FRP片材与混凝土粘结性能的精细有限元分析

FRP-混凝土界面粘结性能是外贴FRP片材加固混凝土结构技术的关键问题。基于FRP与混凝土界面面内剪切试验,采用精细单元有限元模型对其界面粘结性能进行了研究。在该模型中,混凝土和FRP片材都使用非常小的单元加以模拟,通过调整混凝土材料的本构模型来考虑单元尺寸的影响。FRP单元和混凝土单元直接连接,通过混凝土单元的断裂破坏来模拟FRP和混凝土界面的宏观剥离破坏过程。通过与大量面内剪切试验结果对比,验证了该精细有限元模型的正确性,并基于精细有限元分析结果,对界面剥离破坏机理进行了讨论。     

粘贴钢板加固钢筋混凝土梁的分离式有限元模型

提出了外粘钢板加固受弯钢筋混凝土梁的非线性有限元模型。该模型中采用了一种特殊的、具有剥离破坏功能的界面单元来模拟混凝土梁和外粘钢板之间的粘结层,这种剥离破坏主要发生在粘贴钢板端部区域和弯曲、剪切裂缝附近。影响这种剥离破坏的主要因素有两个:一是粘贴钢板的端部与加固梁支座距离;二是粘贴钢板的厚度。传统的梁理论不能描述这种加固梁破坏模式,采用有限元方法能全方位地描述这种加固梁的各种性状和破坏模式。数值计算结果与粘贴不同厚度钢板加固梁的试验结果相吻合。     

基于CT切片的三维混凝土细观层次力学建模

基于CT 切片研究混凝土数值模型的三维重构,可以为揭示混凝土破坏机理研究提供更好的研究对象。基于数字图像技术和MATLAB 图像处理工具,针对混凝土截面CT 切片研究混凝土三维模型的重构技术。应用CT技术获取混凝土试件截面切片,应用底帽变换等方法将CT切片处理为三值图片,考虑孔隙影响,并基于体数据法重构混凝土三维模型。基于网格映射方法,重点研究了单元属性控制因素,提出更精确的单元属性识别判断准则,得到了与试件真实骨料配比相近的三维有限元网格模型。对重构的混凝土试件的四点弯拉断裂过程的非线性有限元分析表明,数值分析的弯拉曲线与破坏形态都与实验结果有较好的相似性,数值模型能较好的模拟实际混凝土试件的破坏。     

考虑材料组成特性的混凝土轴拉破坏过程细观数值模拟

为反映骨料、砂浆及其之间的界面过渡区的组合特点和材料性能,基于材料细观非均匀性和有限元方法的混凝土破坏过程细观数值模拟需进行复杂、细致的网格剖分,导致了繁重的前处理工作和可观的计算量。该文对混凝土材料细观单元材质组成的单一化假定进行改进,将内嵌界面过渡区材料的规则化单元视为一种广义复合材料单元,建立了复合型界面损伤模型。采用等效方法确定单元的复合弹性关系,通过有限元法计算单元的局部应力;用细观层次上弹性力学性能的弱化描述单元组成材料的损伤,混凝土材料的破坏过程通过单元各组分的损伤模拟。应用该复合型界面损伤模型研究了混凝土试件的单轴拉伸破坏过程,细观数值模拟结果符合混凝土试件的宏观破坏特征,表明该模型可作为分析混凝土材料破坏过程的一种有效途径。     

界面剥离钢-混凝土组合结构应力波传播谱元法模拟研究

建立钢-混凝土组合结构截面二维谱元法模型,针对钢-混凝土界面完好以及存在界面剥离时模型在单点激励下弹性应力波场进行模拟分析,探究弹性应力波的传播规律。采用去除混凝土单元的方法反映组合结构中钢板与混凝土之间的界面剥离。通过对比分析表明界面剥离的存在对弹性应力波场以及模型上不同位置的位移响应产生影响。通过改变界面剥离程度,得到测点位移的变化规律。通过模拟,谱元法可以有效模拟钢-混凝土组合结构中弹性波的传播规律,为研究基于应力波测量的钢-混凝土组合结构界面缺陷检测机理提供帮助。     

