Study on damage-stress loss coupling model of rock and prestressed anchor cable in dry-wet environment

The loss of anchoring force is one of the problems to be solved urgently.The anchorage loss is a key factor causing the failure of anchoring engineering,so it is crucial to study the time-dependent variation of anchoring force.Alternating dry and wet(D-W)conditions have a significant effect on deformation of rock.The anchoring system is composed of anchoring components and rock mass,and thus rock deformation has a significant impact on the loss of anchoring force.Quantifying rock deformation under the effects of D-W cycles is a prerequisite to understanding the factors that influence loss of anchoring force in anchor bolts.In this study,we designed an anchoring device that enabled real-time monitoring of the variation in strain during D-W periods and rock testing.Nuclear magnetic resonance(NMR)measurements showed that under D-W conditions,the increment in porosity was smaller for prestressed rock than unstressed rock.The trends of prestress loss and strain variation are consistent,which can be divided into three characteristic intervals:rapid attenuation stage,slow attenuation stage and relatively stable stage.At the same stress level,the rate of stress loss and strain for the soaking specimen was the highest,while that of the dried specimen was the lowest.In the same D-W cycling conditions,the greater the prestress,the smaller the strain loss rate of the rock,especially under soaking conditions.The characteristics of pore structure and physical mechanical parameters indicated that prestress could effectively suppress damage caused by erosion related to D-W cycles.The study reveals the fluctuation behavior of rock strain and prestress loss under D-W conditions,providing a reference for effectively controlling anchoring loss and ideas for inventing new anchoring components.

Case study on the mechanics of NPR anchor cable compensation for large deformation tunnel in soft rock in the Transverse Mountain area,China

A study was conducted to analyze the deformation mechanism of strongly weathered quartz schist in the Daliangshan Tunnel,located in the western Transverse Mountain area.A large deformation problem was experienced during the tunnel construction.To mitigate this problem,a support system was designed incorporating negative Poisson ratio(NPR)anchor cables with negative Poisson ratio effect.Physical model experiments,field experiments,and numerical simulation experiments were conducted to investigate the compensation mechanical behavior of NPR anchor cables.The large deformations of soft rocks in the Daliangshan Tunnel are caused by a high ground stress,a high degree of joint fracture development,and a high degree of surrounding rock fragmentation.A compensation mechanics support system combining long and short NPR anchor cables was suggested to provide sufficient counter-support force(approximately 350 kN)for the surrounding rock inside the tunnel.Comparing the NPR anchor cable support system with the original support system used in the Daliangshan tunnel showed that an NPR anchor cable support system,combining cables of 6.3 m and 10.3 m in length,effectively prevented convergence of surrounding rock deformation,and the integrated settlement convergence value remained below 300 mm.This study provides an effective scientific basis for resolving large deformation problems in deeply buried soft rocks in western transverse mountain areas.

Three-dimensional limit variation analysis on the ultimate pullout capacity of the anchor cables based on the Hoek-Brown failure criterion

Only simplified two-dimensional model and a single failure mode are adopted to calculate the ultimate pullout capacity(UPC)of anchor cables in most previous research.This study focuses on a more comprehensive combination failure mode that consists of bond failure of an anchorage body and failure of an anchored rock mass.The three-dimensional ultimate pullout capacity of the anchor cables is calculated based on the Hoek-Brown failure criterion and variation analysis method.The numerical solution for the curvilinear function in fracture plane is obtained based on the finite difference theory,which more accurately reflects the failure state of the anchor cable,as opposed to that being assumed in advance.The results reveal that relying solely on a single failure mode for UPC calculations has limitations,as changes in parameter values not only directly impact the UPC value but also can alter the failure model and thus the calculation method.

