Boundary Element Method for Time-dependent Chloride Diffusion and the Chloride Distribution in Concrete

The process of chloride diffusion in concrete is time-dependent.The boundary element method (BEM) with a time-dependent diffusion coefficient is presented for chloride diffusion in concrete based on the suitable transformation of variables.The fundamental solution of the partial differential equation for time-dependent chloride diffusion in concrete is developed,and the compensation length of the diffusion field is defined as well as the compensation coefficient.The scheme of BEM with a time-dependent diffusion coefficient is developed.Two examples are given to demonstrate the accuracy and efficiency of the presented method and the rationality and the importance of the compensation length for the method.     

粘贴加固混凝土氯离子扩散的理论模型和数值模拟

基于物质非稳态扩散理论,采用现有研究对Fick第二定律的修正方法,并将粘贴加固考虑为对氯离子扩散方程边界条件的调整,提出可用于粘贴加固混凝土的氯离子扩散理论模型。利用ABAQUS、MATLAB PDE tool、MATLAB自编程3种方法均可对粘贴加固混凝土梁的氯离子扩散过程进行数值模拟。对比未加固与加固构件的氯离子扩散规律,发现粘贴加固可降低钢筋表面的氯离子浓度值,延缓氯离子浓度到达临界锈蚀浓度的时间,增加材料使用寿命,并且加固时间越早,增加寿命越长。     

Influence of Transverse Flexural Crack on Chloride Penetration in Concrete

The mechanism for chloride penetration in cracked concrete and its major impact factors were analyzed. As a result, a revised chloride diffusion model based on Fick's Law was built by dual porous medium model. Then several cracked reinforced concrete beams self-anchored with sustained flexural loads were immersed in the 5% NaCl solution with the condition of dry-wet cycles. After 15 times of dry-wet cycles, the rapid chloride testing (RCT) was used for the determination of chloride ion content of the powder at each cracked sections. The test results show that: 1) with the condition of dry-wet cycles, the chloride content will occur a peak in the surface 20mm concrete, so the depth for surface convection zone can be assumed to be 15~20 mm; 2) when the crack width is less than 0.3mm, the equivalent chloride diffusion coefficient increases steadily, which agrees well with model's prediction; when the crack width is larger than 0.3mm, the equivalent chloride diffusion coefficient augments rapidly and influence of convection on chloride penetration becomes more significant; 3) the deterioration factor for equivalent chloride diffusion coefficient in flexural cracked concrete is directly correlative with crack width, which can be expressed by second order power function or separate function.     

带裂缝混凝土氯离子扩散作用试验研究及数值模拟

为了准确评估带裂缝工作混凝土结构的耐久性能,针对氯离子在带裂缝混凝土中的扩散过程进行研究。提出了无损制备裂缝的方法,可高效易行地在混凝土侧面及内部产生裂缝。对带裂缝的水泥砂浆试件进行氯盐溶液浸泡试验,深入研究了单缝和双缝试件中氯离子的扩散作用,修正了氯离子的扩散系数,并对带裂缝混凝土的氯离子扩散过程进行了数值模拟。研究结果表明：氯离子会沿裂缝发展方向及垂直于裂缝发展方向扩散,随着水灰比的减小,砂浆试件的抗氯离子扩散性能明显提高,在一定范围内,当裂缝间距增大,双缝间的氯离子扩散交互影响作用明显减小,ANSYS软件的模拟结果与试验数据吻合良好。     

Microcracking and Chloride Penetration of Concrete under Uniaxial Compression

A non-destructive method of evaluation of specific crack area was used to characterise microcracking in concrete prisms during uniaxial compression loading and unloading. Chloride profiles were also measured after the same concretes were exposed to chloride environment. The relation among microcracking, stress-strength ratio and chloride penetration of concrete were analysed based on the experimental results. Under compressive load, the apparent chloride diffusion coefficient decreases until about one third of the ultimate load. Further increase of compressive load improves the chloride diffusion coefficient again. There is a close link between microcracking and stress-strength ratio. The index of specific crack area can be used to indicate the microcracking and study chloride transport behaviour into concrete under the influence of microcracking.     

Study on Influence of Mineral Admixture on Chloride Ion Penetration and Diffusion in Concrete

In this paper, the influences of different kinds and different amount of mineral admixture to Cl-penetration and diffusion in concrete are studied. The results of experiment show that separate addition of mineral admixture (ground fly ash, slag fines, silica fume) into concrete can improve its resistance to chloride ion penetration and diffusion. Furthermore,the effect of silica fume is the best, fly ash second, and then follows slag fines. Mechanism analysis shows that the pozzolanic effect of mineral admixture improves the interface between the cement and aggregate in concrete, reduces the total porosity, makes pores more smaller, on the other hand it increases the Cl-consolidation capability of concrete with low alkaline C-S-H gel produced. So the resistance to chloride ion penetration of concrete is improved.     

