A density‐dependent elastoplastic hydro‐mechanical model for unsaturated compacted soils

This paper presents a three‐dimensional elastoplastic constitutive model for predicting the hydraulic and mechanical behaviour of unsaturated soils. It is based on experimental results obtained from a series of controlled‐suction triaxial tests on unsaturated compacted clay with different initial densities. Hydraulic hysteresis in the water‐retention behaviour is modelled as an elastoplastic process, with the elastic part modelled by a series of scanning curves and the elastoplastic part modelled by the main drying and wetting curves. The effect of void ratio on the water‐retention behaviour is studied using data obtained from controlled‐suction wetting–drying cyclic tests on unsaturated compacted clay with different initial densities. The effect of the degree of saturation on the stress–strain‐strength behaviour and the effect of void ratio on the water‐retention behaviour are considered in the model, as is the effect of suction on the hydraulic and mechanical behaviour. The initial density dependency of the compacted soil behaviour is modelled by experimental relationships between the initial density and the corresponding yield stress and, thereby, between the initial density and the normal compression line. The model is generalized to three‐dimensional stress states by assuming that the shapes of the failure and yield surfaces in the deviatoric stress plane are given by the Matsuoka–Nakai criterion. Model predictions of the stress–strain and water‐retention behaviour are compared with those obtained from triaxial tests with different initial densities under isotropic compression, triaxial compression and triaxial extension, with or without variation in suction. The comparisons indicate that the model accurately predicts the hydraulic and mechanical behaviour of unsaturated compacted soils with different initial densities using the same material constant. Copyright © 2006 John Wiley & Sons, Ltd.     

考虑吸力效应的非饱和黏土回弹模量预估模型

回弹模量是反映路基弹性支撑能力的重要指标,并受运营期间基质吸力变化的显著影响。通过3种压实黏土试样的土-水特征曲线试验和重复动三轴试验,研究了回弹模量与基质吸力的相关性,并基于非饱和土有效应力原理,提出了考虑吸力效应的回弹模量预估模型。结果表明：基质吸力与回弹模量之间具有较强的非线性相关性,可采用指数形式进行两者的拟合;含水率由最佳含水率-4%提升至最佳含水率+4%时,受基质吸力减小的影响,回弹模量降幅达到29.1%～39.0%;在 土-水特征曲线过渡区,采用以饱和度表征的有效应力参数,可较好地反映基质吸力对于回弹模量的贡献,预估效果优于采用残余含水率或进气值相关的有效应力参数;在相同饱和度的情况下,黏粒含量越多、塑性指数越高,基质吸力对有效应力的贡献比例越小。     

干湿路径影响粉土小应变剪切模量的试验研究

天然土尤其是地表浅层土常处于非饱和状态,其小应变剪切模量是预测地基变形及土工结构物动力反应的一个重要参数。通过对非饱和压实粉土三轴样进行弯曲元试验,研究了吸力和干湿路径对其小应变剪切模量的影响。试验结果表明,非饱和压实粉土样的小应变剪切模量各向异性忽略不计;小应变剪切模量G0(vh)、G0(hh)和G0(hv)均随吸力增大而非线性增大;同一吸力下不同干湿路径上的土样,饱和度不同,其小应变剪切模量随饱和度升高而减小,主要原因是土的平均骨架应力和土中毛细水的作用。根据试验结果对非饱和土小应变剪切模量的半经验公式进行了改进,同时考虑了吸力与饱和度的作用。     

Three‐dimensional elasto‐plastic model for unsaturated compacted soils with different initial densities

This paper presents an elasto‐plastic model for unsaturated compacted soils and experimental results obtained from a series of suction‐controlled triaxial tests on unsaturated compacted clay with different initial densities. The initial density dependency of the compacted soil behaviour is modelled by establishing experimental relationships between the initial density and the corresponding yield stress and thereby between the initial density and the location and slope of normal compression line. The model is generalized to three‐dimensional stress states by assuming that the shapes of the failure surface and the yield surface in the deviatoric plane are given by the extended SMP criterion. A considerable number of the isotropic compression, triaxial compression and extension tests on unsaturated compacted clay with different initial densities were performed using a suction‐controllable triaxial apparatus, to measure the stress–strain–volume change in different stress paths and wetting paths. The model has well‐predicting capabilities to reproduce the mechanical behaviour of specimens compacted under different conditions not only in isotropic compression but also in triaxial compression and triaxial extension. Copyright © 2003 John Wiley & Sons, Ltd.     