Anchoring Depth Research of Anti-Slide Piles of Anchor Bar in Soil

The model test result of earth force in the side of anti-slide pile of anchor bars was introduced.There are three groups of the tests.The loads were on the back side of the slope in two groups.The other one was loaded just behind the pile by the jack.In order to get the force of the soil,some earth-pressure boxes were used to get the earth pressure on the side of the piles.The part of the max pressure and the earth pressure was mainly focused under the slip line

Testing and modeling of cyclically loaded rock anchors

The Norwegian Public Roads Administration(NPRA) is planning for an upgrade of the E39 highway route at the westcoast of Norway. Fixed links shall replace ferries at seven fjord crossings. Wide spans and large depths at the crossings combined with challenging subsea topography and environmental loads call for an extension of existing practice. A variety of bridge concepts are evaluated in the feasibility study. The structures will experience significant loads from deadweight, traffic and environment. Anchoring of these forces is thus one of the challenges met in the project. Large-size subsea rock anchors are considered a viable alternative. These can be used for anchoring of floating structures but also with the purpose of increasing capacity of fixed structures. This paper presents first a thorough study of factors affecting rock anchor bond capacity. Laboratory testing of rock anchors subjected to cyclic loading is thereafter presented. Finally, the paper presents a model predicting the capacity of a rock anchor segment, in terms of a ribbed bar, subjected to a cyclic load history. The research assumes a failure mode occurring in the interface between the rock anchor and the surrounding grout. The constitutive behavior of the bonding interface is investigated for anchors subjected to cyclic one-way tensile loads. The model utilizes the static bond capacity curve as a basis, defining the ultimate bond sbuand the slip s1 at τ. A limited number of input parameters are required to apply the model. The model defines the bond-slip behavior with the belonging rock anchor capacity depending on the cyclic load level(τcy/τ), the cyclic load ratio(R= τcy/τcy), and the number of load cycles(N). The constitutive model is intended to model short anchor lengths representing an incremental length of a complete rock anchor.

Hydrogeochemical modelling of corrosive environment contributing to premature failure of anchor bolts in underground coal mines

Anchor bolts are commonly used throughout underground mining and tunnelling operations to improve roof stability.However,premature failures of anchor bolts are significant safety risks in underground excavations around the world due to susceptible bolt materials,a moist and corrosive environment and tensile stress.In this paper,laboratory experiments and hydrogeochemical models were combined to investigate anchor bolt corrosion and failure associated with aqueous environments in underground coal mines.Experimental data and collated mine water chemistry data were used to simulate bolt corrosion reactions with groundwater and rock materials with the PHREEQC code.A series of models quantified reactions involving iron and carbon under aerobic and anaerobic conditions in comparison with ion,pH and pE trends in experimental data.The models showed that corrosion processes are inhibited by some natural environmental factors,because dissolved oxygen would cause more iron from the bolts to oxidize into solution.These interdisciplinary insights into corrosion failure of underground anchor bolts confirm that environmental factors are important contributors to stress corrosion cracking.

Finite element analysis of anchor plates using non-coaxial models

The non-coaxial model simulating the non-coincidence between the principal stresses and the principal plastic strain rates is employed within the framework of finite element method（FEM） to predict the behaviors of anchors embedded in granular material.The non-coaxial model is developed based on the non-coaxial yield vertex theory,and the elastic and conventional coaxial plastic deformations are simulated by using elasto-perfectly plastic Drucker-Prager yield function according to the original yield vertex theory.Both the horizontal and vertical anchors with various embedment depths are considered.Different anchor shapes and soil friction and dilation angles are also taken into account.The predictions indicate that the use of non-coaxial models leads to softer responses,compared with those using conventional coaxial models.Besides,the predicted ultimate pulling capacities are the same for both coaxial and non-coaxial models.The non-coaxial influences increase with the increasing embedment depths,and circular anchors lead to larger non-coaxial influences than strip anchors.In view of the fact that the design of anchors is mainly determined by their displacements,ignoring the non-coaxiality in finite element numerical analysis can lead to unsafe results.

