Influence of a cyclic and dynamic loading history on dynamic properties of dry sand, part I: cyclic and dynamic torsional prestraining

Initial fabric of a soil induced by its cyclic strain history is an important parameter together with the void ratio, state of stress and amplitude in respect to further accumulation of deformations under drained cyclic loading. It is of importance for the further deformation prediction to determine the initial fabric of the grain skeleton or the cyclic loading history of the soil. An attempt is made within this paper to correlate small strain stiffness of non-cohesive soil with its cyclic loading history. The results of performed cyclic and dynamic torsional tests show that small strain shear modulus is only moderately affected by cyclic prestraining even if high amplitudes are applied. A signature of prestraining history is observed in the tests since the sand memorizes its prestraining amplitude and the number of applied cycles.     

Shear modulus and damping ratio of grouted sand

An experimental comparative study of three different grouted sands in terms of their effects on the values of two dynamic properties is presented. The dynamic properties studied are the shear modulus and the damping ratio which are determined with resonant column tests and cyclic triaxial tests. The behaviour of a pure Fontainebleau sand is compared with the behaviour of a Fontainebleau sand grouted with a silicate grout, a micro-fine cement grout and a mineral grout. The effects of the grouting treatment, the type of grout, the confining pressure, and the strains, on the shear modulus and the damping ratio are studied. The test results have shown that grouting improves the stiffness of the sand especially for small strains. Whatever the type of material, confining stress improves the shear modulus whereas it has a negligible effect on the damping ratio. When strain increases, the shear modulus decreases and the damping ratio increases.     

荆江大堤下伏饱和粉细砂动力特性试验研究

针对荆江大堤江陵段下伏地层广泛分布的饱和粉细砂,参照原位试验成果重塑粉细砂试样,按估算的固结应力比(Kc约为1.6)对试样动剪模量、阻尼比及总应力动强度进行测试,结果表明:(1)试样应力-应变骨干曲线与Hardin-Drnevich双曲线模型假设高度吻合,Hardin公式可很好地拟合动模量/阻尼比与动应变的关系。在研究试样密实度范围内,最大动模量随围压和密实度的增加而增加,但围压对动模量的敏感性更高,且相同围压下动剪模量比与动应变关系曲线近乎重合。围压增大或密实度升高均会引起阻尼比的降低,1%应变对应的阻尼比分布在0.15~0.21之间;(2)偏压状态下以累积轴向应变5%作为液化判别标准进行抗液化强度试验,随特征振次及测试围压的增大,液化动剪应力比相应减小,试样振动孔压比最高仅能达到0.8~0.9;(3)由总应力法求取的动内摩擦角与黏聚力均随设定特征振次的增加而下降,且内聚力并非约等于0,表明动力作用下该试样具有一定的黏滞性。     

循环荷载作用下广西红黏土动力特性试验研究

针对广西上林县原状红黏土开展一系列循环加载动三轴试验,分析天然含水率、围压与固结应力比等对红黏土动力特性,包话动应力-动应变关系、动弹性模量以及阻尼比等的影响来研究循环荷载作用下红黏土的动力特性。试验结果表明:广西原状红黏土动应力-动应变关系曲线接近双曲线;由于初始剪应力的影响,达到相同的动应变,在均压固结下所需的动应力比在偏压固结下所需动应力要小;动弹性模量随着动应变的增加而减小,且减小幅度随应变增加逐渐减小,初始应力状态对动弹性模量的影响最为显著;固结应力比、围压、含水率和振动次数等对阻尼比均有影响,综合反映在阻尼比随动应变增加而减小,阻尼比离散性较大,取值范围在0.05~0.20之间。利用Konder双曲线模型对试验数据进行拟合,得到相关参数,可为广西地区原状红黏土动力特性设计和数值计算提供一定的理论和参数支持。     