FRP布-混凝土界面粘结性能的有限元分析

FRP(纤维增强复合材料)布与混凝土界面的粘结性能是粘贴 FRP 布加固混凝土结构中的关键问题。首先讨论了该界面问题有限元分析的难点及建模方法,根据使用现有有限元程序试算的结果,讨论了界面问题中混凝土力学行为的特点及对混凝土本构模型的要求;在此基础上,提出了适用于分析 FRP 布-混凝土界面问题的混凝土本构模型,并编制了相应的程序,对 FRP 布-混凝土面内剪切问题进行了分析。分析结果与试验结果吻合较好,并给出了混凝土本构模型中相应参数的建议取值。基于数值模拟结果,对 FRP 布-混凝土界面粘接力学机理进行了讨论。     

钢筋混凝土嵌入式滑移模型

提出一种钢筋混凝土嵌入式滑移模型,将模拟钢筋-混凝土交界面的无厚度粘结单元嵌入到混凝土单元中,保证粘结单元上、下表面分别与混凝土、钢筋单元变形协调,尔后通过两表面位移差值表征钢筋滑移。基于虚功原理集成钢筋、混凝土和粘结单元的刚度贡献,建立了嵌入式滑移模型的有限元平衡方程。应用该模型分析钢筋混凝土简支梁破坏试验,获得的构件承载力、裂缝分布形态和破坏模式与试验结果接近。结果表明:嵌入式滑移模型在分析钢筋混凝土结构承载力和裂缝形态方面具有一定的应用前景。     

不同细骨料下不锈钢管混凝土构件受弯性能研究

为考察不同细骨料种类对不锈钢管混凝土的受弯性能的影响,进行了24根不锈钢管混凝土构件在纯弯荷载作用下的力学性能试验研究。试验的主要参数为:细骨料种类、截面形状和剪跨比。基于试验结果,对比了不锈钢管原状海砂混凝土、不锈钢管淡化海砂混凝土和不锈钢管普通河砂混凝土3类构件的破坏模态,并分析了各主要参数对试件荷载-变形关系曲线、受弯承载力和抗弯刚度的影响规律。试验结果表明:采用原状海砂和淡化海砂取代普通河砂,对不锈钢管混凝土构件受弯承载力和刚度的影响较小。建立了不锈钢管混凝土纯弯构件的有限元分析模型,并利用模型对影响构件力学性能的重要参数进行了分析,在此基础上提出了圆形和方形不锈钢管混凝土受弯承载力的简化计算公式,可为相关工程实践提供参考。     

型钢混凝土结构ANSYS数值模拟技术研究

采用ANSYS程序对6个型钢混凝土梁试件的受力性能进行非线性有限元数值分析,对型钢混凝土结构数值模拟中混凝土和钢材材料模型定义、有限元建模、钢筋单元生成及后处理等关键技术进行系统研究。着重对型钢混凝土粘结滑移性能的数值模拟技术进行了研究。采用由ANSYS程序单元库中非线性弹簧单元combination-39组成的三维连接单元模拟型钢混凝土在不同部位及不同方向上的界面相互作用,建议了非线性弹簧单元粘结力-滑移曲线与型钢混凝土粘结滑移本构关系的转换技术,并提出了生成非线性弹簧单元的实用方法。最终形成考虑粘结滑移的型钢混凝土数值模拟技术。型钢混凝土梁数值模拟结果与试验结果吻合较好,表明所建立型钢混凝土结构ANSYS数值模拟技术合理、可行,可适用于基于ANSYS程序的型钢混凝土结构有限元数值模拟和受力性能深入研究。     

U型FRP加固钢筋混凝土梁受剪剥离性能的有限元分析

采用FRP布对梁进行抗剪加固,可以有效的解决梁因配箍率不足而导致的受剪承载力偏低的问题。根据文献[1]中7根试验梁的参数,针对工程中常用的U型FRP受剪加固形式,建立三维有限元分析模型,采用商业有限元计算软件ANSYS,数值模拟了加载全过程和受剪剥离受力性能,根据试验结果确定了FRP-混凝土界面粘结剥离强度,并建议了合适的裂面剪力传递系数。根据有限元分析结果,作者又进一步研究了U型FRP布的应变分布、分担剪力的贡献、剥离破坏的过程,以及加固量、FRP类型和粘贴面积率对加固梁受剪承载力的影响。在有限元分析的基础上结合试验结果,建议了U型粘贴加固的受剪剥离承载力计算方法。     

A discrete spectral model for intermediate crack debonding in FRP-strengthened RC beams

