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1.
A constitutive model for dense gravelly soils was developed to reproduce their responses under cyclic loadings. Its application aims at nonlinear dynamic analyses of earth structures involving gravelly soils, such as rockfill dams and railroad ballasts. The framework of generalized plasticity was modified to incorporate the concept of stress distance for better simulation of unloading and reloading responses. It was then combined with the theory of critical state soil mechanics to develop the constitutive model. The model has the following important features: unified simulation of particle breakage through translating critical state line, smooth transition from unloading to reloading in the stress space, and proper modeling of cyclic hysteresis, cyclic densification, and cyclic hardening of dense gravelly soils. Most of the model parameters can be obtained through simple calculation using conventional triaxial test results, and their calibration process was discussed. The model was used to simulate the cyclic responses of three gravelly soils with satisfactory accuracy. Copyright © 2014 John Wiley & Sons, Ltd.  相似文献   

2.
张平阳  夏才初  周舒威  周瑜  胡永生 《岩土力学》2015,36(12):3354-3359
循环加-卸载岩石本构模型是预测压气储能洞室长期稳定性的关键,但目前还没有适用的本构模型,因此,提出了一种能够描述岩石循环加载和卸载的本构模型。鉴于岩石在循环作用下损伤不断累积,将基于Weibull分布的岩石损伤软化模型进行拓展,并用内变量疲劳本构模型描述每个循环的初始模量和卸载模量的变化,进而得到循环加-卸载作用下的岩石本构模型,然后将该模型与现有的试验结果进行对比。该模型物理意义明确,涉及的参数较少,且便于拟合。提出的循环加-卸载下岩石本构模型对试验数据拟合效果较好,能较准确地反映循环荷载上、下限值对应的轴向应变,也能反映出循环内部变形模量衰减的趋势。该模型的成功建立为循环加-卸载下岩石本构模型的研究提供了新思路。  相似文献   

3.
徐令宇  蔡飞  陈国兴  王国新 《岩土力学》2016,37(11):3329-3335
已有震害研究表明,震后边坡会因持续变形而破坏,且伴随着土体强度逐渐降低的现象,即土的循环软化行为。因此,有必要研究考虑循环软化的非线性动力本构模型以用于复杂条件下地震边坡稳定性分析。在已有的非线性动力本构模型基础上,提出了考虑循环软化的处理方法。同时,在FLAC3D平台上实现了本构模型二次开发,并通过了理论公式与已有文献中试验数据的验证。结果表明:计算出的骨干曲线与理论公式一致,且计算出的动剪切模量比及阻尼比与试验数据吻合较好,能够克服Hardin-Drnevich模型和Davidenkov模型在较大应变处(>0.01%)过高地估算阻尼比的缺陷;考虑了循环软化后,计算出的剪切强度有明显降低,且当遇到骨干曲线剪应力可以连续地过渡到软化后的主干曲线上,模型的收敛性较好。所开发的本构模型可为大应变条件下软土场地及边坡地震灾害评估提供支持。  相似文献   

4.
张伏光  蒋明镜 《岩土力学》2018,39(1):339-348
对基坑开挖影响范围内土体的应力路径进行平面应变试验离散元数值模拟,以研究结构性与卸荷形式对坑周土体宏微观力学特性的影响。首先,将一个描述土颗粒间胶结效应的简单三维胶结接触模型植入三维离散元软件PFC3D;其次,对初始K0固结状态的重塑土、结构性土试样分别进行常规三轴以及平面应变条件下4种不同卸荷应力路径的离散元模拟;最后,对经历不同卸荷形式的坑底土体单元进行再加荷模拟。模拟结果表明,在卸荷过程中,被动区土体峰值强度以及破坏时竖向应变随卸荷比增大而增大,且其强度小于主动区土体强度;在卸荷、再加荷过程中,被动区土体峰值强度随卸荷比增大而增大,但均小于不卸荷而直接加荷条件下的峰值强度;由于结构性的存在,土体由应变硬化向应变软化过渡,且强度增长;结构性与卸荷形式显著影响土体体积改变。在微观尺度,增大卸荷比或结构性均会增大垂直大主应力方向的平面上的法向接触力,进而提高其强度。  相似文献   

5.
不同应力路径下砂土的神经网络弹塑性本构模型研究   总被引:3,自引:0,他引:3  
曾静  冯夏庭  王靖涛  盛谦 《岩土力学》2004,25(6):896-900
基于多种应力路径下砂土的加载、卸载和再加载过程的三轴排水试验数据,研究了三种应力路径对屈服面的影响,其结果表明,不同应力路径对砂土的本构模型有着不可忽视的作用。在此基础上,建立了砂土的弹塑性神经网络模型,对相应路径下的本构关系进行了学习。实例分析表明,该模型能够很好地描述具体应力路径下的本构关系,神经网络建模方法具有方便、容错性强的特点,对岩土力学快速、高效数值方法的进一步发展具有重要的参考价值。同时,在这种弹塑性应力-应变关系中,笔者并没有使用塑性势函数,这在目前的弹塑性本构关系的建模中是一种新的尝试。  相似文献   

