Effects of transport of pore water and material heterogeneity on strain localization of fluid‐saturated gradient‐dependent viscoplastic geomaterial

The purpose of the present paper is to clarify the effects of permeability and initial heterogeneity on the strain localization of fluid‐saturated cohesive soil modelled by a strain gradient‐dependent poro‐viscoplastic constitutive model. The effects of permeability and gradient parameters on the growth rate of the fluctuation were obtained by a linear instability analysis. Deformation behaviour of clay specimens modelled as a viscoplastic model with a second order strain gradient during shear was numerically analysed by a soil–water coupled FEM under both globally undrained and partially drained conditions. It was found that the deformation pattern and the stress–strain curve greatly depend on the permeability, the drainage conditions and the initial non‐homogeneous properties. Copyright © 2005 John Wiley & Sons, Ltd.     

循环荷载下饱和软黏土的动骨干曲线模型研究

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。     

循环荷载下黏土应变积累积强化模型研究

循环加载历史是影响土的动力特性的一个重要因素。通过对一种原状粉质黏土进行高循环次数单剪试验,研究了黏土体应变随剪应变幅值及循环次数的变化规律,以及由于体应变的累积对黏土动力特性产生的影响。试验结果表明,黏土的体应变随着循环次数的增多和循环剪应变幅值的增大而增大,而土的动力特性则随着体应变的不断累积而出现强化现象,表现为动剪模量增加,阻尼比减小。对累积体应变与动剪模量、阻尼比之间的关系进行了研究,提出了相应的强化关系式。在常用的非线性模型基础上,通过引入动剪模量的强化系数和阻尼比的衰减系数,建立了一种能考虑循环应变历史影响的土动力模型。     

A bounding surface elasto‐viscoplastic constitutive model for non‐isothermal cyclic analysis of asphaltic materials

An elasto‐viscoplastic constitutive model for asphaltic materials is presented within the context of bounding surface plasticity theory, taking into account the effects of the stress state, void binder degree of saturation, temperature and strain rate on the material behaviour. A stress state dependent non‐linear elasticity model is introduced to represent time‐independent recoverable portion of the deformation. The consistent visco‐plasticity framework is utilised to capture the rate‐dependent, non‐recoverable strain components. The material parameters introduced in the model are identified, and their determination from conventional laboratory tests is discussed. The capability of the model to reproduce experimentally observed response of asphaltic materials is demonstrated through numerical simulations of several laboratory test data from the literature. Copyright © 2016 John Wiley & Sons, Ltd.     

循环荷载下饱和软黏土的累积塑性应变试验研究

通过以交通荷载为背景的饱和重塑软黏土室内不排水动三轴试验,研究了循环荷载作用下饱和重塑软黏土的累积塑性应变发展形态,可分为3种类型：稳定型、破坏型和临界型。根据稳定型累积塑性应变发展曲线特点,提出了饱和软黏土的稳定累积塑性应变方程,并通过试验结果分析了该方程中各拟合参数与动应力幅值、固结围压和静偏应力的变化规律,同时提出了求解无静偏应力条件下软黏土临界动应力的解析方法。通过动三轴试验结果,提出了含动应力幅值、固结围压、静偏应力和循环周次等影响因素的累积塑性应变拟合模型。     

Simulation of long‐term consolidation behavior of soft sensitive clay using an elasto‐viscoplastic constitutive model

The phenomenon of excess pore water pressure increase or stagnation and continuing large ground deformation in soft sensitive clay following the completion of construction of embankment is simulated for a case study at Saint Alban, Quebec, Canada. The present model employs an updated Lagrangian finite element framework and is combined with an automatic time increment selection scheme. The simulation based on an elasto‐viscoplastic constitutive model considers soil‐structure degradation effect. It is shown that without consideration for the microstructural degradation effect, it is not possible to reproduce the field responses of soft sensitive clay even during the construction of the embankment. When the soil‐structure degradation effect is considered, the present model can offer reasonably accurate prediction for the consolidation behavior of soft sensitive clay, including the so‐called anomalous pore water pressure generation and continuing large deformation even after the end of construction, which has been posing numerous uncertainties on the long‐term performance of earth structures. Copyright © 2013 John Wiley & Sons, Ltd.     