双向动荷载下重塑红黏土动变形特性研究

利用SDT-20型三轴仪探究双向动荷载下红黏土动变形特性。结果表明:相位差为0其他条件相同时红黏土动剪切模量随径向动荷载幅值增加而减小;双向动荷载下红黏土动剪应变与振动次数近似呈指数型关系增长,并存在一个临界循环次数;随含水率升高和固结应力增大,重塑红黏土破坏模式由受拉破坏变为受压破坏;径向动荷载幅值的增加使重塑红黏土更容易发生受拉破坏;双向动荷载下阻尼比随动剪应变增加无明显规律,动剪应变小于1%时阻尼比的变化无规律,动剪应变大于1%时随动剪应变增加阻尼比处于稳定平衡阶段。含水率对阻尼比变化规律有明显影响,含水率小于20%时阻尼比随含水率增大而增大,含水率大于20%时其对阻尼比影响可以忽略。     

饱和砂土不排水单调剪切特性试验研究——考虑剪切过程中变化的总主应力方向的影响

利用土工静力-动力液压三轴-扭转多功能剪切仪,针对相对密度Dr=30％的福建标准砂,进行了不排水条件下的单调剪切试验。在剪切过程中,控制平均固结应力和中主应力系数保持不变,而总主应力方向不固定。与剪切过程中总主应力方向固定不变条件下的单调剪切试验进行了对比分析。试验研究表明,当饱和砂土试样具有水平沉积面时,初始固结主应力方向与剪切方向的不同组合,导致单调剪切过程中总的主应力方向的不断变化,从而显著地影响着饱和砂土不排水单调剪切特性。总的主应力方向是影响饱和砂土不排水单调剪切特性的最根本原因。     

复杂应力条件下松砂振动孔隙水压力与体变特性的试验研究

利用新研制的土工静力-动力液压三轴-扭转多功能剪切仪,在5种初始主应力方向角与5种中主应力系数相组合的初始固结条件下,对饱和松砂进行了不排水循环扭剪试验。讨论了初始固结条件对不排水条件下饱和松砂孔隙水压力变化规律及对剪胀、剪缩、卸荷体缩等体积变化过程的影响。试验研究表明：（1）分别以稳定残余孔隙水压力和破坏时循环次数归一化后的残余孔隙水压力比和循环次数比之间的关系可以用双曲线模式表达。其参数主要依赖于初始主应力方向,中主应力系数对参数的影响并不显著。归一化后的孔隙水压力比与广义剪应变之间的关系也可以用双曲线模式表达,其中的2个待定参数依赖于初始主应力方向,与中主应力系数无关;（2）在三向非均等固结条件下的不排水循环扭剪试验中,饱和松砂表现出卸荷体缩特性,不同初始主应力方向时,饱和松砂剪缩、剪胀、卸荷体缩呈现出不同的交替变化模式。     

固原重塑黄土动力特性共振柱试验研究

利用GCTS共振柱测试仪研究了干密度和固结压力对固原黄土重塑土动剪切模量和阻尼比的影响及试验数据误差的基本规律。通过设计不同工况的试验条件,对比分析结果表明:相同含水率条件下,最大动剪切模量G_(dmax)随固结压力和干密度的增大而增大。相同干密度条件下,黄土的动剪切模量比随围压的增大而增大;阻尼比随围压的增大而减小;相同围压条件下,黄土动剪切模量比随干密度的增大而增大,阻尼比随干密度的增大而减小;不同剪应变特征点的动剪切模量比和阻尼比试验数据呈现一定的离散性,且离散程度阻尼比明显高于动剪切模量比。研究成果可为该地区场地地震反应分析及工程建设提供基础资料。     

STC加筋砂水平循环剪切与竖向激振特性试验研究

随着中国汽车工业的发展,大量废旧轮胎带来的"黑色污染"问题日益显著。提出一种采用废旧轮胎柱(Scrap tire columns,STC)的加筋土结构,并初步探究其作为基础减隔振材料的可行性。通过室内水平循环剪切试验和竖向激振试验研究STC加筋砂(STCRS)的水平循环剪切和竖向激振特性。结果表明,最大剪应变为1%时STCRS的等效阻尼比未加筋前增加约10%,等效动剪切模量减小20%~25%,水平向减振性能得以提高;STCRS的竖向加速度衰减呈现出速度快、幅值大的特点,竖向减振效果较未加筋砂显著提高。STC加筋砂作为基础减振材料是可行的,且为原形废旧轮胎的资源化利用提供新思路。     