Load transfer laws of tensile anchors in rock masses with weak interlayers based on a shear-slipping updating model

The load transfer characteristics of a tensile anchor in the rock mass with weak interlayers were investigated,considering the nonuniform stress of the horizontally layered rock mass along anchors.An improved shear-slipping model was proposed to describe the stress evolution characteristics of the bolt-rock interface.Based on the improved model,analytical solutions of the axial force,shear stress distribution and load-displacement relationship considering the residual stress stage were established.The effects of the stratigraphic sequence,pulling force and bolt diameter on the stress distribution of the anchorage interface were evaluated by using analytical solutions.The results were verified by applying the finite difference numerical simulation method.The sensitivity of each parameter to the axial force and shear stress of the rock bolt was determined based on calculation of the sensitivity coefficient.The study results show that the axial force and shear stress tend to decrease nonuniformly along the rock bolt towards the anchorage depth.Due to the existence of weak interlayers,the shear stress mutates at the weak and hard rock interface,and the axial force appears to“rebound”at the bottom of the anchored section.Lithology has more significant effects on the axial force and shear stress at the bottom of the anchor than at the top of the anchor.The pulling force is more sensitive to the anchor stress than stratigraphic sequence when the bolt diameter is determined.This study provides a theoretical framework for the fundamental problem of tensile bolts in horizontally or vertically laminated rock masses,providing a theoretical basis for anchor design.

Artificial Neural Network Model for Predicting Ultimate Tensile Capacity of Adhesive Anchors

To predict the tensile capacity of adhesive anchors, a multilayered feed-forward neural network trained with the back-propagation algorithm is constructed. The ANN model have 5 inputs, including the compressive strength of concrete, tensile strength of concrete, anchor diameter, hole diameter, embedment of anchors, and ultimate load. The predictions obtained from the trained ANN show a good agreement with the experiments. Meanwhile, the predicted ultimate tensile capacity of anchors is close to the one calculated from the strength formula of the combined cone-bond failure model.

Prediction of a maximum pull-out load of anchor bolts using an optimal combination model

The mixed model of improved exponential and power function and unequal interval gray GM(1,1)model have poor accuracy in predicting the maximum pull-out load of anchor bolts.An optimal combination model was derived using the optimally weighted combination theory and the minimum sum of logarithmic squared errors as the objective function.Two typical anchor bolt pull-out engineering cases were selected to compare the performance of the proposed model with those of existing ones.Results showed that the optimal combination model was suitable not only for the slow P-s curve but also for the steep P-s curve.Its accuracy and stable reliability,as well as its prediction capability classification,were better than those of the other prediction models.Therefore,the optimal combination model is an effective processing method for predicting the maximum pull-out load of anchor bolts according to measured data.

Model test of negative Poisson’s ratio cable for supporting super-largespan tunnel using excavation compensation method

In recent years,there is a scenario in urban tunnel constructions to build super-large-span tunnels for traffic diversion and route optimization purposes.However,the increased size makes tunnel support more difficult.Unfortunately,there are few studies on the failure and support mechanism of the surrounding rocks in the excavation of supported tunnel,while most model tests of super-large-span tunnels focus on the failure characteristics of surrounding rocks in tunnel excavation without supports.Based on excavation compensation method(ECM),model tests of a super-large-span tunnel excavation by different anchor cable support methods in the initial support stage were carried out.The results indicate that during excavation of super-large-span tunnel,the stress and displacement of the shallow surrounding rocks decrease,following a step-shape pattern,and the tunnel failure is mainly concentrated on the vault and spandrel areas.Compared with conventional anchor cable supports,the NPR(negative Poisson’s ratio)anchor cable support is more suitable for the initial support stage of the super-large-span tunnels.The tunnel support theory,model test materials,methods,and the results obtained in this study could provide references for study of similar super-large-span tunnels。

双锚片螺旋锚倾斜拉拔承载特性与承载力计算方法研究

目前对多锚片螺旋锚倾斜拉拔承载特性机制的认识尚不全面,承载力计算方法也还不成熟。采用自制模型试验装置开展了双锚片螺旋锚的多角度倾斜拉拔模型试验,分析了荷载倾角、埋深比对荷载−位移曲线和抗拔承载力因子的影响规律。通过量化水平向和竖向的控制程度分析了两个方向的耦合效应;基于数值模拟标定了锚片间距和荷载倾角对锚片上土压力的影响,提出了锚片上土压力影响系数计算方法,引入考虑位移影响的土压力近似计算方法和p-y曲线法,构建了双锚片螺旋锚倾斜拉拔力学模型,提出了双锚片螺旋锚倾斜拉拔承载力计算方法和相应步骤,并在3个试验案例的计算中取得了较好的效果。所提模型和计算方法的研究思路可推广至其他多锚片的情况,但螺旋锚需满足属于刚性短桩的前提条件。