考虑循环弱化的饱和黏土简化非线性模型

随着海洋工程建设的快速发展,海洋环境中的地基稳定性逐渐成为学者和工程师关注的热点问题,建立一个简化的饱和黏土循环加载模型对于长期循环荷载下海上构筑物的设计具有重要意义。针对饱和黏土的循环弱化特性,在Hardin-Drnevich等效非线性模型的基础上,建立了考虑循环弱化的饱和黏土简化非线性模型来描述循环加载下饱和黏土的应力-应变关系,模型中引入了由循环加载期间产生的累积塑性变形控制的强度和模量衰减比公式。通过参数分析,说明了形状参数 与n以及残余衰减比与衰减系数等参数的意义和作用。通过对文献中单向循环试验和双向循环试验结果的模拟,验证了该简化模型可以较好地描述循环加载时饱和黏土应力应变滞回圈的演变规律以及循环加载后饱和黏土的强度和刚度弱化现象。简化模型大大提高了计算效率,与传统的土体弹塑性模型相比更加便于工程应用。     

考虑循环载荷下饱和黏土软化的损伤边界面模型研究

研究表明,循环载荷作用下饱和黏土将发生软化,其机制主要有两个：一是孔压的积累;二是土体原有结构的不断损伤和新结构的不断重塑。针对上述机制,基于广义各向同性硬化准则建立了考虑饱和黏土循环软化的损伤单面模型。该模型在有效应力空间中引入损伤变量,表征土体结构的损伤和重塑程度,在连续的循环加载下,损伤不断累积,边界面则随着损伤的累积不断收缩,以模拟饱和黏土刚度和强度的软化;以应力反向点作为边界面的广义各向同性硬化中心和映射法则的映射中心,灵活地选择塑性模量的插值公式以模拟塑性变形和孔压的累积以及应力-应变的滞回特性。应用该模型对不排水循环三轴试验进行模拟,并且考查了循环周次、循环应力水平和固结历史对饱和黏土循环软化特性的影响,并与相关试验比较,验证了模型的有效性。     

红粘土动本构关系与动模量衰减模型

针对高速交通循环荷载下红粘土路堑基床的动力稳定性问题,基于大量室内动三轴试验,研究了不同试验条件下原状结构红粘土动本构关系及动模量衰减规律。试验成果表明:原状结构红粘土动本构关系仍可用R.L.Kondner双曲线模型描述;动模量随动应变的增大非线性减小,具有明显的应变软化特征。围压、固结比、含水比对红粘土动本构特征及动模量衰减规律均有明显影响。不考虑其它因素,随围压或固结比的增大,动本构曲线逐渐偏向应力轴,随含水比的增大,动本构曲线逐渐偏离应力轴。同等条件下,动模量随围压、固结比的增大而增大,随含水比的增大而减小。基于回归分析,给出了不同试验条件下原状结构红粘土双曲线模型参数、动模量衰减经验公式及其拟合参数。     

A viscoplastic subloading soil model for rate‐dependent cyclic anisotropic structured behaviour

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.     

循环荷载作用下饱和软土的各向异性边界面模型

在临界状态弹塑性力学的框架内,建立了可以考虑循环荷载作用下各向异性对饱和软土力学特性影响的边界面塑性模型。该模型采用非关联的流动法则,引入了反映土体各向异性的内变量,利用该内变量的初始值描述初始各向异性,采用一种理论更为严谨、模型参数确定更为恰当的旋转硬化法则描述循环加载过程中各向异性的演化,利用更新映射中心的径向映射法则和与塑性偏应变路径长度有关的塑性模量插值规律,保证模型能够模拟循环加载时应力-应变响应的非线性、滞回性、应变累积性等基本特性,解释了模型参数的物理意义和确定方法,特别是给出了一种合理确定描述土体初始各向异性状态变量方法。通过文献中等压固结和偏压固结饱和黏土的循环三轴试验结果与模型预测结果的对比验证了模型的合理性。     

一种适用于饱和黏土循环动力分析边界面塑性模型的隐式积分算法

修正了传统隐式回映算法,建立了适用于饱和黏土循环动力分析的边界面塑性模型的完全隐式积分格式。该模型基于无弹性域概念和临界状态理论,采用各向同性、运动硬化准则、旋转的边界面,并引入表征土体结构损伤和重塑程度的损伤变量以反映循环载荷作用下饱和黏土的各向异性、刚度、强度软化及塑性变形累积等特征。针对等压固结 和偏压固结 的饱和高岭黏土的不排水三轴试验进行模拟,采用不同的应变增量步长进行计算,并与试验数据对比,结果表明,修正隐式回映算法应用于该类边界面模型的合理性、积分格式的精确性和稳定性;另外,结合有限元软件自动时间步长的增量迭代解法,对饱和黏土应力控制的不排水动三轴试验进行预测,结果表明,修正的适用于该边界面的塑性模型隐式回映算法可以得到比较合理的数值分析结果,能够反映饱和黏土的循环刚度的退化和强度的弱化等动力特性。     

