—预应力锚索框架组合结构在地震作用下的受力机制,基于四川省东北部某滑坡治理工程,采用MIDAS/GTS有限元程序建立抗滑桩—预应力锚索框架数值模型,利用位移时程曲线法对加固边坡进行稳定安全系数计算,而后输入不同峰值地震加速度（peak ground accelerations,PGA）的Wolong地震波,分析了加固边坡的加速度响应、桩锚结构内力变化以及荷载分担规律.研究结果表明,加固边坡的稳定安全系数满足规范要求,在地震作用下其上部存在潜在浅层滑面,中部和下部存在潜在深层滑面,与静力条件下加固边坡的潜在滑面分布不同,这是加速度高程放大效应所致;随着输入地震波PGA增大,加速度高程放大效应明显加强,且抗滑桩桩身弯矩和剪力增大,但其最大值出现位置不变,桩身正、负弯矩最大值分别位于距桩顶约0.7L和0.4L处,最大正、负剪力分别位于距桩顶约0.9L和0.7L处,实际工程中需注意防范抗滑桩在滑面附近发生破坏;同时随着输入地震波PGA增大,桩锚承担的荷载逐渐增大,但抗滑桩分担的下滑力比例增大,而锚索分担的下滑力比例减小,故实际工程设计中不应固定桩锚荷载分担比例.      

短芯劲芯水泥土桩承载路堤失稳破坏模型试验

在劲芯水泥土桩承载路堤的工程应用中,芯桩比外桩短的情况比较普遍。但是,人们对短芯劲芯水泥土桩承载路堤的桩体破坏模式和失稳破坏机理的认识较为欠缺,无法合理评价路堤的稳定性。鉴于此,本文通过室内模型试验,开展短芯劲芯水泥土桩承载路堤失稳破坏模式研究。通过监测芯桩导电通路变化、芯桩桩身应变和桩土竖向应力,并结合PIV技术,综合分析桩体渐进式破坏模式和路堤整体失稳规律。研究结果表明,在路堤顶面下,荷载主要由芯桩承担,并随着超载增加,芯桩外桩荷载分担作用减小,但路堤失稳后芯桩仍具有一定荷载分担作用。在路堤失稳破坏过程中,路堤下桩体表现出受压破坏且芯桩底部局部鼓胀破坏,坡面下桩体表现出压弯和拉弯破坏模式,地基滑动面并不完全穿过桩体破坏位置。     

Centrifuge model test study on pile reinforcement behavior of cohesive soil slopes under earthquake conditions

In this study, dynamic centrifuge model tests were conducted to investigate the dynamic response of cohesive soil slopes with the use of stabilizing piles during an earthquake. The behavior of the pile reinforcement was analyzed based on the obtained deformation over the entire slope through image-based measurement, and the behavior of the slope was compared to that of an unreinforced slope. The piles significantly increased the stability of the slope and reduced its deformation during an earthquake. The bending moment of the piles exhibited a nearly triangular distribution due to the earthquake. The acceleration response of the slope increased with increasing elevation, and the displacement accumulated apparently irreversibly over the course of the earthquake. The piles significantly affected the deformation of the slope in a certain area, the boundary of which was defined using a continuous surface. A strain analysis of the slope demonstrated that the piles had a significant effect on the reduction in the deformation of the slope in their vicinities, and this effect expanded upward along the slope and arrested the possible slip surface that would have occurred in an unreinforced slope. Several influencing factors were simulated in the tests, and observation of these factors demonstrated that the dynamic response of the pile-reinforced slope was affected by the pile spacing, pile location, slope gradient, and input earthquake to varying extent.     

