混凝土动力本构模型的基础理论与建模应用综述

混凝土结构分析问题中动力荷载下混凝土的动力本构模型研究日益重要。为对建立混凝土动力本构关系的基础理论有系统的认知和了解其应用,对其进行了总结,简述了在建立混凝土动本构方面的应用,对混凝土动力本构模型的理论发展趋势作了展望。并对当前混凝土动力本构模型的应用做了概括评述,并指出了混凝土动力本构的可行研究方向,为建立混凝土动力本构模型提供指导。     

往复荷载作用下锈蚀钢筋混凝土柱黏结滑移模型及数值模拟研究

为实现地震作用下锈蚀钢筋混凝土柱精细化数值模拟分析,基于已有研究成果建立往复荷载作用下锈蚀钢筋与混凝土间的黏结滑移本构模型:结合课题组前期试验结果,采用ABAQUS有限元分析软件对建立的黏结滑移本构模型进行有效性验证,通过对数值计算结果与试验结果之间误差分析,进一步对黏结滑移模型中的摩擦黏结应力系数和退化系数进行修正,...     

A plastic-damage concrete model for earthquake analysis of dams

A new plastic-damage constitutive model for cyclic loading of concrete has been developed for the earthquake analysis of concrete dams. The rate-independent model consistently includes the effects of strain softening, represented by separate damage variables for tension and compression. A simple scalar degradation model simulates the effects of damage on the elastic stiffness and the recovery of stiffness after cracks close. To simulate large crack opening displacements, the evolution of inelastic strain is stopped beyond a critical value for the tensile damage variable. Subsequent deformation can be recovered upon crack closing. The rate-independent plastic-damage model forms the backbone model for a rate-dependent viscoplastic extension. The rate-dependent regularization is necessary to obtain a unique and mesh objective numerical solution. Damping is represented as a linear viscoelastic behaviour proportional to the elastic stiffness including the degradation damage. The plastic-damage constitutive model is used to evaluate the response of Koyna dam in the 1967 Koyna earthquake. The analysis shows two localized cracks forming and then joining at the change in geometry of the upper part of the dam. The upper portion of the dam vibrates essentially as rigid-body rocking motion after the upper cracks form, but the dam remains stable. The vertical component of ground motion influences the post-cracking response. © 1998 John Wiley & Sons, Ltd.     

应变率对钢筋混凝土柱动态特性的影响

文中以OPENSEES有限元软件为工具,利用基于柔度法的钢筋混凝土柱纤维单元,考虑钢筋与混凝土材料的应变率效应,对钢筋混凝土柱进行了动态响应分析,并用试验结果验证了文中方法的正确性.通过数值模拟,研究了钢筋混凝土柱在不同轴压比、不同混凝土强度、不同纵筋率条件下的动态力学特性.结果表明,随着轴压比的提高,钢筋混凝土柱的应...     

Pseudo‐dynamic testing of a concrete gravity dam

Inspired from the simplified single degree of freedom modeling approach used in the preliminary design of concrete gravity dams, a pseudo‐dynamic testing method was devised for the seismic testing of a concrete gravity dam section. The test specimen was a 1/75 scaled section of the 120‐m‐high monolith of the Melen Dam, one of the highest concrete gravity dams to be built in Turkey. The single degree of freedom idealization of the dam section was validated in the first stage of the study using numerical simulations including the dam–reservoir interaction. Afterwards, pseudo‐dynamic testing was conducted on the specimen using three ground motions corresponding to different hazard levels. Lateral displacement and base shear demands were measured. The crack propagation at the base of the dam was monitored with the measurement of the crack widths and the base sliding displacements. After the pseudo‐dynamic loading, a static pushover test was conducted to determine the reserve capacity of the test specimen. Despite major cracking at the base of the monolith, neither significant sliding nor a stability problem that might jeopardize the stability of the dam was observed. Copyright © 2015 John Wiley & Sons, Ltd.     