锚杆岩体界面载荷传递规律及锚固长度设计

为揭示巷道围岩锚固界面脱粘失效机理,量化锚杆支护设计参数,采用三线性粘结滑移模型进行理论分析,对轴向载荷作用下锚固脱粘失效全过程中,锚固段界面剪应力、锚杆轴力分布演化规律以及界面极限锚固力进行研究,根据锚固段长度不同,得到两种界面剪应力分布演化类型。研究结果表明:当锚固长度较短时,界面剪应力存在全长软化阶段;当锚固长度较长时,界面剪应力存在弹性-软化-滑移三段共存阶段。锚固粘结界面弹性段、软化段、摩擦段内的剪应力分别呈现双曲余弦函数衰减分布、余弦函数上升分布、均匀分布规律,锚杆轴力随界面剪应力分布演化呈现多种形态的衰减分布规律。根据锚固界面模型解析计算获得极限锚固力,当不考虑脱粘摩擦力时,极限锚固力随锚固长度的增加趋近于某一固定值;当考虑脱粘摩擦力时,增加锚固长度能够持续提高锚固界面安全系数。研究成果可为锚固机制分析、锚杆支护参数设计提供理论参考。

含建筑桩基的顺层岩质边坡桩锚支护体系振动台模型试验研究

基于Bockinghamπ定理,对具有建筑桩基的顺层岩质边坡桩锚支护体系开展振动台模型试验,通过分析预应力锚索、建筑桩基的应变以及边坡坡顶加速度,研究支护体系的动力响应规律。结果表明,预应力锚索的应变在地震波加速度达到峰值时达到最大值,且上排锚索受力大于下排锚索,随着地震幅值的增大,最上排锚索锚固段率先发生滑移破坏失去锚固作用;建筑桩基应变最大值点位于滑动面以下一定深度,且远离边坡坡面的建筑桩基受力大于邻近边坡坡面的建筑桩基;坡顶各点峰值加速度随地震波幅值增大整体表现为线性增大,但在Wenchuan-Wolong波(0.55g)和Sin波(0.4g)工况时,各点峰值加速度相对有所下降,随着地震波幅值增大,各点峰值加速度放大系数在汶川波和正弦波作用下并非单调变化,而是表现为先减小后增大波动变化特点。

NPR锚索对跨断层软岩大变形隧道控制技术研究

为探究NPR锚索对东马场跨断层软岩大变形隧道控制效果,首先对NPR锚索进行静力拉伸试验,验证其恒阻大变形的能力和具有良好的抵御外力的效果;随后开展NPR锚索对东马场隧道围岩变形控制的三维物理模型试验。试验现象和数据表明:在开挖过程中,隧道围岩也没有出现较大垮落和坍塌,NPR锚索对软岩隧道围岩有较好的支护效果。在加载完成后,NPR锚索对非断层处的隧道围岩最大位移约为14 mm,断层处的围岩最大位移约为21 mm,隧道区域所受应力分布的不规律性,导致隧道围岩出现挤压变形,位移曲线呈振荡状。在NPR锚索的支护下,围岩应力最大发生在左拱肩,围岩临空面3 cm处切应力最大(0.3 MPa),隧道未出现大规模的不对称破坏现象,隧道总体呈现出“小塌而不垮”,变形总体可控。

基于虚拟仿真技术的抛锚式英语口语教学模式构建

虚拟仿真技术具备沉浸性、互动性和逼真性,已被广泛运用到英语教学。目前,英语口语教学面临着:教学手段依赖背记输入、教学内容缺乏深度和逻辑性,无法体现英语思维,以及无法提供客观、及时和量化的教学效果评价等局限性。基于虚拟仿真教学平台构建抛锚式英语口语教学模式,通过教学场景虚拟化增加互动、打造完整的虚拟生活或工作流程呈现任务、学生通过问题探究挖掘表达的深刻性和逻辑性,并通过平台的“机评+师评”智能评价方式提供准确可量化的评分,能促进超越已有的教学局限性。