Energy approach to unsaturated cyclic strength of sand

The mechanical response to cyclic loading of saturated cohesionless soils is usually investigated by means of effective stress method considering pore water pressure changes that lead to reduced strength and stiffness. On the other hand, the behavior of partially saturated sands is different from the behavior of saturated sand deposits. The development of negative pore water pressures in particular makes it difficult to estimate the behavior of partially saturated sands. The response of partially saturated sands, however, can be examined in a physically understandable manner by investigating their energy characteristics independently of pore pressure behavior. To establish a general framework for understanding the behavior of partially saturated sand, a total of 52 resonant column and dynamic torsional shear tests were conducted under undrained conditions. The effects of factors such as the amplitude of shear strain, relative density, saturation ratio and confining pressure on the dynamic characteristics of the sand and on energy dissipation were studied. The use of the energy concept in the evaluation of partially saturated soils is shown to be a promising method for the evaluation of the cyclic behavior of partially saturated sands.     

Evaluation of static and dynamic properties of sand–fines mixtures through the state and equivalent state parameters

The results of an experimental investigation on sands with low plastic fines content are presented. Specimens with a low plastic fines content of 0%, 15%, 30%, 40%, 50% and 60% by weight were tested in drained and undrained triaxial compression tests. The soil specimens were tested under three different categories: (1) at a constant void ratio index; (2) at the same peak deviator stress in a triaxial test; and (3) at a constant relative density. By a combination with our published experimental data in recent years, the critical state line and various state parameters have been proposed and discussed for a further understanding the behavior of sand–fines mixtures. Results indicated that a unique critical line was obtained from drained and undrained triaxial compression tests for each fines content. The effects of fines content on critical state line (CSL) were recognized and discussed. In addition, the results revealed that normalized peak undrained shear stress, cyclic resistance ratio, and compression index were found to be a good correlation with state parameter Ψ as well as equivalent state parameter Ψ*. An increasing state parameter decreased the normalized peak undrained shear stress, and cyclic resistance ratio; however, the compression index increased with an increase in state parameter. Finally, there were no correlations such as the coefficient of consolidation–state parameter and maximum shear modulus–state parameter due to the different testing condition.     

High strain dynamic modulus and damping of chemically grouted sand

Laboratory resonant column and cyclic triaxial tests are performed to determine the dynamic response (i.e. shear modulus and damping) of chemically grouted sand. The effect of chemical grouting is evaluated as a function of shearing-strain amplitude, confining stress, cycling prestrain, number of cycles, grout type, concentration, and curing time. The test results show that the shearing-strain amplitude, grout type and grout concentration have significant effects on the shear modulus and damping ratio of the test specimens. The increased addition of sodium silicate grout, which produces stiff gels, improved the shear modulus of the test sand. The acrylate (AC-400) and polyurethane (CG5610) grout, which produces flexible (rubber-like) gels, improved the damping capacity of the sand with increasing grout concentration. The addition of chemical grout greatly reduces the effect of cyclic prestraining over untreated sands. In the case of dense sands, the reduction of cyclic prestraining is less pronounced than in loose sands, which have a higher potential for particle movement and reorientation.     