Incremental dynamic analysis of concrete gravity dams including base and lift joints

The growth in computer processing power has made it possible to use time-consuming analysis methods such as incremental dynamic analysis(IDA) with higher accuracy in less time.In an IDA study,a series of earthquake records are applied to a structure at successively increasing intensity levels,which causes the structure to shift from the elastic state into the inelastic state and finally into collapse.In this way,the limit-states and capacity of a structure can be determined.In the present research,the IDA of a concrete gravity dam considering a nonlinear concrete behavior,and sliding planes within the dam body and at the dam-foundation interface,is performed.The influence of the friction angle and lift joint slope on the response parameters are investigated and the various limit-states of the dam are recognized.It is observed that by introducing a lift joint,the tensile damage can be avoided for the dam structure.The lift joint sliding is essentially independent of the base joint friction angle and the upper ligament over the inclined lift joint slides into the upstream direction in strong earthquakes.     

Seismic behaviour of cracked concrete gravity dams

A finite element model of incremental displacement constraint equations (IDCE), based on an existing node‐to‐surface concept, is implemented to deal with dynamic contact surfaces in the seismic behaviour analysis of cracked concrete gravity dams. After verification for sliding, rocking and impact, the IDCE model is applied to study the seismic responses of concrete gravity dams with different profiles and crack locations for a variety of parameters, such as coefficient of friction, water level and type of earthquake, as well as impact damping based on the concept of coefficient of restitution. It is revealed that cracked concrete gravity dams can experience not only sliding and rocking modes, but also the drifting mode in some cases of crack either at the base or at a height. Downstream sliding is normally accompanied by rocking, especially for the cases of crack at a height. Due to rocking and drifting, a cracked dam may still acquire a certain amount of residual sliding even if the effective coefficient of friction is relatively high. Copyright © 2005 John Wiley & Sons, Ltd.     

一种新的土体动力本构模型

基于指数函数的有界性、函数曲线形状和构造土体动力本构模型的一般原则,把函数Y=e^x在（-∞,0]区间上的图像进行翻转、平移、放缩,从而构造出土体的动力本构模型的骨架曲线。在卸载和反向加载时,采用与骨架曲线相同的函数形式,并以前一次卸载开始点作为起点,以土体的极限应力水平作为渐近线,构造出土体动力本构模型的滞回曲线。在此基础上构造出适用于非对称循环荷载的指数形式土体动力本构模型（UE模型）。并用共振柱实验的结果检验了模型的有效性。UE模型具有四个特点：第一,适用于非对称循环荷载;第二,记忆量小;第三,卸载再加载滞回曲线自动满足Masing准则;第四,模型参数少,物理意义明确,可用常规试验确定。     

库水模型及库水深度对拱坝动力响应的影响

基于接触非线性有限元模型,以锦屏一级拱坝为例,库水分别采用附加质量模型、可压缩流体有限元模型、不可压缩流体有限元模型计算了正常蓄水位及运行低水位时坝体的动力响应,结果表明:库水模型对拱坝动力响应有较大影响,随库水深度的增大,各模型计算结果差异增大;相比于流体可压缩模型,采用不可压缩流体模型所得动力响应普遍偏大;运行低水位工况,由于静水压力减小导致拱效应减弱,从而降低了拱坝的整体性,因此运行低水位工况各缝开度普遍高于正常蓄水位工况,且其拉应力范围较大,因此,运行低水位工况将对抗震设计起控制作用。     

An experimental evaluation of ice cover effects on the dynamic behaviour of a concrete gravity dam

An extensive forced‐vibration testing programme has been carried out on an 84‐m concrete gravity dam located in northeastern Québec, Canada. The dam was subjected to a harmonic load on the crest in summer and severe winter conditions with temperatures ranging from ?10°C to ?15°C and a 1.0–1.5m ice cover. Acceleration and hydrodynamic frequency responses were obtained in different locations on the dam and in the reservoir. The main objective of the repeated tests was to investigate the effects of the ice cover on the dynamic behaviour of the dam–reservoir–foundation system, by comparing summer and winter results. Modifications in damping and resonance frequencies were observed, as well as an additional resonance that was attributed to an interaction of the dam with the ice cover. These findings provided a reliable and unique database for the investigations of dam–reservoir–foundation interaction and, in particular, the ice‐cover effects for dams located in northern regions. Copyright © 2002 John Wiley & Sons, Ltd.     

