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1.
分数阶微分理论在土体静力黏弹性本构模型中得到了广泛应用,然而,其在动力弹塑性模型中的应用尚不多见。为此,基于分数阶微积分理论分析了粗粒料在循环荷载下的变形特性,提出了粗粒料在循环荷载下的分数阶应变率;并以此为基础,进一步建立了粗粒料受静动力荷载作用下的边界面塑性力学本构模型。所提出模型包含10个参数,均可以运用常规三轴试验获得。为了验证所提出模型,选取了几种已有不同文献中的不同粗粒料试验数据进行了模拟,发现,所提出的模型可以较好地模拟粗粒料在静动力加载下的应力-应变行为,对于循环荷载下的长期变形也能较好地预测。 相似文献
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The theory of fractional calculus has been successfully applied to model the triaxial behaviour of soils under static loading conditions. However, limited work has been carried out in using the fractional calculus to describe the cyclic behaviour of granular soils. In this paper, a fractional order constitutive model for granular soils under drained cyclic loading is proposed by incorporating the concept of fractional rate for strain accumulation. The fractional rate for strain accumulation is obtained from the analysis of the experimental data by utilizing the fractional calculus. Comparison between the test results and model predictions is presented. The key feature of the proposed model is that it can reasonably characterise the cyclic deformation of granular soils under both low and high loading cycles. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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以京津高铁和杭州地铁沿线的两种典型粉质黏土为研究对象,并采用英国GDS多功能三轴仪完成了静、动力强度测试,研究了两种土的静力不排水抗剪强度和在交通荷载高振次循环下的动强度、临界动应力比、应变发展模式以及振后抗剪强度等方面的差异。对比发现,长期循环荷载作用下两种土的应变发展和振后强度均有很大不同。与京津地区粉质黏土相比,杭州地铁沿线土含水率高、孔隙比大、密度低、灵敏度高、强度低。两种原状土在小幅振动后土体强度略有增大,而随振幅增大,振后强度将低于未经历振动时的不排水强度值;而重塑土振后强度均低于静剪强度。 相似文献
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A database with about 60 undrained monotonic and cyclic triaxial tests on kaolin is presented. In the monotonic tests, the influences of consolidation pressure, overconsolidation ratio, displacement rate and sample cutting direction have been studied. In the cyclic tests, the stress amplitude, the initial stress ratio and the control (stress vs. strain cycles) have been additionally varied. Isotropic consolidation leads to a failure due to large strain amplitudes with eight-shaped effective stress paths in the final phase of the cyclic tests, while a failure due to an excessive accumulation of axial strain and lens-shaped effective stress paths was observed in the case of anisotropic consolidation with \(q^{\text{ ampl }}< |q^{\text{ av }}|\). The rate of pore pressure accumulation grew with increasing amplitude and void ratio (i.e. decreasing consolidation pressure and overconsolidation ratio). The “cyclic flow rule” well known for sand has been confirmed also for kaolin: With increasing value of the average stress ratio \(|\eta ^{\text{ av }}| = |q^{\text{ av }}|/p^{\text{ av }}, \) the accumulation of deviatoric strain becomes predominant over the accumulation of pore water pressure. The tests on the samples cut out either horizontally or vertically revealed a significant effect of anisotropy. In the cyclic tests, the two kinds of samples exhibited an opposite inclination of the effective stress path. Furthermore, the horizontal samples showed a higher stiffness and could sustain a much larger number of cycles to failure. All data of the present study are available from the homepage of the first author. They may serve for the examination, calibration or improvement in constitutive models dedicated to cohesive soils under cyclic loading, or for the development of new models. 相似文献
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A three-dimensional elastoplastic soil constitutive model capable of capturing the response of granular soils under low-frequency cyclic loading is introduced and verified. The model is piecewise linear with a hyperbolic stress-strain relationship. The size of the hysteresis loop is controlled using different scaling factors with a shift in the backbone curve at load reversal. The model introduces a new algorithm to better capture the soil’s response upon reloading for plane strain. Model verification with experimental results at different scales shows that the model has good capabilities in capturing the response of granular soils under low frequency cyclic loading. 相似文献
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New excavation or tunnelling affects the stress state of soils in ground. The change of stress state due to excavation may affect the cyclic behaviour of soils. Cyclic loading, such as traffic and earthquake loading, induced ground deformation may be greater than expected if such effect is not considered. A series of cyclic triaxial tests were performed on Sydney sand with different relative densities. The effect of unloading sequence on deformation of the sand under cyclic loading was simulated by reducing lateral stress in steps between loading cycles. The dependence of strain accumulation on the magnitude of confining pressure reduction and on unloading stress paths was studied. The results indicate that the sand has a memory of stress history and the stress history of such unloading enlarges the strain accumulation during the subsequent cycles, and the greater the reduction of lateral stress, the greater the accumulated strain. Under cyclic loading, the accumulated axial strain could increase nonlinearly or linearly with the ratio of unloading magnitude to initial mean effective stress, depending on the stress state before cyclic loading. The unloading stress paths have limited effects on the final accumulated strain if the initial and final stress states are the same. The variation of strain accumulation direction attributes to the change of average stress ratio resulting from lateral stress reduction, but hardly depends on relative density and unloading stress paths. The strain accumulation direction after unloading roughly agrees with the modified Cam Clay flow rule.
