Elasto-plastic long-term behavior of granular soils: Modelling and experimental validation

Repeated small amplitude dynamic loading of the soil in the vicinity of buildings, as arising from traffic or construction activities, may cause differential foundation settlements and structural damage. In this paper, an accumulation model for settlements due to vibrations at small strain levels in granular non-cohesive soils is proposed. It is assumed that the dynamic part of the stresses is small with respect to the static part. As plastic deformation in the soil is only observed after a considerable amount of dynamic loading cycles, only the accumulation of the average plastic deformation is considered. The model accounts for the dependency of the deformation on the stress state, the void ratio, and the dynamic loading amplitude. The model is calibrated for homogeneous fine grained sands with the aid of cyclic triaxial test results.     

Experimental study on the bidirectional inelastic deformation capacity of U‐shaped steel dampers for seismic isolated buildings

Hysteretic dampers are used to dissipate earthquake‐induced energy in base‐isolated structures by acquiring inelastic deformations, rendering their hysteretic behavior of vital importance. The present paper focuses on investigating the behavior of U‐shaped steel dampers under bidirectional loading; this is significantly different from their corresponding uniaxial behavior. Two main sets of loading tests on full‐scale specimens are conducted in this regard: (i) quasi‐static tests with simple histories and (ii) dynamic tests with realistic loading histories. Based on the results obtained in the quasi‐static tests, an interaction curve that accounts for the reduction of the cyclic deformation capacity is proposed. However, the fidelity of this relation must be assessed under loading conditions similar to those of a seismically isolated structure subjected to an earthquake, which represents the goal of the second set of tests. The results of the dynamic tests validate the proposed interaction curve for estimating the deformation capacity of U‐shaped steel dampers under bidirectional loading. Copyright © 2015 John Wiley & Sons, Ltd.     

Dynamic instability of clays: an energy approach

The dynamic instability of any soil is based on the ability to accumulate from cycle to cycle a part of the energy to be dissipated. Using the general thermodynamic approach in combination with high resolution experiments it is possible to analyze the transformations of energy in soil under dynamic loading. Undisturbed specimens of two Norwegian clays, sufficiently different in their engineering properties, were used in a number of undrained cyclic triaxial tests to study the influence of confining stress, coefficient of earth pressure at rest (K₀), dynamic stress amplitude and frequency of loading in the development of instability in the clays. This paper discusses the unit dissipated energy and the unit activation energy as possible energy criteria for evaluation of dynamic instability in soils.     

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。     

不同应力水平下结构性黏土动力特性试验研究

对天津滨海地区典型结构性软黏土进行了压缩试验和不同固结应力下的循环三轴试验。结果表明:结构性软黏土的静力变形特性以先期固结应力和结构屈服应力为分界点可分为3个阶段;不同固结应力下的动应变-振次关系曲线上存在着一个临界动应力比,且该值随着围压的增大而降低;孔隙水压力的变化以结构屈服应力为转折点呈现出不同的变化规律;当振动频率为2Hz时固结应力的改变对轴向动应变的影响不明显。     

土工三轴试验方法-静动耦合试验

尝试了一种新的土工三轴试验方法,即在一个试样同时得到与土体静动变形和强度特性相关的各种参数。文中讨论了采用耦合试验方法时应变循环大小对静力变形和强度特性的影响;并通过与常规试验结果的比较,给出了等效弹性模量、等效阻尼比和动永久应变等动力变形参数的试验结果。试验结果表明：采用耦合试验复杂加载方式,能够更深入地研究土体的静、动变形和强度特性,尤其在复杂应力条件下的动力变形特性方面。     

土体动剪切模量及其衰减特性现场试验研究

如何获取土体动模量原位衰减曲线是研究天然土层在循环动荷载下的动变形特性课题中亟待解决的难题。为此,本文自制了一套地震动参数现场试验系统,依据动剪切模量原位测试原理获得了不同深度土体在小应变范围内的动模量原位衰减曲线。试验数据表明:当剪应变小于4×10^－5时,土体变形处于线性阶段;当剪应变大于4×10^－5时,土体归一化动剪切模量G/G_max衰减加快,以塑性变形为主。同时,当向土层施加的垂向静荷载越大,归一化动剪切模量值G/G_max与对数剪应变值logγ_d之间的关系会逐渐上移,但直线段斜率值不变。相关成果可为试验场地的动模量取值提供一定参考。     