循环荷载下南京片状细砂的动应力——应变关系

以片状颗粒成分为主的片状结构砂与常用的圆形颗粒标准石英砂相比,在物理力学特性上有显著的差异。循环荷载作用下,饱和砂土振动孔压上升会导致土体刚度发生软化,当振动孔压累积达到一定水平时,会产生液化现象,从而引起土体结构发生破坏。采用英国WFI动三轴仪,研究了南京片状细砂在循环荷载作用下,静偏应力水平、循环应力比水平和循环次数对其动应力一应变关系的影响,考虑每一次循环过程中动应力—应变关系滞回曲线的卸载及再加载割线动剪切模量Gsec和最大割线模量Gmax的变化特性,建立了动剪模量软化的经验公式;静偏应力水平对动剪模量软化有显著影响,随着循环次数的增加,动应力—应变滞回圈逐渐向应变累积方向滑移和向应变轴方向倾斜,且彼此分离;考虑循环软化特性,采用修正的Masing准则,描述了循环荷载下南京片状细砂的动应力—应变关系。     

西昌昔格达组黏土岩动力特性试验研究

在大量动三轴试验的基础上,研究了不同固结条件(σ3c=100,200,400 kPa,kc=1.0,1.5,2.0)下西昌昔格达组黏土岩的动应力-动应变关系、动弹性模量、阻尼比及动强度特性。研究结果表明:西昌昔格达组黏土岩在一定条件下的动应力-动应变关系符合幂函数模型。动应力随着固结围压σ3c或固结主压力比kc增大而增大。在相同围压下,达到相同动应变时,偏压固结状态比均压状态所需要的动应力大。当其他条件相同时,动弹性模量随固结压力或固结主压力比增大而增大,随着动应变的增加而减小并趋于稳定。最大动弹性模量Ed0与σ3c/Pa、kc均有良好的幂函数关系,且对不同固结应力状态条件可以归一。阻尼比随动应变增大而增大,但增大幅度随动应变增大而迅速减小,阻尼比随围压或固结主压力比增大而减小,但它们对阻尼比影响较小。不同固结应力状态下(λ/λmax)与(1-Ed/Ed0)有良好的幂函数关系。西昌昔格达组饱和黏土岩动剪应力τd随固结围压σ3c或固结主压力比kc增大而增大,随振动次数增加而减小。τd/σm均随固结围压σ3c增大而减小,随固结压力比kc增大而增大。动剪应力τd与平均压力σm、固结主压力比kc有较好的线性关系。     

土的动剪切模量、阻尼比和泊松比研究进展

介绍了现场测试与实验室测试土的最大动剪切模量的差别、动剪切模量和阻尼比与剪应变关系的表达式及其地区经验成果、固结比对最大动剪切模量影响、动泊松比研究、实验误差及其对地震动的影响等方面的主要成果。提出应加强动泊松比研究,加强共振柱和动三轴试验土动力学参数统一的数学模型研究,加强土动力学参数在均等固结与非均等固结条件下关系研究,加强土动力学参数与土的常规物理力学性质指标关系研究和土动力学参数实验误差研究。     

相对密实度对含黏粒砂土动剪切模量与阻尼比影响的试验研究

利用GCTS共振柱系统开展一系列含黏粒砂土的动力特性试验,研究相对密实度对含黏粒砂土动剪切模量和阻尼比的影响,并探讨其影响规律。试验结果表明:相对密实度对动剪切模量、动剪切模量比、阻尼比、最大动剪切模量均有影响。动剪切模量随着相对密实度的增加而变大,但动剪切模量增大的幅度更大;当黏粒含量较小时,动剪切模量比随相对密实度的增加而变大,当黏粒含量较高(≥16%)时,相对密实度对动剪切模量比基本没有影响。阻尼比随相对密实度的增加逐渐变小;最大动剪切模量随相对密实度的增加而增大,但黏粒含量不同,其最大动剪切模量增大幅度不同,同时建立最大动剪切模量随相对密实度变化的关系式,并给出相关参数。     

Dynamic shear modulus and damping ratio of frozen compacted sand subjected to freeze–thaw cycle under multi-stage cyclic loading