相似文献7.
This research presents the results of laboratory experiments during the investigation of tensile strength–strain characteristics of Brisbane tuff disc specimens under static and diametral cyclic loading. Three different cyclic loading methods were used; namely, sinusoidal cyclic loading, type I and II increasing cyclic loading with various amplitude values. The first method applied the stress amplitude?cycle number (s–n) curve approach to the measurement of the indirect tensile strength (ITS) and fracture toughness (K IC) values of rocks for the first time in the literature. The type I and II methods investigated the effect of increasing cyclic loading on the ITS and K IC of rocks. For Brisbane tuff, the reduction in ITS was found to be 30 % under sinusoidal loading, whereas type I and II increasing cyclic loading caused a maximum reduction in ITS of 36 %. The maximum reduction of the static K IC of 46 % was obtained for the highest amplitude type I cyclic loading tested. For sinusoidal cyclic loading, a maximum reduction of the static K IC of 30 % was obtained. A continuous irreversible accumulation of damage was observed in dynamic cyclic tests conducted at different amplitudes and mean stress levels. Scanning electron microscope images showed that fatigue damage in Brisbane tuff is strongly influenced by the failure of the matrix because of both inter-granular fracturing and trans-granular fracturing. The main characteristic was grain breakage under cyclic loading, which probably starts at points of contact between grains and is accompanied by the production of very small fragments, probably due to frictional sliding within the weak matrix. 相似文献
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Liquefaction is associated with the loss of mean effective stress and increase of the pore water pressure in saturated granular materials due to their contractive tendency under cyclic shear loading. The loss of mean effective stress is linked to loss of grain contacts, bringing the granular material to a “semifluidized state” and leading to development and accumulation of large cyclic shear strains. Constitutive modeling of the cyclic stress-strain response in earthquake-induced liquefaction and post-liquefaction is complex and yet very important for stress-deformation and performance-based analysis of sand deposits. A new state internal variable named strain liquefaction factor is introduced that evolves at low mean effective stresses, and its constitutive role is to reduce the plastic shear stiffness and dilatancy while maintaining the same plastic volumetric strain rate in the semifluidized state. This new constitutive ingredient is added to an existing critical state compatible, bounding surface plasticity reference model, that is well established for constitutive modeling of cyclic response of sands in the pre-liquefaction state. The roles of the key components of the proposed formulation are examined in a series of sensitivity analyses. Their combined effects in improving the performance of the reference model are examined by simulating undrained cyclic simple shear tests on Ottawa sand, with focus on reproducing the increasing shear strain amplitude as well as its saturation in the post-liquefaction response. 相似文献
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对陕西柠条塔砂岩样品进行单轴分级加卸载蠕变试验，分析样品变形破坏过程中的能量演化规律。结果表明：随循环级数增加，各级耗散能非线性增长，各级塑性应变能相对稳定；耗散能超过塑性应变能可作为样品破坏的先兆能量特征。通过定义相关系数，建立能量与变形之间的关系后发现：随循环级数增加，各级塑性应变能与各级新增塑性应变呈正相关性，各级耗散能与塑性应变累积量呈正相关性。分别对加载、蠕变、卸载及恢复等4个阶段的能量计算后得出：各阶段能量演化速率均随循环级数的增加而增大。加、卸载速率恒定时，加载段能量变化率大于同级卸载段能量变化率，蠕变段能量变化率大于同级恢复段能量变化率。通过分析各级循环加载段能量变化规律，提出能量衰减系数 ，该值随应力水平增长呈幂函数形式降低，以此提出一种可以有效预测破坏应力的方法。 相似文献