Mechanical and Chloride Diffusion Behavior of Kaolinite Clay Modified Cement-Based Material

The effects of kaolinite clay on the microstructure (pore structure, internal structure) and mechanical properties (workability, early-age and long-term flexural strength, chloride diffusion property) of the cementitious composites were tested. It is shown that the addition of clay improves the micro-pore structure in the cement paste and limits the introduction of chloride ions. As a result, it is suggested that the kaolinite clay would act as both filler and accelerator of cement hydration. Compared with the control specimen, the flexural strength of cement paste with 1% kaolinite clay increased by 30.41%, 39.04%, 36.27% and 38.32% at 1, 3, 7 and 90 curing ages, respectively. The 28-day flexural strength increased slightly. It is observed that the clay modified cement mortar has lower chloride diffusion coefficient values compared to the plain mortar, and the 28-day DCl of cement mortar decreased by 53.03% with 5% clay. Compared with the controlled sample, the increase in compressive strength and the reduction in chloride diffusion coefficient of the concrete with 5% clay addition is 28.4% and 18.87% respectively. The chloride diffusion coefficient of concrete decreases with the amount of clay addition exponentially. The 28-day compressive strength increases linearly with the chloride diffusion coefficient of the concrete.     

A Modified Chloride Ion Diffusion Model in Concrete

Based on the analysis of influencing factors chloride ion diffusion in concrete and the simplified model induced by Fick's second law, a chloride ion diffusion model was established, in which , the influences of water-cement ratio, humidity, time, temperature, chloride ion binding capacity of concrete and freeze-thaw cycle are taken into consideration. The Validity of the new model is verified through the comparison of results between the proposed model and the existing analytic /numerical model. Compared with the analytic model, the proposed model can consider the seasonal change of humidity and temperature,and the time-variant effect of freeze-thaw cycle.Compared with the numerical model, the computational efficiency of the proposed model is higher.     

BEM for Simulation of 2D Elastic Body with Randomly Distributed Identical Circular Inclusions

Based on the 2D BEM software THBEM2 developed by the authors' group, which can be applied to simulate the elastic body with randomly distributed circular holes. A scheme of BEM for the simulation of elastic bodies with randomly distributed identical circular inclusions is presented. The workload of the computation is nearly the same as for the corresponding case of circular holes, the numerical examples given show that the scheme is applicable and effective.     

Concrete with a Crack Treated by Silane Soakage

If a crack appears in marine or concrete structures due to chloride corrosion, it will be a convenient channel for the chloride to penetrate into the concrete and easily corrode the steel bars and damage the concrete. A concrete specimen with a 0.2mm wide crack was prepared. After the specimen was soaked in a silane solution, emulsion and gel, a chloride ion corrosion test was carried out. The analysis of two dimensional chloride content shows that the silane soakage treatment of cracked concrete seals the crack and prevents further corrosion.     

3D BE Analysis on Stress Intensity Factor of a Fatigue Crack in a Welded T-joint

In this paper, based on multi region boundary element method (BEM), a general procedure to calculate stress intensity factors(SIF) of a 3D mixed mode fatigue surface crack is detailed. A BEM model for a welded T joint is constructed referring to the test specimen. The crack corner points are indirectly estimated to circumvent the treatment of the different crack tip singularity at the corner regions. Numerical results from the welded T joint show that this procedure is reliable.     

Progress of Intelligent Concrete Repair Materials

Intelligent concrete patching material can discern little concrete crackles or other structure defects and auto-excited mending material,to repair them.Thus the strength and service life of the concrete can be recovered or improved.The development and application prospect of intellectual patching material is very good for the intelligent mending way.In this paper,the research state of this kind of patching material in recent years is introduced.Especially the mending mechanism,the study and application state of cementitious capillary crystalline patching material and intellectual self-healing concrete system are discussed in detail.     

Diffusion Behavior of Chloride Ions in Concrete Pipe Piles

Concrete pipe piles, whose internal surface is usually closed and external one is exposed to chloride environment, are widely used in marine environment. Based on Fick second law and the boundary condition of pipe pile, the analytical solution to chloride diffusion equation was deduced with the method of separation of variables. The solution comprises two parts: a stationary solution consisting of Bessel functions, and a transient solution. This is different from the traditional analytical solution that is based on semi-infinite boundary condition. Applying this result to a typical PHC pipe pile, the diffusion of chloride concentration was analyzed. Furthermore, the effects of the ratio of outer radius and inner radius, diffusion coefficient and protective concrete cover thickness on diffusion of chloride concentration were also discussed. When the ratio of outer radius and inner radius equals 1.5, the decay rate of secondary segment of transient solution is 4 times larger than that of the primary part. This example provides a computational basis for the corrosion of steel bar and some reference for durability design of pipe piles as well.     

The Setting of Acoustic Emission Detecting Parameters in Concrete Structure

In order to solve the problem that the choice of acoustic emission (AE) parameters in concrete detection are determined only by experience, several tests were conducted. Through lead-breaking and stimulant loading tests, the reasonable value of threshold at which noise can be efficiently insulated was obtained. Through lead-breaking tests, time parameters (PDT, HDT, HLT) which fit concrete samples were obtained. The velocity and attenuation of AE signals in concrete also were measured through lead-breaking tests. This method of ascertaining detection parameters by testing is practical for AE detection in concrete structures.     