拱坝非线性地震反应分析

本文根据一致粘弹性模型的概念，引入应变率的影响，将混凝土静态William-Warnke三参数模型改造成一致粘塑性William-Warnke三参数本构模型，并用这个模型对某高拱坝进行了非线性地震响应分析，与线弹性模型和应变率无关的William-Warnke三参数模型的结果进行了比较，初步探讨了应变率对拱坝地震反应的影响。     

Effect of reservoir bottom on earthquake response of concrete dams

The absorption of hydrodynamic pressure waves at the reservoir bottom has dominant effects on the structural response of the dam when subjected to ground motion. In the present study, a model is proposed for the absorption effects of the reservoir bottom in the earthquake analysis of dams. The model utilizes the wave reflection coefficient approach and is based on the solution of the wave equation in a sediment layer of viscoelastic material with a constant thickness overlying an elastic, semi-infinite foundation. Numerical studies were conducted to evaluate the effect of the sediment layer thickness and material properties as well as the effect of reflection of waves from the underlying rock. It is shown that the current approach of assuming the wave reflection coefficient at the reservoir bottom based on the characteristics of the sediment material and excluding the effect of the reflected waves from the underlying rock, may significantly underestimate the seismic response of the dam.     

A RATE-DEPENDENT ISOTROPIC DAMAGE MODEL FOR THE SEISMIC ANALYSIS OF CONCRETE DAMS

In this paper a rate-dependent isotropic damage model developed for the numerical analysis of concrete dams subjected to seismic excitation is presented. The model is shown to incorporate two features essential for seismic analysis: stiffness degradation and stiffness recovery upon load reversals and strain-rate sensitivity. The issue of mesh objectivity is addressed using the concept of the ‘characteristic length’ of the fracture zone, to show that both the softening modulus and the fluidity parameter must depend on it to provide consistent results as the computational mesh is refined. Some aspects of the numerical implementation of the model are also treated, to show that the model can be easily incorporated in any standard non-linear finite element code. The application of the proposed model to the seismic analysis of a large gravity concrete dam shows that the structural response may vary significantly in terms of the development of damage. The inclusion of rate sensitivity is able to reproduce the experimental observation that the tensile peak strength of concrete can be increased up to 50 percent for the range of strain rates that appear in a structural safety analysis of a dam subjected to severe seismic actions.     

高强混凝土剪力墙地震损伤模型分析

在分析比较现有钢筋混凝土结构的地震损伤模型的基础上,根据高强混凝土剪力墙的滞回曲线特性及刚度退化规律,采用能量耗散系数和最大变位处的卸载刚度的退化为破坏参数,提出了适用于高强混凝土剪力墙构件的双参数地震损伤模型。依据已有的高强混凝土剪力墙构件试验研究结果,对损伤模型进行非线性回归分析,确定了相应的地震损伤模型参数,提出了高强混凝土剪力墙各性能水平的损伤指数以及相应于三水准抗震设防的损伤指数允许值。分析结果表明,按本文所提出的损伤模型计算得到的剪力墙构件最终破坏时对应的损伤指数,其平均值在合理范围内,标准差较小;损伤指数计算值对应的损伤程度基本符合试验结果,计算结果离散程度较低。     

高强混凝土框架柱的地震损伤模型

本文首先讨论了现有的几种地震损伤模型及其特点,然后计算出试验框架柱累积滞回耗能随加载循环水平的变化,分析和讨论了轴压比、箍筋形式、配箍率、纵向配筋率、混凝土强度等级以及剪跨比对累积滞回耗能的影响。根据现有的损伤模型,对试验框架柱的损伤指数进行了分析比较,给出了符合高强混凝土框架柱和普通混凝土框架柱的地震损伤模型。根据损伤指数随加载循环水平的变化规律,分析和讨论了剪跨比、轴压比以及配箍率对损伤的影响。最后通过对各地震损伤模型的比较分析,提出了高强混凝土框架柱的地震损伤模型。     