6.
张向东  李军  孙琦  易富  曲直 《岩土力学》2018,39(11):4149-4156
为研究冻土在不同温度下的弹性模量退化与动力特佂,通过对不同负温条件下冻土试样进行循环加、卸载试验,获得其在动荷载作用下的应力-应变滞回曲线与疲劳损伤寿命。按照疲劳寿命与应力幅之间的关系确定了冻土在不同温度下的疲劳损伤参数。根据冻土的弹性模量退化规律提出了动弹模衰减控制方程并建立了冻土唯象疲劳损伤模型。根据冻土实测的循环加卸载滞回曲线特征,提出了理想和非理想滞回圈情况下阻尼比联合分析方法;基于Kelvin模型建立了滞回圈演化规律与弹性模量退化及加载时间的数学联系。研究发现:考虑了动弹模衰减影响的唯象疲劳损伤模型描述了冻土的加速疲劳损伤特征;理想滞回与非理想滞回阻尼比联合分析方法考虑滞回圈的实际演化特征;基于弹性模量退化的Kelvin流变模型建立了滞回圈曲线与加、卸载时间的数学联系。  相似文献   

7.
A new constitutive formulation for simulating the behaviour of nearly saturated sands under seismic loads is presented. The formulation is based on combining the Henry's law for dissolution of gas in water, the ideal or perfect gas law and the law of conservation of mass. The effects of transient air dissolution in water on the compressibility of partially saturated soils are also taken into account. The model was calibrated based on numerical simulations of isotropically consolidated cyclic triaxial tests conducted on partially saturated samples of Toyoura sand. A multi‐yield plasticity soil constitutive model implemented in the finite element code DYNAFLOW was used for these numerical simulations. It is shown that the formulation proposed here is able to reasonably predict the soil cyclic undrained behaviour at various degrees of saturation (95% and higher). Copyright © 2006 John Wiley & Sons, Ltd.  相似文献   

8.
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   

9.
This paper presents a kinematic hardening model for describing some important features of natural stiff clays under cyclic loading conditions, such as closed hysteretic loops, smooth transition from the elastic behavior to the elastoplastic one and changes of the compression slope with loading/unloading loops. The model includes two yield surfaces, an inner surface and a bounding surface. A non-associated flow rule and a kinematic hardening law are proposed for the inner surface. The adopted hardening law enables the plastic modulus to vary smoothly when the kinematic yield surface approaches the bounding surface and ensures at the same time the non-intersection of the two yield surfaces. Furthermore, the first loading, unloading, and reloading stages are treated differently by applying distinct hardening parameters. The main feature of the model is that its constitutive equations can be simply formulated based on the consistency condition for the inner yield surface based on the proposed kinematic hardening law; thereby, this model can be easily implemented in a finite element code using a classic stress integration scheme as for the modified Cam Clay model. The simulation results on the Boom Clay, natural stiff clay, have revealed the relevance of the model: a good agreement has been obtained between simulations and the experimental results from the tests with different stress paths under cyclic loading conditions. In particular, the model can satisfactorily describe the complex case of oedometric conditions where the deviator stress is positive upon loading (compression) but can become negative upon unloading (extension).  相似文献   

10.
For numerical studies of geotechnical structures under earthquake loading, aiming to examine a possible failure due to liquefaction, using a sophisticated constitutive model for the soil is indispensable. Such model must adequately describe the material response to a cyclic loading under constant volume (undrained) conditions, amongst others the relaxation of effective stress (pore pressure accumulation) or the effective stress loops repeatedly passed through after a sufficiently large number of cycles (cyclic mobility, stress attractors). The soil behaviour under undrained cyclic loading is manifold, depending on the initial conditions (e.g. density, fabric, effective mean pressure, stress ratio) and the load characteristics (e.g. amplitude of the cycles, application of stress or strain cycles). In order to develop, calibrate and verify a constitutive model with focus to undrained cyclic loading, the data from high-quality laboratory tests comprising a variety of initial conditions and load characteristics are necessary. It is the purpose of these two companion papers to provide such database collected for a fine sand. Part II concentrates on the undrained triaxial tests with strain cycles, where a large range of strain amplitudes has been studied. Furthermore, oedometric and isotropic compression tests as well as drained triaxial tests with un- and reloading cycles are discussed. A combined monotonic and cyclic loading has been also studied in undrained triaxial tests. All test data presented herein will be available from the homepage of the first author. As an example of the examination of an existing constitutive model, the experimental data are compared to element test simulations using hypoplasticity with intergranular strain.  相似文献   