非饱和压实土率敏性及蠕变时效特征试验研究

为研究部分饱和状态下高填方回填土工后长期变形,对非饱和压实土在可控基质吸力下分别开展率敏性和蠕变试验,并分析两者间时效对应关系。率敏性试验采取不同加载速率的三轴剪切,分析基质吸力（0、100、200、300 kPa）、加载速率（0.40、0.02 mm/min）以及超固结比（1、4和8）对土体强度和变形特征的影响,并确定三轴剪切蠕变的三级加载应力水平为抗剪强度的0.45、0.65、0.85倍;在4种可控基质吸力（0、100、200、300 kPa）下参考陈氏加载法,按三应力水平分级加载开展非饱和压实土三轴剪切蠕变试验。试验结果表明：随着基质吸力的增加,其率敏性参数ρ 减小,其率敏性降低;随着基质吸力逐渐增大,其蠕变初始最大速率、稳定蠕变速率以及蠕变变形量均显著减小;蠕变试验确定的应变速率−应变关系线与率敏性试验获得的应变速率−应变数据点基本吻合,证明两者间存在一定时效对应关系,且随着基质吸力的增大,这种时效对应关系更显著。     

非饱和压实黄土结构特性试验研究

对增（减）湿到相同含水率及相同干密度的不同结构性非饱和压实黄土进行土-水特征曲线试验和三轴剪切试验,研究制样含水率引起的结构变化对非饱和压实黄土基质吸力、应力-应变特征及结构性参数的影响。研究结果表明：制样含水率引起的结构性对非饱和压实黄土的土-水特征曲线有明显的影响,小于塑限时基质吸力随制样含水率的增大而增大,最优制样含水率时非饱和压实黄土具有均匀小孔隙的团粒凝聚结构使其吸力相对最大;应力-应变曲线在最优结构状态时位于坐标最上端,小于最优制样含水率时的结构弱化程度相对较低,其应力-应变曲线逐渐下移,大于最优制样含水率时土样的结构弱化程度较高,其应力-应变曲线位于最下端;定义的结构性参数m?r能够合理反映压实黄土的结构性,弥补了压实土工程中用最优含水率和最大干密度指标无法反映土结构性影响的不足;屈服结构性参数m?r0能够合理反映出不同制样含水率压实黄土的结构弱化程度,结构弱化程度还反映在三轴剪切破坏强度上。     

A water retention model accounting for void ratio changes in double porosity clays

This paper presents a constitutive model that predicts the water retention behaviour of compacted clays with evolving bimodal pore size distributions. In line with previous research, the model differentiates between the water present inside the saturated pores of the clay aggregates (the microstructure) and the water present inside the pores between clay aggregates (the macrostructure). A new formulation is then introduced to account for the effect of the macrostructural porosity changes on the retention behaviour of the soil, which results in a consistent evolution of the air-entry value of suction with volumetric deformations. Data from wetting tests on three different active clays (i.e. MX-80 bentonite, FEBEX bentonite, and Boom clay), subjected to distinct mechanical restraints, were used to formulate, calibrate, and validate the proposed model. Results from free swelling tests were also modelled by using both the proposed double porosity model and a published single porosity model, which confirmed the improvement in the predictions of degree of saturation by the present approach. The proposed retention model might be applied, for example, to the simulation of the hydromechanical behaviour of engineered bentonite barriers in underground nuclear waste repositories, where compacted active clays are subjected to changes of both suction and porosity structure under restrained volume conditions.