Frozen soil plays an important role on the stability of railway and highway subgrade in cold regions. However, the dynamic properties of frozen soil subjected to the freeze–thaw cycles have rarely been investigated. In this study, cryogenic cyclic triaxial tests were conducted on frozen compacted sand from Nehe, Heilongjiang Province in China which was subjected to the closed-system freeze–thaw cycles. A modified Hardin hyperbolic model was suggested to describe the backbone curves. Then, dynamic shear modulus and damping ratio versus cyclic shear strain were analyzed under the different freeze–thaw cycles, temperatures, initial water contents, loading frequencies and confining pressures. The results indicate that the freeze–thaw process plays a significant effect on the dynamic shear modulus and damping ratio, which slightly change after one freeze–thaw cycle. Dynamic shear modulus increases with increasing initial water content, temperature, loading frequency and confining pressure. Damping ratio increases with increasing initial water content, while decreases with increasing temperature and loading frequency. The effect of confining pressure on the damping ratio was found not significant. Furthermore, the empirical expressions were formulated to estimate dynamic shear modulus and damping ratio of the frozen compacted sand. The results provide guidelines for evaluating the infrastructures in cold regions.     

豫东平原粉质黏土动剪切模量与阻尼比试验研究

粉质黏土动剪切模量和阻尼比是建筑场地动力稳定性评价的重要动力参数。为分析豫东平原粉质黏土的动力特性,利用双向振动三轴仪试验系统,对取自豫东平原地区的粉质黏土进行动三轴试验,研究粉质黏土状态及固结压力对动剪切模量和阻尼比的影响。研究发现:可塑粉质黏土(PSC)与软塑粉质黏土(SSC)的动力特性存在相近的变化趋势,动剪切模量比随剪应变的增大而减小,阻尼比随剪应变的增大而增大;在同一应变水平下,SSC的动剪切模量比随固结压力的增大而增大、PSC的阻尼比随固结压力的增大而增大;在相同试验条件下,PSC的最大动剪切模量大于SSC的最大动剪切模量;在剪应变小于0.01%时两者动剪切模量快速衰减,剪应变达到0.03%时两者动剪切模量趋于一致。根据现有的粉质黏土动剪切模量与阻尼比研究成果,结合试验数据,提出粉质黏土动剪切模量比、阻尼比随剪应变变化的数学模型,为豫东平原粉质黏土场地工程建设中的动力稳定性评价提供依据。     

Liquefaction potential and strain dependent dynamic properties of Kasai River sand

The availability of efficient numerical techniques and high speed computation facilities for carrying out the nonlinear dynamic analysis of soil-structure interaction problems and the analysis of ground response due to earthquake loading increase the demand for proper estimation of dynamic properties of soil at small strain as well as at large strain levels. Accurate evaluation of strain dependent dynamic properties of soil such as shear modulus and damping characteristics along with the liquefaction potential are the most important criteria for the assessments of geotechnical problems involving dynamic loading. In this paper the results of resonant column tests and undrained cyclic triaxial tests are presented for Kasai River sand. A new correlation for dynamic shear damping (D_s) and maximum dynamic shear modulus (G_max) are proposed for the sand at small strain. The proposed relationships and the observed experimental data match quite well. The proposed relationships are also compared with the published relationships for other sands. The liquefaction potential of the sand is estimated at different relative densities and the damping characteristics at large strain level is also reported. An attempt has been made to correlate the G_max with the cyclic strength of the soil and also with the deviator stress (at 1% strain) from static triaxial tests.     

The stiffness degradation and damping ratio evolution of Taipei Silty Clay under cyclic straining

The non-linear behavior of Taipei Silty Clay under cyclic strain loading was investigated through a series of undrained cyclic strain-controlled tests. The Ramberg–Osgood equation was used with our proposed stiffness degradation model to calculate degraded secant moduli. The proposed degradation model is simple in that it has only one more component than Idriss's model, the modulus ratio for the first cycle, which reflects the effects of the previous cyclic strain history and the current level of the cyclic strain amplitude, and can be used to describe softening and hardening behavior under irregular cyclic straining. It was found that the Ramberg–Osgood equation successfully predicts the damping ratio for small to medium strains. However, it overestimates the damping ratio for larger strains, so we suggest it can be corrected with a damping ratio index. In addition, the proposed equation for describing the evolution of the damping ratio provides the means to assess the variation for Taipei Silty Clay in the measured damping ratio with both the number of cycles and the strain amplitude.