Anisotropic viscoplastic modeling of rate‐dependent behavior of clay

The objective of this study is to derive an effective stress‐based constitutive law capable of predicting rate‐dependent stress–strain, stress path and undrained shear strength and creep behavior. The flow rule used in the MIT‐E3 model and viscoplasticity theory is employed in the derivation. The model adopts the yield surface capable of representing the yield behavior of the Taipei silty clay and assumes that it is initially symmetric about the K₀‐line. A method is then developed to compute the gyration and expansion of the loading surface to simulate the anisotropic behavior due to the principal stress rotation after shear. There are 11 parameters required for the model to describe the soil behavior and six of them are exactly the same as those used in the Modified Cam‐clay model. The five additional parameters can be obtained by parametric studies or conventional soil tests, such as consolidation tests, triaxial compression and extension tests. Finally, verification of the model for the anisotropic behavior, creep behavior and the rate‐dependent undrained stress–strain and shear strength of the Taipei silty clay is conducted. Copyright © 2010 John Wiley & Sons, Ltd.     

考虑饱和黏土初始各向异性的循环边界面塑性模型

天然土体的初始各向异性通常可对其后继循环特性产生显著影响。现有考虑循环载荷作用的土体弹塑性模型,往往采用类似修正剑桥模型的椭圆形屈服面,已有研究表明,该椭圆形屈服面因其拉伸弹性区域偏大,针对天然K0固结状态的土体,其计算精度较差。基于新近提出的广义各向同性硬化准则,在边界面方程中引入初始各向异性张量,并采用空间滑动面破坏准则（SMP）的变换应力法,建立了能考虑饱和黏土初始各向异性的循环边界面塑性模型。分别针对等压和偏压固结的饱和黏土静、动三轴试验进行模拟,结果表明,该模型能合理反映土体的初始各向异性及其后继循环动力特性。     

基于摩尔-库仑模型的非线性本构模型的开发及其在应变局部化中的应用

以FLAC中的Mohr-Coulomb（M-C）本构模型为基础,在C++环境下实现了考虑拉伸截断的非线性本构模型的二次开发。针对应力及位移的分布规律,将理想弹塑性的Hoek-Brown（H-B）本构模型、M-C本构模型及自定义本构模型的数值解及H-B本构模型的理论解进行了比较,验证了自定义本构模型的正确性。采用弹-脆-塑性的自定义本构模型,以先加载,后挖洞的方式模拟了圆形巷道围岩的应变局部化过程,在计算模型的边界条件对称及均质本构参数的条件下,模拟出了4个对称的V型坑,模拟结果与静水压力条件下岩爆的现场观测及试验结果吻合,而采用接近脆性的H-B应变软化模型所得结果的对称性较差     

A small‐strain overlay model

The paper begins with a discussion of the phenomenon of small‐strain stiffness and presents the small‐strain overlay model, a simple model that takes into account the non‐linear stiffness of soils at small strains. The new model can enhance already established elastoplastic formulations for non‐linear stiffness variation at small strains in a similar way that intergranular strain enhances the hypoplastic model. The overlay model is driven by the material's strain history and only two additional material constants, both with clear physical meaning. Therefore, the proposed model is a step towards the incorporation of small‐strain stiffness into routine design. In this paper, the new small‐strain overlay model is formulated. Its ability to take into account the influence of various strain histories on soil stiffness is illustrated in several examples. Copyright © 2008 John Wiley & Sons, Ltd.     

分级加载下冻结黏土的动应变幅变化特征

动应变幅反映土的振动特征和阻尼特性,温度影响土中水的形态,从而影响动应变幅的大小.采用MTS-810型三轴试验机对一系列温度下黏土的动应变幅变化特征进行研究,结果表明：仪器误差、操作误差等可能使试验结果具有变异性,可采用取平均值的方法来减小试验结果的变异性.动应变幅随加载级数的增加逐渐增大.当温度高于土中水的冻结点时,温度变化对动应变幅的影响较小;当温度低于土中水的冻结点时,随温度的降低,动应变幅变化较显著;当温度低于-4℃时,随温度的降低动应变幅几乎不发生改变.动应变幅随动应力幅的增大呈线性增大趋势.     

不同应力路径下饱和黏土耦合循环剪切特性

地基土单元体在波浪荷载的作用下将发生主应力轴连续旋转,这对土的强度和变形特性会产生显著的影响。针对饱和黏土,利用土工静力－动力液压三轴－扭转多功能扭剪仪进行了均等固结下的耦合循环剪切试验,着重研究了不同循环应力路径对应力-应变关系和强度特性的影响。试验结果表明,耦合循环荷载下黏土扭转剪切分量和正向偏差分量的应力-应变关系曲线与应力路径有关,且随着振动次数的增加逐渐疏松,割线模量 和 不断衰减,这与不固结不排水条件下的应力-应变关系曲线的变化规律明显不同;扭转剪切分量大的椭圆应力路径的动强度略小于正向偏差分量大的动强度。饱和黏土在不同应力路径下的力学特性的试验研究可以为建立复杂应力路径下的本构模型提供试验依据。