Influence of Fine Recycled Aggregate on Physical and Mechanical Properties of Concrete

Based on a series of recycle process, waste concrete can be made into fine recycled aggregate which can be used completely or partly to compound concrete as a substitute for natural sand. But the special properties of fine recycled aggregate make the performance of concrete with fine recycled aggregate different from normal concrete. Characteristics of fine recycled aggregate and its influence on physical and mechanical properties of concrete are studied. On this basis, the influence of fine recycled aggregate on gas permeation properties, chloride permeability, and carbonation resistance of concrete are also studied. It is found that fine recycled aggregate produces a lot of defects in crushing preparation. And the compressive strength, the chloride permeability and the carbonation resistance of the concrete with fine recycled aggregate as substitution show difference from that of normal concrete.     

Low-cyclic Fatigue Behavior of Reinforced Concrete Column Subjected to Symmetric Displacement Cycling

Under seismic action, the damage of critical regions in ductile reinforced concrete structures can be regarded as combined results of cumulative damage caused by positive/ negative displacements with different displacement levels after yielding. On the basis of symmetric low-cyclic fatigue experiments on eight half-scale RC columns under different displacement levels, the development of cumulative damage and relationships between low-cyclic fatigue life and symmetric displacement amplitude are investigated. It is hoped that on this ground, more rational damage criteria for RC structures can be put forward.     

内框架箱型混凝土结构施工活荷载实测分析

施工期早龄期钢筋混凝土结构与模板支撑系统组成临时承载体系为时变结构,其承担的荷载主要有新浇筑混凝土自重与包括施工人员和设备荷载以及混凝土浇筑时产生的冲击和振捣荷载在内的施工活荷载。将多层连续施工时变结构体系模拟成一组弹性支撑连续板,根据该模型分析了施工期现浇钢筋混凝土结构的受力特性。根据现场实测数据,以构件有效承载面积为统计对象,计算了混凝土施工荷载的统计参量,并参考相关研究成果,以95%的置信度对施工期活荷载标准值进行反演,建议施工活荷载标准值取2.5 kN/m 2。     

Boundary Element Methods with Overlapping Domain Decomposition for Parabolic Problem

Boundary element method is a numerical method for solving partial differential equations. There are several formulations of boundary element method (BEM) applied to solve a parabolic differential equation.The approach,which employs time- dependent fundamental solution,allows longer time steps in time integration than other approaches,and this can cut down on time for computer implementation with high precision.Domain decomposition method,which decompose the domain that a given problem is to be solved into subdomains,has the advantages of reducing the large problem into smaller ones and reducing the complex problem into simpler ones,and allows parallel computing.An overlapping domain decomposition method is applied combining a boundary element formulation with time-dependent fundamental solution to solve a diffusion equation. Firstly, by domain decomposition, the problem divided into two problems on subdomains, and then the initial-Boundary problems are solved by boundry element method on each subdomain.Some numerical examples are presented to illustrate feasibility and efficiency of the method. The numerical experiments show that the convergence rate of the method is dependent with the overlapping degree of the subdomains.     

Relationship between porosity and chloride diffusivity in cement-based composite materials

For investigating the effect of porosity in cement-based composite materials on diffusion coefficient of chloride ion, a series of mortar specimens with different water-cement ratios, different volume fractions and different diameters and graduation of aggregates are cast, and then chloride diffusivity of mortar specimens are measured by steady-state electric acceleration method and pore structure parameters of corresponding samples are obtained by mercury intrusion porosimetry. At the same time, the pore size distributions are visualized by X-ray micro-focus computer tomography. The results show that porous interfacial transition zones between aggregate and bulk cement paste significantly change the distribution of pore structure in hardened cement paste, and the smaller water-cement ratio is, the more significant the effect of interfacial transition zones on pore structures of hardened cement paste is. A good correlation between the total porosity, capillary porosity and the diffusion coefficient of chloride ion in cement-based composite materials has been determined and the continuous pore diameter is linearly related to the diffusion coefficient of those. Furthermore, the larger the continuous pore diameter is, the larger the value of chloride diffusivity is.     

Deterioration Model and Reliability Analysis on Concrete Material at Stress States

According to the analysis of existing test data, the stress influence coefficient and water-cement ratio influence coefficient in the existing concrete carbonation depth forecasting models are modified and improved. Based on the reliability analysis, the rule of deterioration life is presented. The analysis shows that the rate of carbonation of concrete is accelerated or restricted at the status of tensile or compressive stress, respectively. Especially with the increase of the level of tensile stress, the carbonation rate of concrete will become faster and faster. According to the results of reliability analysis, the relation between probability and reliability of the concrete deterioration is one-to-one corresponsive, meanwhile, the concrete cover thicknesses and stress levels have great influences on the durability life of concrete structures. And with the same reliability, the time of deterioration of concrete decreases with a higher stress levels and a less cover thickness.