One of the common failure modes of reinforced concrete (RC) beams strengthened in flexure with a bonded fibre-reinforced polymer (FRP) is intermediate crack (IC) debonding, which is originated at a critical section in the vicinity of flexural cracks and propagates to a plate end. Despite considerable research over the last years, few reliable and simplified IC debonding strength models have been developed. This paper firstly presents a one-dimensional model based on the discrete crack approach for concrete and the spectral element method for the numerical simulation of the IC debonding process. The progressive formation of flexural cracks and subsequent concrete–FRP interfacial debonding is formulated by the introduction of a new element able to represent both phenomena simultaneously without perturbing the numerical procedure. Furthermore, with the proposed model, high frequency dynamic response for these kinds of structures can also be obtained in a very simple and non-expensive way, which makes this procedure very useful as a tool for diagnoses and detection of debonding in its initial stage by monitoring the change in local dynamic characteristics.     

Prediction of intermediate crack debonding failure in FRP-strengthened reinforced concrete beams

The present paper addresses with intermediate crack (IC) debonding failure modes in FRP-strengthened reinforced concrete beams; a non-linear local deformation model, derived from a cracking analysis based on slip and bond stress, is adopted to predict the stresses and strains distribution at failure. Local bond-slip laws at the longitudinal steel-to-concrete and FRP-to-concrete interfaces, as well as the tension stiffening effect of the reinforcement (steel and FRP) to the concrete, are considered. Model predictions are compared to experimental results available in the literature together with predictions of other models. Reasonable agreement with experimentally measured IC debonding loads and FRP strains is observed for all examined strengthened beams. Results of a parametric analysis, varying geometrical and mechanical parameters involved in the physical problem are also presented and discussed.     

Analytical study on RC beams strengthened for flexure with externally bonded FRP reinforcement

This paper presents analytical study on reinforced concrete (RC) beams strengthened for flexure with externally bonded fiber reinforced polymer (FRP) reinforcement. A simple yet rational numerical model is developed and proposed for this purpose. The model is based on cross-sectional analysis satisfying strain compatibility and equilibrium conditions. The moment–curvature relationship can be generated for an RC beam section using an incremental strain technique. The model can also generate the load–deflection relationship of the beam with respect to its configuration, loading system, and preloading conditions. The model can predict the flexural capacity of FRP-strengthened section based on full composite action and IC debonding failure modes. This also allows for designing the FRP strengthening area according to the desired failure mode. Various IC debonding criteria were adopted in the model and compared with test results from the literature. The result of comparison indicated that the accuracy of the model is dependent on the adopted IC debonding criterion. Furthermore, the model was verified against test data related to full composite action failure mode and good agreement was found.     

Fracturing behaviors of FRP-strengthened concrete structures

In this paper, we focus on the study of concrete cracking behavior and interfacial debonding fracture in fiber reinforced polymer (FRP)-strengthened concrete beams. An experimental program is systematically reviewed according to the observed failure modes, in which it is found that the interfacial debonding may propagate either within the adhesive layer or through concrete layer in the vicinity of bond interface. A finite element analysis is performed to investigate the different types of debonding propagation along FRP-concrete interface and crack distribution in concrete. For the numerical fracture models, interfacial debonding that initiates and propagates in adhesive layer is modeled by fictitious interfacial crack model. And concrete cracking, including the debonding fracture through interfacial concrete, is modeled by smeared crack model. Properties of the interfacial adhesive layer and concrete are considered to significantly influence the debonding propagation types and crack distribution. The interactions between interfacial bond strength, interfacial fracture energy of bond adhesive layer and tensile strength, fracture energy of concrete are discussed in detail through a parametric study. According to the results, the effects of these properties on different types of interfacial debonding, concrete cracking behavior and structural load-carrying capacity are clearly understood.     

FRP debonding from a concrete substrate: Some recent findings against conventional belief

For beams strengthened with FRP plates, many existing theories and concepts related to debonding failure are challenged by recent experimental observations in our laboratory. For debonding initiated by stress concentrations at the plate end, ultimate failure is always preceded by the formation of a major crack in the concrete member, causing interfacial stresses to change significantly from the elastic distribution. Existing elastic models are therefore not applicable to failure prediction. For debonding initiated from a flexural crack near mid-span, fracture mechanics based models indicate that the plate stress at failure is inversely proportional to the square root of the thickness. Test results from beams of various sizes and retrofitted with plates of different thickness show a different trend. To delay debonding failure, bonding of U-shape FRP ‘stirrups’ to the end of the FRP plate has been proposed. Test results indicate that ‘stirrups’ applied away from the plate end can indeed be more effective under some practical situations.     