On the cyclic failure mechanism of soil slopes

Dynamic loads, such as earthquakes, triggered a large number of landslides with more complicated failure mechanism due to their significant rate effect and cyclic effect. Thus, the failure mechanism is essential for an accurate evaluation of the dynamic stability of slopes. A series of centrifuge model tests was conducted to investigate the progressive failure behavior of slopes under cyclic loading conditions with different amplitudes. The cyclic effect was quantitatively analyzed in view of the deformation and failure behavior of slopes and was discovered equivalently induced by different combinations of the amplitude and the number of loading cycles. For example, the slope failure was induced by a cyclic loading with an increasing amplitude as the number of loading cycles decreased, with an extreme case of the monotonic loading with a larger magnitude. The slope exhibited a significant progressive failure with a downward sequence from the top. The slip surface became shallower as the amplitude of the cyclic loading increased and was shallowest under the monotonic loading condition. Cyclic loading induced deformation localization and the localization developed to cause local failure in the slope. The local failure, together with the effect of cyclic loading, contributed to new deformation localization that determined the development of the slip surface. The amplitude of the cyclic loading affected the propagation of deformation localization in slopes, resulting in the observed variation of the slip surfaces under different loading patterns.     

基于强度折减弹塑性有限元法的抗滑桩加固边坡稳定性分析

以大型通用有限元分析软件ABAQUS作为平台,以迭代不收敛联合坡面特征点位移陡增作为抗滑桩加固边坡失稳判据,通过二次开发建立了能够自动搜索安全系数的抗滑桩加固边坡稳定性强度折减弹塑性有限元分析模型,结合典型算例的对比分析验证了这一判据的有效性。在此基础上,针对一实例边坡进行了稳定性数值分析。研究表明,对于抗滑桩加固边坡,以强度折减有限元法所确定的潜在滑动面,一般地比极限平衡法、极限分析上限方法要浅。     

抗滑桩加固边坡三维数值分析中的几个问题

就当前抗滑桩加固边坡三维数值分析中存在的几个问题,开展了有针对性的研究。利用考虑桩-土-边坡相互作用的强度折减有限元程序,结合典型边坡算例,深入探讨了抗滑桩-边坡体系的计算模型尺度、设桩位置、桩间距（S）与桩径（D）之比（S/D）、桩长与桩底接触模式等因素对边坡稳定安全系数及临界滑动面的影响,以及不同桩头约束下抗滑桩内力分布等。研究表明,单桩取半、单桩、双桩取半、双桩、单桩加双桩取半5种尺度计算模型所得边坡的安全系数并无差异,模型尺度为0.5S时的计算工作量最小;抗滑桩加固于边坡中部可获得最大的安全系数,坡顶或坡脚处安全系数略高于无桩状态,总体上其安全系数与设桩位置的变化曲线近似为一抛物曲线;边坡安全系数随S/D的增加而减小,其最优的比值宜为S/D =2～6,此时桩间存在土拱效应;均质土坡中抗滑桩锚固深度宜为2/5桩长;其结果可为抗滑桩工程设计及规范修订提供参考。     

单排与三排微型抗滑桩大型模型试验研究

为了得到土质边坡中微型抗滑桩的破坏机制及边坡的破坏模式,通过3组大型物理模型试验对单排与三排微型抗滑桩加固黏性土边坡进行了研究。在加载过程中进行了位移和桩体应变的测量,最后进行开挖观察桩体破坏形态。试验结果表明,三排微型桩具有良好的抗滑效果,其承载力较单排桩提高了51.5%,且允许滑体产生较大位移,有效延缓坡体垮塌,适用于应急抢修工程。边坡会在加桩位置向前产生弧形次生滑面,并与预设滑面贯通;对于三排桩,第3排桩前出现桩土脱空区,坡面产生纵向劈裂缝。桩体变形呈S形,发生弯曲变形引起张拉与压剪破坏,而不是岩质边坡中滑面处的受剪断裂破坏。桩身所受最大弯矩分布于滑面以上,对于三排桩,第1排所受弯矩最大,第3排其次,第2排最小。其研究结果对了解微型桩的抗滑和破坏机制具有参考意义。     