11.
地震等随机循环荷载作用时,常需定义较为复杂的加卸载准则(如扩展Masing准则)来描述土体应力-应变滞回曲线,导致求解过程中需预留大量的状态变量,不便于编程实现;同时,现有Masing模型及其改进模型大多仅对动剪切模量曲线进行拟合,还鲜有考虑对阻尼比曲线的拟合。针对以上两个问题,构建了基于修正阻尼的不规则加卸载准则。该准则克服了上大圈准则需要记忆所有转向点的问题,只需要记忆当前转向点和历史最值,记忆量大大减小;同时该准则能同时考虑动剪切模量和阻尼比曲线,达到了修正阻尼比的目的。基于Matasovic骨架曲线,结合提出的加卸载准则,提出了土体非线性模型并将其开发于Abaqus软件中,通过求解Mississippi湾场地地震反应,并与Deepsoil软件和Davidenkov-Chen-Zhao(DCZ)模型计算得到的场地地震反应结果进行对比分析,验证了所提不规则加卸载准则的正确性。同时,对日本KiK-net强震台网的KSRH10场地进行了地震反应分析,并与加速度时程记录及其谱加速度进行比较,验证了所提模型的适用性。  相似文献   

12.
For numerical studies of geotechnical structures under earthquake loading, aiming to examine a possible failure due to liquefaction, using a sophisticated constitutive model for the soil is indispensable. Such a model must adequately describe the material response to a cyclic loading under constant volume (undrained) conditions, amongst others the relaxation of effective stress (pore pressure accumulation) or the effective stress loops repeatedly passed through after a sufficiently large number of cycles (cyclic mobility, stress attractors). The soil behaviour under undrained cyclic loading is manifold, depending on the initial conditions (e.g. density, fabric, effective mean pressure, stress ratio) and the load characteristics (e.g. amplitude of the cycles, application of stress or strain cycles). In order to develop, calibrate and verify a constitutive model with focus to undrained cyclic loading, the data from high-quality laboratory tests comprising a variety of initial conditions and load characteristics are necessary. The purpose of these two companion papers was to provide such database collected for a fine sand. The database consists of numerous undrained cyclic triaxial tests with stress or strain cycles applied to samples consolidated isotropically or anisotropically. Monotonic triaxial tests with drained or undrained conditions have also been performed. Furthermore, drained triaxial, oedometric or isotropic compression tests with several un- and reloading cycles are presented. Part I concentrates on the triaxial tests with monotonic loading or stress cycles. All test data presented herein will be available from the homepage of the first author. As an example of the examination of an existing constitutive model, the experimental data are compared to element test simulations using hypoplasticity with intergranular strain.  相似文献   

13.
This paper presents a new purely viscoplastic soil model based on the subloading surface concept with a mobile centre of homothety, enabling the occurrence of viscoplastic strains inside the yield surface and avoiding the abrupt change in stiffness of the traditional overstress viscoplastic models. This is required for overconsolidated soils. The model is formulated to reproduce the soil rate‐dependent behaviour under cyclic loading (changes in loading direction) and incorporates both initial and induced anisotropy, as well as destructuring. The model shows good qualitative response to some imposed three‐dimensional stress paths under quasi‐inviscid (elastoplastic) behaviour. Some of the main time‐dependent aspects of soil behaviour that the model is capable of reproducing were also illustrated. The capability of the model to adequately reproduce the results from an undrained triaxial test performed on stiff overconsolidated clays from the Lisbon region (Formação de Benfica), with an unloading–reloading deviatoric stress cycle at constant mean stress, that incorporates a series of staggered fast loading and creep stages, was evaluated. The model was able to reproduce well the main observed aspects of the time‐dependent stress–strain response and pore pressure evolution of a stiff overconsolidated clay under complex loading. The revised and generalised viscoplastic subloading surface concept is viable and can be applied to a consistent extension to viscoplasticity, including in the interior of the yield surface, of existing elastoplastic models formulated for soils and other materials. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

14.
天然土体经历开挖卸荷应力路径后,其应力变形特性与常规加载应力路径条件下规律存在较大差异。目前常用土体本构模型大多建立在等向固结单向加载三轴试验基础上,没有考虑初始K0固结和开挖卸荷应力路径的影响。以剑桥模型为基础,借鉴关口-太田模型的建模思想,通过引入新的应力比参数,对p-q平面上屈服轨迹硬化轴进行旋转,调整弹性区范围,以反映初始K0固结的影响;再运用变换应力法将模型三维化处理,从而使模型可以描述土体三向不等向应力状态,最终得到一个能综合反映土体K0固结开挖卸荷应力-应变特性的三维弹塑性本构模型。通过和典型室内应力路径试验结果进行对比,验证了模型的合理性。  相似文献   