心理账户视角下在线用户转化机理研究

在“宅经济”盛行的今天,提升在线用户转化率是App企业抢占市场、发掘商业潜力的主要途径。基于心理账户视角,运用推拉锚定模型,实证研究在线用户转化机理。研究发现:用户对产品缺陷越厌倦,心理账户的非替代性强度、预算性强度越弱,用户越容易改变心理账户设置与预算分配,进而产生消费行为;用户感知到的产品价值越大,心理账户的非替代性强度、预算性强度越弱,越容易产生消费行为;最优刺激水平高的用户更容易厌倦产品缺陷,心理账户非替代性强度、预算性强度更容易受产品缺陷厌倦感影响;最优刺激水平高的用户更容易感知产品价值,心理账户非替代性强度、预算性强度更容易受感知产品价值影响。据此提出突出付费产品特点、提升用户感知价值、完善用户激励机制、向App用户进行针对性营销推送等提高用户转化率的营销建议。

霍尔锚拖曳运动状态离心模型试验与数值模拟研究

对于平铺或浅埋在海床中的海底管道和电缆,意外的拖锚作业是影响其安全运营的重要因素之一。由于锚在土中的拖动过程中时刻发生着土的大变形和破坏,涉及材料非线性、几何非线性及接触非线性等诸多力学问题,通过解析的研究手段很难准确地分析拖锚过程。采用离心模型试验和数值分析相结合的手段展开拖锚研究,测试和计算了不同重量的船锚在不同类型海床上的运动趋势、拖曳力发展规律、入土深度等。结果表明,在低强度的黏性土海床上拖锚,极有可能会产生一种假抓底现象;在中高强度的黏性土海床上拖锚,锚的拖动过程可以分为土台形成阶段、锚爪楔入阶段和运动稳定阶段三个阶段;在无黏性土和黏性土海床上,达到稳定阶段时拖动的距离分别是锚长的4倍和1.27~1.96倍;对于质量大于6 t的霍尔锚,无论在黏性土海床还是非黏性土海床上,锚爪的入土深度均大于1 m,拖锚作业很有可能会对海管或海缆造成直接损坏,需要引起重视。

抛锚对海底管道影响的离心模型试验研究

锚击是影响海底管道安全运营的重要因素之一。采用天科院TK-C500土工离心机以及新开发的抛锚试验装置开展了抛锚离心模型试验,测量了海底管道的受力变化,分析了抛锚作业对浅埋海底管道的影响。试验结果表明,落距对管道弯矩的变化有着普遍性的影响,管道弯矩增量与落点的水平距离和管道埋深呈现明显的非线性特征。当12.3 t霍尔锚落在φ630管道正上方时,各种不同落距各种不同管道埋深工况,管道弯矩增量都远大于其塑性屈服弯矩,管道的安全运行已经受到了严重威胁。当落距小于3.5 m、水平距离大于1.4 m时和当落距增大到7 m、水平距离大于2.8 m时,管道弯矩增量不会超过塑性屈服弯矩;随着落距继续增大,锚落于管道一定范围内时,都将对管道安全运行产生严重威胁。

无粘结环锚预应力衬砌张拉工艺足尺模型试验研究

针对预应力衬砌张拉过程中易出现应力集中而导致张拉裂缝的现象,通过开展洞外地面足尺模型试验,提出了分级分步张拉顺序和质量控制指标。首先根据钢绞线摩阻测试计算出摩擦系数,随后应用上述张拉顺序和质量控制方法进行自动张拉,并采用磁通量传感器和混凝土应变计分别对钢绞线和内衬混凝土的应力变化开展实测。现场张拉试验结果表明:①钢绞线沿程预应力损失约16.3%,采用的双层钢绞线在实践中可保证较高的有效预应力;②对锚具槽进行分级分步张拉,可使内衬混凝土获得较均匀的封闭环向压应力环,平均压应力达-10.9 MPa;③提出的3项控制指标可进行量化管理,结合自动张拉技术可有效地保证张拉质量。