软土动力特性动三轴试验研究

许多学者对软土在动力作用下的变形特性进行了大量的研究,并提出了相应的经验公式,但其经验公式参数较多且试验复杂,不易被一般工程技术人员掌握运用。本文采用天津滨海地区软土为研究对象,进行钻探取样、波速测试、室内静力学和动三轴试验,获取该地区软土的静、动力学参数,并利用相对简单的模型对残余应变和软化指数随振次的变化规律采用最小二乘法进行拟合,取得很好的效果。成果表明,利用简单的模型对软土的动力特性进行区域性研究是可行的。该成果可为今后软土动力特性和软土震陷计算方法研究提供参考和基础性资料。     

Cyclic shearing and liquefaction of soil under irregular loading: an incremental model for the dynamic earthquake-induced deformation

The paper presents a mathematical model for the deformation of soil under irregular cyclic loading in the simple-shear conditions. The model includes the possible change in the effective pressure in saturated soil due to the cyclic shearing, the reciprocal influence of the effective pressure on the response of the soil to the shear loading, and the pore pressure dissipation due to the seepage of the pore fluid. The hysteresis curves for the strain–stress relationship are constructed in such a way that they produce both the required backbone curve and the required damping ratio as functions of the strain amplitude. At the same time, the approach enables the constitutive functions involved in the model to be specified in various ways depending on the soil under study. The constitutive functions can be calibrated independently of each other from the conventional cyclic shear tests. The constitutive model is incorporated in the boundary value problem for the dynamic site response analysis of level ground. A numerical solution is presented for the dynamic deformation and liquefaction of soil at the Port Island site during the 1995 Hyogoken-Nambu earthquake.     

循环荷载下堆积体残余变形特性

通过大型动三轴试验研究堆积体在不同应力水平、不同循环荷载幅值下残余应变与振次的关系,同时进行不同初始条件下残余应变的对比。试验发现堆积体在循环荷载下的残余应变与lg(1+N)有较好的线性关系(N≤30),沈珠江经验公式适用于堆积体在循环荷载下累积残余应变的计算。初始条件对堆积体的残余应变有重要影响,饱和不排水条件下残余剪应变最大,饱和排水条件次之,风干排气条件最小。应用沈珠江残余应变公式进行堆积体循环荷载下残余变形计算时应选取与工程实际条件相匹配的参数。     

A hypoplastic model for site response analysis

Site response analyses must take into account the nonlinear behavior of soils. This is typically achieved using an equivalent linear approach or using numerical analyses with an appropriate constitutive model. In this work a family of hypoplastic models is proposed for use in site response analyses. These nonlinear models use a rate-type tensorial equation and are capable of reproducing plastic deformation of soils for cyclic loading under both drained and undrained conditions. A methodology for the calibration of hypoplastic parameter for dynamic loading is proposed. The hypoplastic constitutive models are implemented in a finite element code and the site response of the Lotung downhole array site is used to validate the use of hypoplastic models for site response analysis. The hypoplastic models reproduce accurately site response at the Lotung site. The advantages and disadvantages of the hypoplastic models compared to other models are discussed.     

Fully coupled finite element model for dynamics of partially saturated soils

Understanding the response of partially saturated earth structures under various static and dynamic loads is important for the design and construction of economical and safe geotechnical engineering structures. In this study, the numerical approach is used to understand the dynamics of partially saturated soils. The mathematical equations governing the dynamics of partially saturated soils are derived based on the theory of mixtures and implemented within a finite element framework. The stress–strain behavior of the soil is represented by an elasto-plastic constitutive model for unsaturated soil based on bounding surface concept and the moisture-suction behavior is modeled using van Genuchten model. Fully coupled finite element simulations are performed to study the response of partially saturated soil embankment under earthquake loading and validated with centrifuge test results available in the literature. The predicted displacement responses are in good agreement with the measured responses. The pore water pressure, pore air pressure, matric suction, the degree of saturation in various elements and the response of the embankment under different initial moisture content are also discussed.     

地铁列车循环荷载试验论证研究

地铁循环荷载作用下饱和软黏土的动力特性研究对于揭示软黏土在地铁荷载下的孔压、强度以及变形模式具有重要意义,可以为控制地铁长期沉降、降低运营风险提供理论依据。试验加载形式的不同会带来不同的动力特性表征,需选取最能反映地铁列车真实性质的荷载形式。本文在列车荷载作用下研究土动力特性,采用室内动三轴试验的方法,对比分析不同形式下动力荷载作用效果。试验研究表明:偏压正弦波可以作为简化波形研究列车荷载,它不仅可以确保加载过程中地基土只有压应力,而且能较好地模拟列车循环荷载。     

