混凝土裂缝开展宽度计算的有限单元法

本文采用“最大拉应力单元开裂”准则，改进了非线性分析的迭代流程，使其最大可能地模拟实际结构的开裂情况，进而可以基于分布裂缝模式计算裂缝发生位置，裂缝间距，裂缝开展深度和宽度。算例表明，该法所计算的裂缝分布规律是正确的，计算裂缝宽度与试验实测值及规范公式计算值基本吻合，可以推广应用。     

A numerical model for reinforced concrete structures

This paper describes a two-dimensional approach to model fracture of reinforced concrete structures under (increasing) static loading conditions. The first part is dedicated to the concrete material. The concrete is described in compression by a non-local isotropic damage constitutive law. In tension, a fictitious crack/crack band model is proposed. The influence of biaxial stress states is incorporated in the constitutive relations. In the second part a bond model is described. It accounts for different failure mechanisms, a pullout failure and a splitting failure. This approach is applied to prestressed concrete beams with different failure mechanisms. The numerical results are compared to experimental data and show good agreement.     

High resolution COD image analysis for health monitoring of reinforced concrete structures through inverse analysis

Direct and inverse problems of a fracture mechanics based RC beam model are solved. Solution of the direct problem that maps crack bridging stresses into crack opening displacements (COD) is straightforward, but the inverse problem is ill-posed, and better solved by the theory of inverse problems. This paper exploits the Tikhonov regularization method to solve the inverse problem, and estimates the force and location of rebar in buried concrete from CODs. Bending tests are carried out on model RC beams in the laboratory to demonstrate the applicability of the method. During the tests, a microscopic camera snaps high resolution digital pictures of cracked concrete surface. The images are analyzed by a software to measure surface CODs that are input into the inverse problem. The practical CODs inevitably include noise due to experimental error, which makes the inverse problem ill-posed, and necessitates regularization. In the current inverse analysis by the Tikhonov regularization method, bridging stress profiles, i.e. variation of the crack bridging stress along the crack length, has been figured out. Results are compared with those from other theoretical methods of analysis as well as with the readings from strain gauges. The method is a suitable non-destructive means for existing structures in cases where the section information is inadequate, or damages/repairs have altered the designed cross-section.     

钢筋混凝土结构改进型分离式数值模型

提出一种考虑粘结滑移效应的钢筋混凝土改进型分离式数值模型。在混合物理论基础上,该模型兼顾混凝土基体和钢筋的力学行为,且基于钢筋混凝土界面粘结滑移模型,获得了钢筋等效模型。改进型分离式数值模型由于对钢筋及其界面无显式离散要求,使得钢筋的运用完全独立于其几何形状,同时对混凝土网格没有约束,并且不增加计算成本,因此该模型可适用于钢筋混凝土宏观结构层面分析。通过钢筋混凝土构件-结构的爆炸实验,对改进型分离式数值模型进行层次化验证。对比结果表明,考虑粘结滑移效应的有限元模型能够更好地预测钢筋混凝土结构的宏观力学行为。     

钢筋混凝土梁临界斜裂缝倾角计算的概率模型

综合考虑剪跨比、混凝土强度、配筋率和配箍率等重要因素的影响,研究建立了RC梁临界斜裂缝倾角计算的概率模型。首先,基于修正压力场理论,建立了RC梁临界斜裂缝倾角的确定性计算模型;然后,引入剪跨比修正系数,并综合考虑主观不确定性和客观不确定性因素的影响,结合贝叶斯理论和马尔科夫链蒙特卡洛法（MCMC）,建立了RC梁临界斜裂缝倾角计算的概率模型;最后,通过与试验数据和传统确定性计算模型的对比分析,验证了该模型的有效性和适用性。分析结果表明,随着剪跨比的增大,RC梁的临界斜裂缝倾角逐渐减小;临界斜裂缝倾角的试验测试值的范围为23°～41°,具有显著的离散性;本文概率模型不仅可以合理描述临界斜裂缝倾角的概率分布特性,而且可以校准传统确定性计算模型的计算精度和置信水平,以及根据预定的置信水平确定临界斜裂缝倾角的概率特征值,具有良好的计算精度和适用性。     

A multi-fiber approach for modeling corroded reinforced concrete structures

Taking into account the specific behavior of the steel/concrete interface is of primary importance to predict properly the structural response of RC structures. Several constitutive models have been proposed in the literature within the framework of nonlinear finite element method (2D and 3D). Such approaches usually lead to high computational costs due to the large number of degrees of freedom. In the present paper, a multifiber-based model including the steel/concrete interface behavior is proposed. Despite the fact that the kinematics of the multi-fiber approach is based on the theory of beams, this simplified strategy accounts for local phenomena such as the relative sliding between concrete and steel. Furthermore, this steel/concrete interface constitutive model can be extended to model the loss of bond properties due to corrosion. The numerical implementation aspects are described and local responses at the Gauss point level are exposed in the cases of monotonic loadings with and without corrosion. The efficiency and the reliability of the proposed approach are tested on structural case studies which highlight a good agreement between numerical and experimental results. This multifiber-based model provides a pertinent tool for the engineers concerns with the structural assessment of degraded reinforced concrete structures.     