基于剩余寿命等效的钢筋混凝土构件地震损伤模型

基于剩余寿命等效的概念，提出了钢筋混凝土构件地震损伤改进模型。其基本思想是认为以某损伤参数(如刚度、位移延性、能量等)建构的损伤指数与疲劳损伤指数(如纵筋累积疲劳损伤)，在损伤指数D＝1．0条件下都可以表示构件失效。这样在某时刻以不同损伤指数表达的构件剩余寿命(1．0—Di)与损伤指数增量ΔDi之比，都等于使构件完全失效时对应的继续循环加载周数。利用这种等效关系定义了新的损伤指数，可以在构件的反应参量和破坏机理之间建立起联系。作为实际应用给出了一种基于截面刚度退化的低周反复荷载作用下钢筋混凝土桥墩损伤模型。     

基于地震记录的混凝土拱坝模态识别结果评价研究

利用混凝土拱坝地震记录识别的模态参数，可以揭示结构在地震过程中实际动力特性的变化情况，为结构地震反应分析和震后损伤评估提供重要信息。首先对模态识别常用方法的基本原理进行介绍；然后利用龙羊峡拱坝两次地震观测数据，采用"输入—输出"型和"仅考虑输出"型两类方法对大坝模态参数进行识别；最后将获得的模态识别结果与工程经验值和其他学者的研究成果进行对比，以分析评价识别结果的合理性。相关研究成果可为基于地震记录的混凝土拱坝模态参数识别的工程应用提供经验借鉴。     

基于双曲正切函数的土动力非线性本构模型

基于双曲正切函数,构造了一种新的土动力非线性本构模型。该模型从双曲正切函数出发,通过平移和缩放构造了土动力应力应变关系的骨架曲线和卸载、反向加载的滞回曲线。相对于其他模型而言,这种新的数学模型参数较少,物理概念明确,形式简单,更利于编程实现,加卸载应力应变关系曲线只需要记忆加卸载转折点处的应力和应变值。将该数学模型应用于场地地震反应分析中,并与常用的等效线性化方法的地震反应结果进行比较,结果初步证明了该本构模型的可行性。     

基于多弹簧模型的钢框架结构三维弹塑性地震反应分析

文章提出了考虑剪切变形弹塑性刚度影响的多弹簧模型的空间梁柱单元,用于反复加载下钢构件的数值模拟。应用多轴应力状态下的塑性应力-应变关系理论,在单元模型中考虑了弹塑性区域剪切变形对单元的弹塑性刚度的影响,针对单元模型的塑性区长度和弹簧布置两个参数,文中给出了合理建议取值。数值模拟分析表明,所提出的单元模型能够很好地模拟钢构件的弹塑性性能。在此基础上,以多高层钢结构商业设计软件MTS为平台,进行三维钢框架结构弹塑性动力时程分析模块的开发。最后,文章对一纯钢框架结构足尺振动台试验进行数值模拟,模拟分析结果表明,本文所提出的多弹簧单元模型及开发的动力分析模块能够较好地模拟钢结构在地震作用下的弹塑性性能。     

高阻尼混凝土框架的动力特性与抗震试验

在混凝土中加入高阻尼掺料,从而有效地提高钢筋混凝土结构自身的阻尼比,这是从材料角度出发的一种新的结构振动控制方法。本文利用聚合物的高阻尼特性和材料的表面改性技术,在普通钢筋混凝土柱中掺加一定数量的苯丙乳液和改性的硅粉,制作了3组单层两榀混凝土框架;然后对其进行了试验研究,测定了框架结构的阻尼比和频率等动力特性;并且研究和比较了不同地震动下高阻尼混凝土框架的相对位移和绝对加速度反应。试验结果表明:改性硅粉和苯丙乳液的加入均可以提高混凝土框架结构破坏前后的阻尼比,分别提高52.4%、82.3%和27.5%、42.5%;改性硅粉可以有效地提高混凝土框架结构破坏前后的刚度,分别提高5%和15%~50%;虽然苯丙乳液的加入降低了混凝土框架结构的初始刚度,大约降低17%,但却提高了混凝土框架结构破坏后的残余刚度,提高大约10%~20%。改性硅粉和苯丙乳液的加入对于混凝土框架结构地震反应的减振控制起到了很好的作用。