复杂应力条件下饱和松砂单调与循环剪切特性的比较研究

本文利用大连理工大学新引进与开发的“土工静力-动力液压-三轴扭转多功能剪切仪”,针对福建标准砂,在不排水条件下同时进行了单调剪切试验与循环剪切试验,进而对其进行了对比分析。通过比较表明,应力-应变关系的应变软化和硬化特性与流滑变形和循环流动特性密切相关,当循环剪切应力水平高于单调剪切过程中应变软化阶段最小强度时将会发生流滑变形。无论在单调剪切中,还是在循环剪切中,稳定状态时的有效偏应力比随着大主应力方向与竖向之间夹角的增大而减小,在中主应力系数相同的条件下,循环剪切中呈现显著剪胀时的有效偏应力比和最终稳定状态时的有效偏应力比峰值分别与单调剪切中达到相变状态时的有效偏应力比和最终稳定有效偏应力比基本上一致。然而不排水条件下单调与循环剪切过程中孔隙水压力的增长特性却并不相同,循环剪切中的最大孔隙水压力随着初始主应力方向角的增大而减小,单调剪切中的最大孔隙水压力却随着主应力方向角的增大而增大。     

循环荷载作用下不均质地层中盾构隧道纵向响应研究

修建在纵向不均质地层中的地铁隧道,由于列车循环荷载的作用,会导致隧道下部的土体产生不均匀沉降,对既有隧道产生不利的影响。针对这一问题,提出考虑隧道剪切效应的地基不均匀沉降对既有隧道竖向变形影响的解析解。既有隧道简化为搁置在Winkler地基上的Timoshenko梁,通过两阶段分析法,分析下卧地层不均匀沉降引起的隧道响应。首先确定列车荷载引起的动偏应力,并运用土层的力学指标计算出静偏应力和破坏偏应力。然后运用累积应变的经验公式计算出隧道下部土体的累计沉降,将土体的沉降转化为力施加在隧道上。基于Timoshenko梁理论,建立考虑隧道剪切效应的隧道竖向变形微分方程,求解得到隧道变形的解析解,进一步可以得到隧道的弯矩、剪力、转角、错台。     

等幅循环荷载作用下土的动剪模量和阻尼

本文根据我国南方8个场址81个试样的动三轴试验资料，对土在等幅循环荷载作用下，其动模量和阻尼与应变幅值的关系进行了分析研究，并与现场测试结果进行对比，分析结果，本文提出一种广义双曲线模型，能更满意地描述各类寺应力应变关系，该模型保持了形式简便，参数物理意义明确等优点，文中还分别对砂土和粘土，给出了模型中参数的统计关系式，这些表达式能明显的映粘性土和非粘性土的特性及其差别。     

饱和土体瞬态响应有限元分析

给出基于Biot多孔介质理论分析饱和土体在动载荷作用下瞬态响应的有限元公式,数值计算部分采用本文有限元法分别计算一维饱和土柱在两种不同类型动载荷作用下的瞬态响应,并将数值计算结果与文献中的解析解进行比较,二者结果十分吻合,从而验证本文方法的可行性。     

Direct differentiation method for response sensitivity analysis of a bounding surface plasticity soil model

Finite element (FE) response sensitivity analysis is an important component in gradient-based structural optimization, reliability analysis, system identification, and FE model updating. In this paper, the FE response sensitivity analysis methodology based on the direct differentiation method (DDM) is applied to a bounding surface plasticity material model that has been widely used to simulate nonlinear soil behavior under static and dynamic loading conditions. The DDM-based algorithm is derived and implemented in the general-purpose nonlinear finite element analysis program OpenSees. The algorithm is validated through simulation of the nonlinear cyclic response of a soil element and a liquefiable soil site at Port Island, Japan, under earthquake loading. The response sensitivity results are compared and validated with those obtained from Forward Finite Difference (FFD) analysis. Furthermore, the results are used to determine the relative importance of various soil constitutive parameters to the dynamic response of the system. The DDM-based algorithm is demonstrated to be accurate and efficient in computing the FE response sensitivities, and has great potential in the sensitivity analysis of nonlinear dynamic soil-structure systems.     

饱和黄土动态液化和静态液化机理的差异性研究

饱和黄土在不同外荷载作用下其液化机理具有显著差异.为研究饱和黄土动态液化和静态液化机理的差异性,基于室内动三轴试验和静三轴试验,研究岷县永光饱和黄土动态液化后的动应力与轴向动应变关系、动孔隙水压力比与轴向动应变关系,分析其静态液化后的偏应力与轴向应变关系、孔隙水压力比与轴向应变关系,并结合液化前、后的SEM试验结果,研...