Shock wave structures ahead of nonuniform fan cascades

We study shock wave structures (SWS), consisting of shock waves and expansion waves between them, that occur in supersonic flow past nonuniform fan cascades when the velocity component normal to their front (“axial” component) is subsonic. The cascade nonuniformity is due to the scatter in the setting angles of identical blades, either sharp or blunt. A result of the uniformity is the generation of combined noise, whose frequencies are much smaller than the fundamental frequency of the uniform cascade, and slower nonlinear SWS attenuation. The accurate and fast “simple wave method” and “nonlinear acoustics approximation”, together with numerical algorithms for integrating Euler equations on overlapping grids (in calculating flow past blunt edges) and on SWS-adapted grids, are applied to determine the “guiding” action of nonuniform cascades and to describe the SWS evolution. The application of the Fourier analysis gives the sound field spectrum. The use of blades with rectilinear initial regions of the “backs” for reducing supersonic fan blade noise is efficient only at small (less than 0.25°) scatter in the setting angles. The shock wave structures attenuate more rapidly ahead of nonuniform cascades composed of blunt blades than ahead of those with sharp blades. For uniform cascades the blade bluntness effect is not large.     

剪切型钢筋混凝土柱临界斜裂缝倾角的概率模型

对于剪切型钢筋混凝土(RC)柱,传统的确定性临界斜裂缝倾角模型难以有效考虑其材料参数、几何尺寸和边界约束条件等方面不确定性因素的影响,导致计算精度有限,且离散性较大。鉴于此,本文研究建立了剪切型RC柱临界斜裂缝倾角的概率模型。首先,基于变角桁架模型理论,建立了剪切型RC柱临界裂缝倾角的确定性模型;然后,考虑主观不确定性和客观不确定性因素的影响,结合贝叶斯理论和马尔可夫链蒙特卡洛(MCMC)法,建立了剪切型RC柱临界斜裂缝倾角的概率模型,并推导了均值和方差的解析表达式,从而能够合理描述临界斜裂缝倾角的概率分布特性;最后,利用试验数据对比验证了该模型的有效性,并校准了现有确定性模型的置信水平,进而确定了不同置信水平下剪切型RC柱临界斜裂缝倾角的概率特征值。     

钢筋混凝土排架结构的抗爆破坏等级

为了研究钢筋混凝土排架结构在大当量爆炸冲击波下的破坏规律,依据最大TNT当量为3 t的爆炸试验,对排架主体结构的抗爆破坏等级进行数值模拟研究。通过量纲分析得到1/2缩比模型的荷载参数和结构尺寸。基于Abaqus有限元软件,利用CONWEP方法实现爆炸加载,分别计算装药0.5 t爆距33 m和装药3 t爆距33 m两种工况下排架结构的破坏形态,并与试验结果进行对比。进一步通过控制药量和距离,计算不同超压和冲量下缩比模型的破坏形态。研究结果表明,排架的关键破坏特征为中间承重柱的倾覆转动;数值计算与试验破坏形态吻合较好,特征位移和特征转角的最大相对误差分别为5.6%和4.6%。以承重柱的倾覆角作为划分依据,将计算结果分为3种破坏等级,拟合得到的超压-冲量曲线和药量-距离曲线可用于厂房安全距离和仓库容量设计以及意外爆炸下的破坏程度预估。

     

Shock wave configurations and flow structures in non-axisymmetric underexpanded sonic jets

An experimental and numerical study of underexpanded free sonic jet flows issuing from rectangular, elliptical and slot nozzles has been undertaken. Aspect ratios (AR) of 1, 2, and 4 are described at pressure ratios (exit plane pressure to ambient pressure), of 2 and 3. There is good qualitative agreement between the experimental observations and the numerical predictions. In the case of rectangular jets, a complex system of shock waves forming the incident shock system is identified. This shock wave system originates at the corners of the nozzle exits, and proceeds downstream. Mach reflections are found to occur on the incident shock wave surface as well as the presence of a Mach disk terminating the first jet cell. This Mach disk has the shape of a square, a hexagon, or an octagon depending on the nozzle shape. For slot and elliptical jets, the formation of the incident shock wave was not observed along the minor axis plane of the nozzle for AR > 2. The incident shock wave was observed to originate downstream of the nozzle exit in the major axis plane. This wave system undergoes a transition to Mach reflection as it propagates downstream of the nozzle exit. In all cases tested, the shape of the jet boundary is significantly distorted. In rectangular jets, the narrowing of the jet boundary along the diagonal axis of the nozzle exit is observed, and in the case of the elliptical and slot jets axis switching is noted.     