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Modelling cyclic behaviour of granular soils under both drained and undrained conditions with a good performance is still a challenge. This study presents a new way of modelling the cyclic behaviour of granular materials using deep learning. To capture the continuous cyclic behaviour in time dimension, the long short-term memory (LSTM) neural network is adopted, which is characterised by the prediction of sequential data, meaning that it provides a novel means of predicting the continuous behaviour of soils under various loading paths. Synthetic datasets of cyclic loading under drained and undrained conditions generated by an advanced soil constitutive model are first employed to explore an appropriate framework for the LSTM-based model. Then the LSTM-based model is used to estimate the cyclic behaviour of real sands, ie, the Toyoura sand under the undrained condition and the Fontainebleau sand under both undrained and drained conditions. The estimates are compared with actual experimental results, which indicates that the LSTM-based model can simultaneously simulate the cyclic behaviour of sand under both drained and undrained conditions, ie, (a) the cyclic mobility mechanism, the degradation of effective stress and large deformation under the undrained condition, and (b) shear strain accumulation and densification under the drained condition. 相似文献
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As is well known, granular soils under cyclic loading dissipate a large amount of energy and accumulate large irreversible strains. Usually, with time, this second effect reduces and the accumulation rate decreases with the number of cycles until obtaining a sort of ideal stationary cyclic state at which ratcheting disappears. In this paper, only this ideal state is taken into consideration and simulated by means of a multi‐mechanism constitutive model for plastic adaptation. For this purpose, the concept of cycle is discussed, many different categories of cyclic stress/strain paths are considered and some theoretical issues concerning both the flow and the strain‐hardening rules are tackled. Even though the paper focuses on soil behaviour, the conclusions can be extended to all materials exhibiting ratcheting due to volumetric behaviour.Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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《Geomechanics and Geoengineering》2013,8(4):295-306
Recent developments in studies of soil response to earthquake loadings have made it possible to incorporate the rates of pore water pressure build-up in soils in to nonlinear response analyses of the grounds. Such pore pressure changes help in computing the changes in stress-strain behaviour of soils in the deposit progressively as the earthquake progresses. The rate and magnitude of pore pressure generation in soils during seismic loading will have important effects on the shear strength, stability, and settlement characteristics of a soil mass, even if the soil does not liquefy. The results in terms of pore pressure response in soils from a series of experimental investigations using strain-controlled cyclic triaxial tests on soils samples collected from liquefied sites are presented in this paper. The effect of relative density, amplitude of cyclic shear strain, number of loading cycles, confining pressure and frequency of cyclic loading on the pore pressure build-up are studied. Analytical expressions are proposed using regression analysis to define mean relationships between normalized pore water pressure and normalized cycles for the prediction of pore water pressure build-up in silty sands. Also, the pore water pressure build-up in soils is independent of frequency of loading. 相似文献
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轨道交通振动下南京片状细砂的有效应力路径及破坏模式 总被引：2，自引：1，他引：1
以南京片状结构细砂为研究对象,采用英国WFI动静多功能三轴仪,研究了饱和南京片状结构细砂在列车振动荷载作用下静偏应力水平、循环应力比对其动力特性的影响;把振动孔压的发展与应力路径相联系,分析了循环荷载作用下不同阶段南京片状结构细砂所处的初始压密状态、压缩状态和膨胀状态的发生和发展过程;同时,根据静偏应力与循环偏应力的大小,视有无偏应力反向,南京片状结构细砂的破坏模式可分为循环活动性和塑性应变累积破坏,并对其循环活动性的机制进行了初步探讨。 相似文献