     

饱和度对非饱和土力学性质的影响

现在被广泛公认的由Fredlund提出的非饱和土力学的双参数理论,即净应力和吸力为非饱和土的应力状态量,不能直接考虑饱和度或含水率对非饱和土的应力-应变关系和强度的影响。在非饱和土三轴试验结果表明,即使在净应力和吸力路径相同的条件下,具有不同饱和度试样的应力-应变关系和强度也是不同的。其他条件相同时,试样饱和度越高,其应力比-应变关系曲线越高,强度越大。最新的水力-力学特性耦合的弹塑性本构模型可以定量地表示上述非饱和土的性质     

广西红粘土击实样强度特性与胀缩性能

通过对广西贵港红粘土重型击实样的室内试验研究,探讨了其力学特性、胀缩性能、孔径分布特征与含水量之间的关系。结果表明：干密度指标总体上能反映红粘土击实样的强度规律,但非饱和击实样强度峰值对应的含水量因基质吸力作用而偏小,饱和后土体由于吸水膨胀与基质吸力的消失,使得强度峰值对应含水量较饱和前明显增大,红粘土在最优含水量下压实,虽可获得很高的压实度,但饱和后的强度并非最大;红粘土击实样的胀缩性能主要由含水量决定,同时,受到干密度的影响;孔隙主要以孔径在0.01～0.05μm范围内的小孔隙为主,为进一步掌握红粘土的工程力学特性提供了帮助。     

Effect of degree of saturation on mechanical behaviour of unsaturated soils and its elastoplastic simulation

The two stress-state variable approach has been widely used in interpreting unsaturated soil behaviour. However this approach cannot take into account the effect of degree of saturation or water contents on the stress–strain behaviour and strength of unsaturated soils. The triaxial test results presented in this paper show that even if the same path of net stress and suction is followed, the stress–strain relation and strength are different due to different degrees of saturation. When other conditions are the same, the higher the degree of saturation for the soil sample is, the higher the stress ratio corresponding to a given axial strain will be. This effect can be modeled by using an elasto-plastic constitutive model coupling hydraulic and mechanical behaviour of unsaturated soils. Comparisons between the predicted and measured results are presented, which demonstrate that the model can quantitatively simulate the influence of the degree of saturation on stress–strain behaviour and strength of unsaturated soils.     

非饱和粉土静、动强度对比试验研究

针对非饱和重塑粉土,利用改进的可控制吸力式非饱和土静力-动力液压三轴-扭转多功能剪切仪,进行了多组固结排水非饱和土静、动三轴试验,探讨了非饱和粉土静、动强度特性,分析了粉土静三轴强度随固结压力、吸力变化的规律,以及动强度随固结压力、吸力以及破坏振动次数变化的规律,研究表明粉土静、动强度之间具有很强的相关性。最后,通过归一化处理提出了利用粉土的静三轴强度推求相应的动力强度曲线的公式,从而达到在非饱和土地基稳定性分析中减少工作量的目的。     

非饱和黏土动力特性及等价黏弹性模型的试验研究

针对非饱和重塑黏土,利用改进的非饱和土静力-动力液压三轴-扭转多功能剪切仪,在固结排水（CD）条件下进行了应力控制式分级加载的循环三轴试验,通过对试验结果的对比分析,探讨了初始固结压力和基质吸力(孔隙气压力Ua与孔隙水压力Uw之差)对非饱和土动应力-动应变关系特性的影响。以此为基础,将Hardin-Drnerich等价黏弹性模型和Masing加卸载准则进行了改进,并得到了可以考虑基质吸力的非饱和黏土的等价黏弹性模型。进而对试验数据与模型预测结果进行比较,结果表明这种改进的非饱和土等价黏弹性模型能较好预测各种基质吸力下非饱和土的动应力-动应变关系。     

巴东组非饱和红土强度与变形特性试验研究

宜昌-巴东段高速公路修建中形成了大量的路堑边坡,上覆为巴东组红层残坡积红土。降雨条件下,土体强度急剧下降,导致大量路堑边坡失稳。目前针对巴东组残坡积红土强度与变形特性开展非饱和试验的研究较少,为探索基质吸力对红土强度的影响,对红土进行了土水特征曲线、三轴强度试验,采用GDS三轴系统对红土进行了饱和及非饱和剪切试验,非饱和三轴试验采用了常含水量试验方法。结果表明:基质吸力对巴东红土强度影响很大。土体强度随吸力增大而呈非线性增长; 而基质吸力随着含水量增大而减小,即巴东组非饱和红土强度特性随土体含水量增大而变差。最后拟合出巴东非饱和红土的经验抗剪强度公式。研究成果对该区域工程实践具有一定的参考意义。     