基于粘结-滑移的FRP筋钢纤维轻骨料混凝土梁裂缝宽度计算方法

将纤维增强筋(FRP筋)混凝土梁裂缝的开展过程视作FRP筋由两侧混凝土中拔出的过程,建立了基于粘结-滑移的FRP筋轻骨料混凝土梁裂缝宽度微分方程。根据规范给出的裂缝宽度限值,合理确定滑移量上限,提出并引入了适用于梁正常使用阶段的FRP筋钢纤维轻骨料混凝土“低滑移”阶段粘结-滑移本构模型。进而,在明确最大裂缝间距l_max、裂缝宽度放大系数h₂/h₁与裂缝截面纤维混凝土残余应力σ_fib等特征参数的基础上,利用迭代算法建立了FRP筋钢纤维轻骨料混凝土梁最大裂缝宽度计算模型。基于正常使用阶段裂缝宽度实测数据对建议模型的适用性进行评估,结果表明:裂缝宽度限值0.5 mm内,建议模型能够准确预测FRP筋钢纤维轻骨料混凝土梁的最大裂缝宽度。     

复杂应力状态对混凝土梁外贴FRP条带抗剪贡献的影响

FRP剥离是外贴FRP抗剪加固混凝土梁主要的破坏模式之一。以往研究中往往简单的将面内剪切试验得到的FRP-混凝土界面粘结滑移关系应用于外贴FRP抗剪加固梁的剥离承载力计算。外贴FRP抗剪加固梁中FRP下的混凝土的应力状态与面内剪切试验情况有较大差别,这对FRP-混凝土界面的力学性能具有较大的影响。因此,以往的方法高估了FRP条带的抗剪贡献。该文研究了混凝土多轴应力状态对FRP-混凝土界面性能的影响,并根据试验研究结果,提出了U形FRP加固混凝土梁中FRP剥离应变的折减系数。与试验结果的对比计算分析表明:使用该折减系数修正后的设计公式更加合理。     

Width effect in the interface fracture during shear debonding of FRP sheets from concrete

The increasing use of carbon fiber reinforced polymer (FRP) sheets for strengthening existing reinforced concrete beams has generated considerable research interest in understanding the debonding mechanism of failure in such systems. The influence of the width of the FRP on the load-carrying capacity is investigated in this paper. The interfacial crack propagation and strain distribution during shear debonding are studied using a full-field optical technique known as digital image correlation. The results indicate the development of high stress/strain gradients at the interface as a consequence of the relative slip between the FRP and the concrete. The interface stress transfer between the FRP and concrete produces axial strain gradients in the FRP along its length. In the vicinity of the edges along the width of the FRP, edge regions comprising of both FRP and concrete are established. The edge region is characterized by high strain gradients in a direction perpendicular to the length and is of fixed width throughout the debonding process. The size of the edge regions is also found to be quite independent of the width of the FRP. Mode-II fracture condition exists in the interface directly below the FRP away from the edge regions. The interfacial crack is shown to be associated with a cohesive stress transfer zone of fixed length. During debonding, the stress transfer zone is shown to propagate in a self-similar manner at a fixed load. The interface fracture properties obtained from the portion of FRP away from the edge regions are shown to be independent of the FRP width. It is shown that when the width of concrete is larger than that required for establishing the edge regions, the nominal stress at debonding increases with an increase in the width of FRP. The scaling in the load carrying capacity during shear debonding is shown to be the result of the edge regions which do not scale with the width of the FRP.     

A novel numerical model of debonding of FRP-plated concrete beam

Accurate modeling is required to estimate the debonding in a plated fiber-reinforced polymer (FRP) concrete beam. In the present investigation, a numerical method is developed to model a crack in the FRP–concrete interface. An initial notch is located at the mid-span of the concrete beam. A modified crack closure integral method is implemented to model Mode-I fracture in the concrete. In the present research, a special interface element is formulated to simulate and to predict the distribution of interfacial shear stresses by using drilling degrees of freedom in the nodes of interface elements. Cohesive forces in the nodes of interface elements are formulated by finite element methods. A crack propagation criterion is presented to evaluate when the crack grows in FRP–concrete interface. If the principal stress in the node at the tip of an interface element reaches the maximum shear stress along the FRP–concrete interface, debonding happens. The model is robust, accurate, independent of mesh size, and it is able to model the crack growth in the concrete and debonding of the FRP–concrete interface, simultaneously. The model presented in this study showed acceptable similarity to previous research data.