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目前用于轨道路堤分析计算的参数多是通过三轴试验获得,而列车荷载经过时土单元应力路径与循环三轴试验加载路径的显著差异可能导致预测失真而引发工程问题。针对某城市轨道进行了三维计算,并分析了移动列车荷载下土单元应力幅值、循环周数、主应力轴旋转的分布规律。在该基础上,采用空心圆柱循环扭剪试验对该复杂应力路径进行了模拟,研究了饱和软黏土的孔压及变形累积特性。结果表明,列车荷载经过时地基土单元大主应力将在(－90°, 90°)内发生旋转;该主应力轴旋转将显著促进软黏土孔压和应变的累积,竖向应力幅值为15 kPa时,循环扭剪试验产生的孔压值比循环三轴试验高77%,累积应变增大了近50%;随着循环应力水平提高,二者累积孔压及累积应变的差值还会进一步增大,甚至出现循环三轴下仅产生较小应变而循环扭剪下已破坏的本质性差异。 相似文献
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循环应力比和振动频率对盐渍土微观结构影响分析 总被引：1，自引：1，他引：0
以青海省察尔汗地区盐渍土为研究对象, 借助扫描电子显微镜（SEM）设备和颗粒孔隙及裂隙图像识别与分析系统（PCAS）, 应用图像分割原理和分形理论, 对交通循环荷载作用下的盐渍土微观结构进行研究, 探讨不同循环应力比和不同振动频率下孔隙分布特征及其微观机制。结果表明： 循环应力比R由0.375增加到0.75, 临界破坏动应变由2.32%增高到3.17%, 动载循环次数相应减少; 振动频率f由0.5 Hz增加到2.0 Hz, 临界破坏动应变由2.82%减小到2.48%, 动载循环次数相应增多; 盐渍土孔隙参数随循环应力比的增大, 孔隙尺度分维值Dv 增长了0.12, 概率熵Hm 减小了0.017, 孔隙的形态分形维数D减小了0.27, 平均形状系数F增加了0.14, 变化规律较明显; 随振动频率的增大, Dv 增长了0.014, Hm 减小了0.002, D变化了0.06, F变化了0.003, 变化规律不明显; 在动荷载作用下, 试样的孔隙空间排列与宏观上的褶皱鼓状变形具有一致性。通过未加载试样与加载后试样的微观结构参数变化对比, 从循环应力比和振动频率对盐渍土微观孔隙特征的影响到宏观变形的相互作用机制进行了系统分析。 相似文献
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Macroscopic and microscopic behaviors of granular materials under proportional strain path: a DEM study 
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下载免费PDF全文 Under the proportional strain loading path, particle assemblies may exhibit various failure modes. Besides the strain localization, the diffuse failure may also occur under certain conditions. The diffuse failure mode corresponds to a homogeneous occurrence of failure with stress states strictly included within the plastic limit condition. This paper emphasizes the influences of the density degree and the rolling resistance under the strain path. A contact model considering rolling friction is adopted in a discrete element method analysis as an approximate means to account for the effects of particle shape. Mechanical responses indicate that loose assemblies without the rolling resistance are more vulnerable to static liquefaction. A sample with a smaller initial void ratio or larger rolling friction coefficient will reinforce the stability of the structure and reduce the likelihood of failure. For microscopic properties, the evolution of coordination numbers, contact forces, force chains and the anisotropies of the assemblies are explored and discussed. Rotational resistance helps increase the shear stress of the granular material, and the microscopic parameters indicate that the assembly has a strong anisotropy and a stable structure to resist the increasing loading. 相似文献
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The presented results of cyclic triaxial tests on sand demonstrate that the cumulative effects due to small cycles obey a kind of flow rule. It mainly depends on the average stress ratio about which the cycles are performed. This so-called “cyclic flow rule” is unique and can be well approximated by flow rules for monotonic loading. Amongst others it is shown that the cyclic flow rule is only moderately influenced by the average mean pressure, by the strain loop (span, shape, polarization), the void ratio, the loading frequency, the static preloading and the grain size distribution curve. A slight increase of the compactive portion of the flow rule with increasing residual strain (due to the previous cycles) was observed. These experimental findings prove that the cyclic flow rule is an essential and indispensable concept in explicit (N-type) accumulation models. 相似文献
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循环荷载下饱和软黏土的动骨干曲线模型研究 总被引：2，自引：1，他引：1
通过饱和软黏土室内不排水动三轴试验,研究了循环周次和动应力幅值对土体动力特性的影响。结果表明,在循环荷载作用下,随着循环周次的增加,土体均存在不同程度的刚度软化现象。根据动应力幅值大小的不同,循环荷载作用下饱和软黏土的动应变发展形态可分为3种类型:稳定型、破坏型和临界型。根据动应力-应变关系曲线特点,提出了含动应力幅值、固结围压和循环周次等影响因素的动骨干曲线模型。该模型所得的拟合值与试验值比较吻合。与传统骨干曲线模型相比,该模型能够体现土体在循环荷载作用下的刚度软化特性,更加切合实际。 相似文献