基于地应力边界条件的复杂边坡抗滑桩支护设计研究

复杂边坡稳定性问题一直是岩土工程界重点研究的问题之一,提高复杂边坡安全系数的方法有很多,其中采用抗滑桩支护是常用手段之一。以安徽省某高速公路复杂边坡为研究对象,采用套孔应力解除法对该边坡岩土体进行了地应力测试,以测试结果作为有限元分析的边界条件,分别对该边坡加固前和采用抗滑桩加固后两种工况进行数值分析,得到有代表性的有限元分析结果;并对有限元的计算出位移结果和实测位移进行了对比。分析表明,未采用抗滑桩支护的边坡,会产生局部应力过分集中、整体变形和水平向位移较大、塑性区贯通等不利于边坡稳定的危险状况。采用了抗滑桩支护后,贯通的塑性区消失,边坡变形和位移减少,应力分布趋于均匀,安全系数大幅度提高。有限元计算出的位移结果和实测位移十分接近,匹合度较好,从而说明了有限元分析手段的可靠性。     

考虑桩间土体抗滑作用的单排抗滑桩受力计算方法

为了充分考虑桩间距范围内滑体对抗滑桩受力的影响,从单排抗滑桩加固边坡的整体稳定角度出发,在采用传递系数法分析指定设计安全系数情况下抗滑桩的内力时,提出对一个桩间距范围内的加固坡体进行整体分析,将抗滑桩所在部位单独划分条块,该条块包括桩体受荷段及其两侧桩间距范围内的滑体。推导了与此分析模型相应的桩体受荷段底端内力计算公式,并给出了在滑坡推力线性分布条件下作用于受荷段的净滑坡推力计算表达式。分析结果显示,在不考虑与完全考虑受荷段两侧桩间距范围内滑体抗力作用时,得到是桩体内力及位移的上、下边界值。实例分析进一步表明,理论分析与数值模拟结果具有良好的一致性。所提出的方法比传统方法更有利于抗滑桩设计的经济性。     

Strength reduction analysis for slope reinforced with one row of piles

In this paper, slope reinforced with one row of piles is considered. The critical slip surface is found to be divided into two parts when the pile spacing is small, and these two parts gradually get connected with the increase of pile spacing until a clear critical slip surface is formed. The critical slip surface of the piled slope is found to be usually shallower than the corresponding slope without pile, and this result is totally different from the previous results based on the maximum point of shear force where a very deep critical slip surface is obtained. The optimal pile position for slope reinforced with one row of piles is found to be located between the middle of the slope and the middle of the critical slip surface. An optimal design procedure for the pile spacing has also been suggested in the present paper, and the procedure will help to reduce the time required for a piled slope three-dimensional analysis.     

水位下降条件下土钉加固土坡破坏特性研究

水位下降是导致滑坡的重要原因之一,而土钉是加固土坡的有效手段。进行离心模型试验,再现了水位下降时土钉加固土坡的变形和破坏过程,测量了土坡的位移变化。试验结果表明,水位下降条件下土钉加固土坡的破坏模式以绕钉破坏为主,滑裂面从坡顶逐渐向下发展至坡面;土钉加固土坡的破坏过程与变形局部化过程表现出显著的耦合变化;土钉加固机制主要表现为通过土钉与坡体的相互作用,减小土坡的变形和变形局部化程度,从而提高土坡的稳定性。增加土钉长度使得滑裂面向坡内部移动,显著减小土坡的变形及变形局部化程度,从而提高了土坡安全性。     

抗滑桩加固边坡稳定性影响因素的参数分析

抗滑桩加固是滑坡治理的常用方法。本文采用强度折减有限元法分析了影响抗滑桩加固边坡稳定性的若干因素,计算了边坡抗滑桩在坡顶分级堆载过程中的桩身弯矩、剪力、位移和边坡安全系数,揭示了桩位、桩长等因素对抗滑桩加固边坡稳定状态的影响规律,获得了最优桩位及临界桩长等抗滑桩优化设计要素,为排桩的优化设计提供参考依据。并对抗滑桩在坡顶分级堆载下的桩身受力、变形特性及规律进行了分析。发现桩头水平位移在坡顶分级堆载下以指数函数形式发展,并建立了变形预测数学模型,为桩身变形控制提供了参考依据。     