基于CD三轴试验的非饱和黄土吸应力强度参数确定

非饱和土强度参数的确定是其能够用于工程实际的关键。目前公认的非饱和土强度理论有Bishop的单变量理论、Fredlund的双变量理论以及Lu Ning的吸应力强度理论。其中吸应力强度理论基于吸应力特征曲线,可直接由常规三轴试验得出,回避了测定基质吸力的问题,便于在工程实际中推广。本文通过不同含水率的三轴CD试验,测得陕西泾阳原状Q₂（L₅）黄土的有效强度参数。结果表明,该黄土不同含水率的有效内摩擦角基本接近;有效黏聚力随含水率的增大呈指数递减,当含水率超过塑限时,黏聚力趋于定值。根据有效黏聚力和吸应力的关系,可以获得吸应力和含水率的关系,即吸应力特征曲线,并通过拟合得出吸应力函数,以及非饱和土强度表达式。     

Yielding of Silt at High Temperature and Suction Magnitudes

This study presents an evaluation of yielding mechanisms for unsaturated, compacted silt using drained triaxial compression tests with control of elevated temperatures and high suction magnitudes. After anisotropic compression, some compacted silt specimens were heated by approximately 40 °C before a suction of approximately 300 MPa was applied, while others were heated after suction application. A frictional response was observed for the specimens sheared under high suction magnitudes, in the form of a consistent increase in peak shear strength with increasing net confining stress. An effective stress analysis was used to evaluate the trends in the peak shear stress and the role of stress history for the different specimens. A single peak failure envelope was observed when the shear strength data was interpreted in terms of the mean effective stress. Changes in preconsolidation stress were estimated by identifying the intersections between a thermo-elasto-plastic yield function and the experimental peak shear strength values. Soil specimens heated before application of high suction values had lower peak shear strengths than reference specimens at high suction and ambient temperature. This behaviour is consistent with thermal softening trends observed in soils heated under low suction values. However, soil specimens heated after suction application had greater peak shear strengths than the reference specimens. This indicates heating under high suction results in hardening. The impact of suction on the preconsolidation stress was found to be better represented by a power law model at high suction magnitudes than other available models. The estimated preconsolidation stress values were used to evaluate the impacts of stress history on the thermal volume change response, which matched well with data from tests on saturated specimens.     

非饱和压实土率相关变形特征与时效模型

为研究高填方路堤压实土率相关变形特征,对不同压实度的非饱和压实土分别开展了不同加载速率以及不同围压条件下的CD三轴剪切试验,探讨了不同工况下压实土的剪切强度指标;借助GDS饱和土静态三轴仪的围压控制器来间接测定非饱和压实土体变的途径。试验结果表明：压实土强度及变形特征具有明显的时间相依性,加载速率越大,压实土的抗剪强度越高,超固结变形特性越强,抗剪强度指标黏聚力c值增幅较大、内摩擦角 值增幅较小;低围压下,压实土呈应变软化及剪胀变形,且压实度越高,应变软化及剪胀变形越显著,c值增加明显、 值增加缓慢。采用基于下负荷面的弹黏塑性本构模型对路基压实土的率相关变形特征进行表征,预测结果与试验数据吻合良好,表明该模型适用于高填方路堤长期沉降分析。     

非饱和网纹红土比例加载特性研究

本文利用应力控制式全自动GDS静三轴仪对含水率相同、干密度相同重塑网纹红土进行分级加载条件下不同恒应力比路径、不同基质吸力的三轴固结排水试验,研究了非饱和网纹红土比例加载特性。研究结果表明：在比例加载条件下,非饱和网纹红土的基质吸力平衡过程中,反压排水量有一个明显的转折点,此转折点可作为判断基质吸力是否到达平衡的时间点;通过比较不同基质吸力下的轴向应变和时间的关系曲线发现,基质吸力的增加引起轴向应变增加;在偏应力保持不变的条件下,基质吸力的增加没有引起轴向应变的明显增加;不同基质吸力下的偏应力和净平均应力呈直线关系,其斜率近似为恒应力比;提出一种可以预测非饱和网纹红土比例加载条件下的径向应变的方法。     