平板撞击下C30混凝土中冲击波的传播特性

采用1级气炮加载技术和锰铜应力计多点测试技术,开展了C30混凝土在平板撞击条件下的冲击压缩实验研究。基于锰铜应力计实测的应力波形,研究了混凝土中冲击波的传播特性,结果显示冲击波的应力峰值随传播距离呈现明显的衰减特性,衰减过程可分为2个阶段。在早期阶段,卸载波没有赶上前面传播的冲击波,冲击波应力峰值衰减较慢,主要是混凝土材料的本构粘性效应所引起的;而后期阶段应力峰值的快速衰减则归因于混凝土材料的本构粘性效应、后续的来自飞片自由面的反射波追赶卸载、边侧稀疏波卸载及波传播的几何弥散效应的共同作用;另外,冲击波在混凝土中传播的升时也随着传播距离逐渐增大,即由强间断波逐渐转化为弱间断波。     

Damage imaging of reinforced concrete structures using electromagnetic migration algorithm

Reconstructing damage geometry with computationally efficient algorithms is of primary importance in establishing a robust structural health monitoring system (SHMS). In this paper electromagnetic migration, a linearized imaging algorithm, is adopted to image the damages in reinforced concrete structures. This algorithm is formulated in time-domain for 3-D inhomogeneous isotropic and lossy structures. In order to reduce the computational cost and to examine the damage resolution of this imaging algorithm, different imaging conditions are introduced. Numerical simulations in 2-D transverse magnetic (TM) wave for a reinforced concrete slab with multiple damages are performed to test the effectiveness of the algorithm. All synthetic sensor data, incident field, and migration field are computed via a finite difference time-domain (FDTD) method. It is concluded that the proposed imaging algorithm is capable of efficiently identifying the damages geometries, is robust against measurement noise, and may be employed in a SHMS.     

钢筋混凝土结构的三维有限元非线性分析

提出了一个简单的混凝土三维本构模型,结合两种钢筋分布模式编制了钢筋混凝土结构非线性分析的三维有限元程序,通过两个经典的算例对比分析,表明本文提出的混凝土本构模型能够有效地模拟结构的破坏荷载和破坏过程。     

预应力混凝土平面杆系结构的有限元方法

建立了基于有限元方法的考虑材料和几何非线性的任意截面预应力混凝土平面杆系结构的数值分析模型,可用于模拟预应力混凝土大跨度梁、单向偏压细长柱等的非线性全过程结构响应。引入修正的Rodriguez截面模型确定截面切线刚度,其中混凝土的贡献通过截面边界顶点定义的梯形单元来实现;在此基础上利用传统的平面非线性杆单元导出了标准有限元公式。通过两个算例验证了该模型的可靠性和适用性。     

Semi-analytical finite element method for fictitious crack model in fracture mechanics of concrete

Based on the Hamiltonian governing equations of plane elasticity for sectorial domain, the variable separation and eigenfunction expansion techniques were employed to develop a novel analytical finite element for the fictitious crack model in fracture mechanics of concrete. The new analytical element can be implemented into FEM program systems to solve fictitious crack propagation problems for concrete cracked plates with arbitrary shapes and loads. Numerical results indicate that the method is more efficient and accurate than ordinary finite element method.     

混凝土结构内冲击波应力传感器设计及其行为

为测量混凝土结构内的冲击波应力,研制了PVDF压力传感器;介绍了传感器的原理和设计思想,通过传感器的标定试验,得出传感器与混凝土介质匹配性能稳定,通过修正传感器灵敏度或采用将传感器打入包体标定的方法可减小应力测量误差;最后介绍了传感器在混凝土结构内药包爆炸应力波测试中的应用。     

Homogenised constitutive model coupling damage and debonding for reinforced concrete structures under cyclic solicitations

A new stress resultant constitutive model for reinforced concrete plates under cyclic solicitations is presented. This model is built by the periodic homogenisation approach using the averaging method and couples damage of concrete and periodic debonding between concrete and steel rebar. In one-dimensional situations, we derive a closed-form solution of the local problem useful to verify and set up the plate problem. The one dimensional macroscopic constitutive model involves a limited number of parameters, the sensibility of which is studied. Comparison to experimental results underlines the pertinence of the model by considering internal debonding in order to properly represent the mechanical dissipation occurring during cyclic loadings on reinforced concrete panels.     

Nonlinear damage model for seismic damage assessment of reinforced concrete frame members and structures

A nonlinear damage model based on the combination of deformation and hysteretic energy and its validation with experiments are presented. Also, a combination parameter is defined to consider the mutual effect of deformation and hysteretic energy for different types of components in different loading stages. Four reinforced concrete (RC) columns are simulated and analyzed using the nonlinear damage model. The results indicate that the damage evolution evaluated by the model agrees well with the experimental phenomenon. Furthermore, the seismic damage evolution of a six-story RC frame was analyzed, revealing four typical failure modes according to the interstory drift distribution of the structure; the damage values calculated using the nonlinear damage model agree well with the four typical failure modes.     

Effect of a characteristic length on crack spacing in a reinforced concrete bar under tension

The paper presents quasi-static FE-simulations of the crack formation in a reinforced concrete bar without stirrups subject to tension. The material was modeled with a continuum smeared crack model using an elasto-plastic constitutive law. A linear Rankine criterion with isotropic softening and associated flow rule was adopted in a tensile regime. To ensure the mesh-independency, the softening parameter was enhanced by a characteristic length of micro-structure by means of a non-local theory. Attention was laid to the effect of a different characteristic length of micro-structure and initial bond-slip stiffness on the spacing of localized zones.