A calculation method for the embedded depth of stabilizing piles in reinforced slopes

Embedded stabilizing piles are a significant optimization measure for traditional piles used to reinforce slopes or landslides. The determination of the embedded depth of the pile top is essential for engineering design. On the basis of the potential overtop-sliding failure mechanism for a piled slope, the corresponding overall slip surface is assumed to consist of the upper part from the original slip surface of the landslide, and the lower part occurs in the local slide mass upslope of the piles. The imbalanced thrust force method is used to determine the thrust force of the upper slide mass, and a variational calculus method within the framework of limit equilibrium for the lower slide mass is provided to calculate its limit resistance. According to the equilibrium relationship between the thrust force and the limit resistance under a design factor of safety of the piled slope, a closed-form solution to the piled-slope stability is specifically derived. It can quantitatively exhibit the influences of some important factors, including the embedded depth on the factor of safety and the corresponding slip surface of the slope. The analysis results of some practical examples show that the factor of safety decreases nonlinearly as the embedded depth increases. The proposed method can be applied in practical engineering.     

刚性桩加固软土路基失稳破坏数值模拟

为控制路堤的整体稳定性,刚性桩现已常用于软土路基的加固。本文引入了桩体的断开机制,采用有限元软件ABAQUS对刚性桩加固软土路基的失稳破坏模式进行分析,相较于传统的数值模拟方法,体现了路堤荷载作用下,刚性桩的渐次失稳破坏过程。在此基础上,考虑桩体可能优先发生的弯曲破坏,提出将临界比例n作为判断桩体优先发生剪切破坏或弯曲破坏的临界值,并将其作为本文桩体断开机制的终止判别条件,合理地规避了数值模拟软件定量计算存在的较大误差。最后,将本文数值模拟与传统的数值模拟、等效砂桩法的数值模拟进行对比,结果反应出本文数值模拟方法的合理性与可靠性,工程上可通过增大前排桩的抗弯强度或限制桩体的水平位移,提高路堤的整体稳定性。     

考虑非均质各向异性效应的阻滑桩加固土坡稳定性分析

基于极限分析上限定理与土的抗剪强度折减系数概念,考虑土的强度分布的非均质性与各向异性, 建立了土坡的极限平衡状态方程,由此确定土坡的稳定安全系数及其相应的潜在破坏模式。对于在给定的荷载条件下不能满足抗滑稳定性要求的土坡,考虑采用阻滑桩加固方式,根据桩侧有效土压力的合理分布模式确定桩体与滑动面相交的截面上等效抗滑力和抗滑力矩,考虑土的强度非均质性与各向异性的条件,利用极限分析上限定理建立阻滑桩加固土坡的极限平衡状态方程,将桩侧土压力作为目标函数,运用数学规划方法确定极限平衡状态时的临界桩侧有效土压力。通过大量的变动参数对比计算,探讨了土的强度的非均质性与各向异性等因素对阻滑桩桩侧极限抗力及最优加固位置的影响。     

Centrifuge study on behavior of rigid pile composite foundation under embankment in soft soil