Application of Hysteretic Trends in the Preconsolidation Stress of Unsaturated Soils

This paper involves an evaluation of a relationship describing the evolution in yield stress of unsaturated soils during hydraulic hysteresis, and an application of this relationship in an elasto-plastic framework to predict the compression curves of unsaturated soils under drained (free outflow of air and water with constant suction) or undrained (constant water content with no outflow of water and varying suction) conditions. The yield stress was quantified as the apparent mean effective preconsolidation stress obtained from compression tests reported in the literature on specimens that had experienced different hydraulic paths. It was observed that the preconsolidation stress does not follow a hysteretic path when plotted as a function of matric suction, but does when plotted as a function of the degree of saturation. Accordingly, an existing logarithmic relationship between the preconsolidation stress and matric suction normalized by the air entry suction was found to match the experimental preconsolidation stress results. This same relationship was also able to satisfactorily predict the trends in preconsolidation stress with degree of saturation by substituting the hysteretic soil–water retention curve (SWRC) into the place of the matric suction. The relationship between preconsolidation stress and suction was combined with an elasto-plastic framework to predict the compression curves of soils during drained compression, while the wetting-path relationship between preconsolidation stress and degree of saturation was combined with the framework to predict the compression curves of soils during undrained (constant water content) compression. A good match was obtained with experimental data from the literature, indicating the relevance of considering the hysteretic SWRC and preconsolidation relationships when simulating the behavior of unsaturated soils following different hydro-mechanical paths.     

吸力历史对非饱和土力学性质的影响

现在被广泛公认的由Fredlund提出的非饱和土力学的双参数理论,即净应力和吸力为非饱和土的应力状态变量,不能直接考虑吸力历史及其饱和度对非饱和土的应力-应变关系和强度的影响。非饱和土三轴试验结果表明,即使净应力和吸力相同的条件下,经过干-湿循环试样与未经过干-湿循环试样的应力比-应变关系和强度是不相同的。在其他条件相同时,经历过干-湿循环的试样比未经过干-湿循环试样的应力比-应变关系要高、强度大和体变小。经过干-湿循环试样的饱和度低而强度高,主要是由于经过先期较高的吸力,相当于受过较大的前期有效压力,使试样成为超固结土。更多不同吸力历史的对比试验有待于进一步研究,以便为非饱和土的水力-力学特性耦合弹塑性本构模型定量地表示上述非饱和土的性质提供基础性试验数据。     

Cavity expansion in unsaturated soils exhibiting hydraulic hysteresis considering three drainage conditions

Cavity expansion theory assists in the interpretation of in situ tests including the cone penetration test and pressuremeter test. In this paper, a cavity expansion analysis is presented for unsaturated silty sand exhibiting hydraulic hysteresis. The similarity technique is used in the analysis. The soil stress–strain behaviour is described by a bounding surface plasticity model. Results of oedometric compression tests, isotropic compression tests and triaxial shear tests for both saturated and unsaturated states are used to calibrate the model. The void ratio, suction, degree of saturation and effective stress are fully coupled in the analysis. The influence of where the initial hydraulic state is located on the soil–water characteristic curve on the cavity wall pressure is investigated and found to be significant. Also, the effects of three different drainage conditions (constant suction, constant moisture content and constant contribution of suction to the effective stress) on cavity wall pressure are studied. It is found that the drainage condition in which the contribution of suction to the effective stress is constant offers a good approximation to the other two. This may simplify interpretation of in situ tests. When testing occurs quickly, meaning a constant moisture content condition prevails, a constant contribution of suction condition can be assumed without loss of significant accuracy. The contribution of suction assumed in the interpretation can be taken as being equal to the in situ value, although this discovery may not be applicable to all soil types, constitutive models and soil–water characteristic curves. Copyright © 2015 John Wiley & Sons, Ltd.