15.
Fracture is the main reason for the non-linear behaviour of hard rocks. The fracture mechanics of rock is studied in this article by analysis of the fracture process under compression. A constitutive model that describes the relationship between the macro deformation of rock and the micro fracture within rock is developed. The propagation of microcracks, the non-linearity of deformation, the loading-and-unloading hysteresis and the variation of the apparent Young's modulus and Poisson's ratio are studied using the developed model. The model simulations demonstrate that: (1) the fracture toughness, initial crack length, crack density, and Young's modulus are four crucially important parameters that affect the deformation behaviour of rock; (2) the elastic parameters (E and v) of the rock matrix should be measured in triaxial tests. If they are measured in uniaxial tests, the upper straight unloading portion of the stress-strain curve is suggested to be used for the purpose, unless the closure effect of open cracks will be included in the estimations. In addition (3), the slope of the reloading stress-strain curve is a measure of the damage in material.  相似文献   

16.
A hierarchical concept is proposed for the development of constitutive models to account for various factors that influence behaviour of (geologic) materials. It permits evolution of models of progressively higher grades from the basic model representing isotropic hardening with associative behaviour. Factors such as non-associativeness and induced anisotropy due to friction and cyclic loading, and softening are introduced as corrections or perturbations to the basic model. The influence of these factors is captured through non-associativeness manifested by deviation from normality of the plastic strain increments to the yield surface, F. Details of four models: isotropic hardening with associative behaviour, isotropic hardening with non-associative behavioural anisotropic hardening and strain-softening with a damage variable are presented. They are verified with respect to laboratory multiaxial test data under various paths of loading, unloading and reloading for typical soils, rock and concrete. The proposed concept is general, yet sufficiently simplified in terms of physical understanding, number of constants and their physical meanings, determination of the constants and implementation.  相似文献   

17.
徐晗  程展林  泰培  潘家军  黄斌 《岩土力学》2015,36(5):1322-1327
岩土工程数值计算中粗粒土常采用邓肯-张本构模型,为了验证该模型在轴向加载、卸载、侧向加载等复杂应力路径条件下的适用性,进行了粗粒土的三轴试验获取其力学特性及本构模型参数;根据相似性原理制作了堆石坝的离心模型试样,并采用与三轴试验同样级配与粒径的粗粒土进行复杂应力路径的堆石坝离心模型试验,试验中通过改变离心加速度模拟加载、卸载,利用上游蓄水模拟坝体的侧向加载;采用ABAQUS对离心模型试验进行三维数值模拟,并研究了模型箱侧壁摩擦系数与土体的初始应力对数值结果的影响。通过比较离心模型试验与数值模拟成果,表明土体的初始弹性模量对计算结果影响较大,初始应力应选择自重作用下的应力场;邓肯-张本构模型能较好地描述堆石坝的加载应力路径,而模拟卸载应力路径有一定的差异,需要改进邓肯-张本构模型中卸载模量的确定方法。  相似文献   

18.
In this paper, the seismic response of ‘infinitely’ long slopes is numerically analysed via the formulation of a 1D analytical/numerical model, in which the soil mechanical behaviour is assumed to be elasto‐perfectly viscoplastic and simple shear (SS) kinematical constraints are imposed. In order to simplify the problem, a theoretically based procedure to set up a fully 1D shear constitutive model is defined, within which the mechanical response of a multiaxial relationship is condensed. The use of a 1D shear constitutive model is aimed at reducing the number of unknowns and, therefore, the computational costs. In particular, the case of the Mohr–Coulomb yield criterion is considered, while an enhanced Taylor–Galerkin finite element algorithm is employed to simulate the seismic wave propagation within the soil stratum. The proposed ‘condensation’/calibration procedure captures both the ‘pseudo’‐hardening pre‐failure behaviour and the influence of dilation on the occurrence of strain‐localization, which characterize, under SS conditions, the static response of virgin perfectly plastic soils. The effectiveness of the conceived method is shown with reference to freshly deposited deposits, while, in the case of highly overconsolidated strata, some difficulties arise because of the brittle behaviour induced both by unloading and non‐associativeness. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

19.
An elasto-plastic model is proposed for modeling the constitutive behavior of the interface between gravelly soils and structural materials. This model is based on the two-surface plasticity formulation and it is compatible with the concept of critical state soil mechanics. The model requires the same set of eight calibration parameters for predicting the monotonic and cyclic responses of both loose and dense interfaces. The model simulates cyclic densification, shear degradation and the effects of normal pressure, soil density, and stress path. The performance of the proposed constitutive model is validated by tests data under different normal stresses and boundary conditions.  相似文献   

20.
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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