The rigid pile composite foundation is widely used in highway projects in soft soil area as it can effectively increase the bearing capacity and stability of the foundation. While the research on the behavior and failure mode of rigid pile composite foundation under embankment is not enough, instability failure of rigid pile composite foundation often occurs in practical projects. This paper presents a centrifuge model test to investigate the load transfer mechanism, settlement characteristic and failure mode of rigid pile composite foundation under embankment. The test results show that: the soil displacement of different region in rigid pile composite foundation was different, obvious vertical displacement occurred in the soil under the center of embankment and the horizontal displacement was very small in this region; both vertical and horizontal displacement occurred in the soil under the shoulder of embankment; and obvious horizontal displacement occurred in the soil under the slope toe of embankment; moreover, ground heave also occurred near the slope toe of embankment. The soil displacement in rigid pile composite foundation had a large influence on the stress characteristic and failure mode of rigid piles, the compressive failure and bending failure would probably occur for the piles under the center and shoulder of the embankment, respectively, and the tension-bending failure would probably occur for the piles under the slope toe of embankment. The different failure modes of piles at different regions should be considered in the design of rigid pile composite foundation under embankment. The test results can be used to improve the design method for rigid pile composite foundation under embankment in practical projects.

     

The P-y Response of Laterally Loaded Flexible Piles in Residual Soil

This paper describes the main features related to lateral displacements with depth after successive lateral loading–unloading cycles applied to the top of reinforced-concrete flexible bored piles embedded in naturally bonded residual soil. The bored piles under study have a cylindrical shape, with 0.40-m in diameter and 8.0-m in length. Both bored piles types (P1 and P2) include an embedded steel pipe section in their center as longitudinal steel reinforcements: pile type P1 has another 16 steel rods as steel reinforcement to concrete while pile type P2 has no further steel reinforcement. Pile type P1 has three times as much stiffness (EI) and four and a half times the plastic moment (M_y) than pile type P2. A similar load–displacement performance was observed at initial loads as for small displacements of both piles. At this initial loading stage, the response of the reinforced concrete piles is a function of the soil characteristics and of a linear elastic pile deformation. During this stage, piles can even be understood as probes for evaluating soil reactions. For larger horizontal displacements, after the concrete section starts undergoing large deformations, approaching the ultimate bending moment, pile behavior and consequently the load–displacement relation starts to diverge for both piles. For pile P1 the values of relevant lateral displacements are extended to about 2.5-m in depth, while for pile P2 lateral displacements are mostly constrained to about 2.0-m in depth. Measurements of horizontal displacements of pile P1 against depth recorded with a slope indicator show that, after unloading, lateral loads at distinct stages (small and near failure loads), exhibits a much higher elastic phase of the system response. An analytical fitting model of soil reaction is proposed based on the measured displacements from slope indicator. The integration of a continuous model proposed for the soil reaction agrees fairly well with the measured displacements up to moments close to plastic limit. Results of load–displacement show that the stiffer pile (P1) was able to mobilize twice as much lateral load compared to pile P2 for a service limit displacement of about 20 mm. The paper shows results that enable the isolation of the structural variable through real scale pile load tests, thus granting understanding of its importance and enabling its quantitative visualization in examples of piles embedded in residual soil sites.

     

黄土高边坡土钉-预加固桩复合支护体系性状分析

土钉-预加固桩复合支护技术已在基坑及边坡工程中取得了大量应用,但在黄土高边坡开挖中的应用相对较少。基于详细的现场监测数据并辅以有限元数值计算,分析了边坡开挖过程中支护体系受力及变形随时间和空间的变化规律。结果表明：预加固桩的水平位移随着时间的推移与开挖深度的增加呈增大趋势,并最终趋于稳定,同时,桩身剪力及弯矩亦随开挖的进行而不断增大;剪力最大值的位置不断下移,说明边坡的潜在滑动面有不断向下扩展的趋势。与深基坑支护桩的土压力分布相比,土钉-预加固桩复合支护体系中桩后土压力随开挖呈不断减小的趋势,但桩前土压力随着开挖深度的增加,有增有减。随着施工开挖深度的增加,土钉所测得的应力有着明显的增大,说明土钉对抑制坡体变形起到了一定作用。在预加固桩的影响下,桩上方坡体的最危险破裂面为圆弧状,其剪出口位于预加固桩桩顶处。开挖深度较浅时,土钉对整体稳定性的贡献较大,而随着开挖深度的变大,预加固桩的加固效果开始占主导地位。