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http://dx.doi.org/10.12989/cac.2014.13.2.187

Chloride diffusivity of concrete: probabilistic characteristics at meso-scale  

Pan, Zichao (Department of Bridge Engineering, Tongji University)
Ruan, Xin (Department of Bridge Engineering, Tongji University)
Chen, Airong (Department of Bridge Engineering, Tongji University)
Publication Information
Computers and Concrete / v.13, no.2, 2014 , pp. 187-207 More about this Journal
Abstract
This paper mainly discusses the influence of the aggregate properties including grading, shape, content and distribution on the chloride diffusion coefficient, as well as the initiation time of steel corrosion from a probabilistic point of view. Towards this goal, a simulation method of random aggregate structure (RAS) based on elliptical particles and a procedure of finite element analysis (FEA) at meso-scale are firstly developed to perform the analysis. Next, the chloride diffusion coefficient ratio between concrete and cement paste $D_{app}/D_{cp}$ is chosen as the index to represent the effect of aggregates on the chloride diffusion process. Identification of the random distribution of this index demonstrates that it can be viewed as actually having a normal distribution. After that, the effect of aggregates on $D_{app}/D_{cp}$ is comprehensively studied, showing that the appropriate properties of aggregates should be decided by both of the average and the deviation of $D_{app}/D_{cp}$. Finally, a case study is conducted to demonstrate the application of this mesoscopic method in predicting the initiation time of steel corrosion in reinforced concrete (RC) structures. The mesoscopic probabilistic method developed in this paper can not only provide more reliable evidences on the proper grading and shape of aggregates, but also play an important role in the probability-based design method.
Keywords
concrete structures; durability; mathematical modeling; uncertainty;
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Times Cited By KSCI : 5  (Citation Analysis)
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1 Chen, D. and Mahadevan, S. (2008), "Chloride-induced reinforcement corrosion and concrete cracking simulation", Cement Concrete Compos., 30(3), 227-238.   DOI   ScienceOn
2 Duan, H.et al. (2006), "Effective conductivities of heterogeneous media containing multiple inclusions with various spatial distributions", Phys. Review B, 73(17), 174203.   DOI
3 Garboczi, E. and Bentz, D. (1992), "Computer simulation of the diffusivity of cement-based materials", J. Mater. Sci., 27(8), 2083-2092.   DOI
4 Granqvist, C. and Hunderi, O. (1978), "Conductivity of inhomogeneous materials: effective-medium theory with dipole-dipole interaction", Phys. Review B, 18(4), 1554.   DOI
5 Hafner, S., Eckardt, S. and Konke, C. (2003), "A geometrical inclusion-matrix model for the finite element analysis of concrete at multiple scales. In: Proceedings of the 16th IKM.
6 Hafner, S., Eckardt, S., Luther, T., Konke, C. (2006), "Mesoscale modeling of concrete: geometry and numeric", Comput. Struct., 84(7), 450-461.   DOI   ScienceOn
7 Han, S.H. (2007), "Influence of diffusion coefficient on chloride ion penetration of concrete structure", Constr.Build. Mater., 21(2), 370-378.   DOI   ScienceOn
8 Hobbs, D. (1999), "Aggregate influence on chloride ion diffusion into concrete", Cement Concrete Res., 29(12), 1995-1998.   DOI
9 Jarque, C. and Bera, A. (1987),"A test for normality of observations and regression residuals", International Statistical Review/Revue Internationale de Statistique, 163-172.
10 Kim, S.M. and Abu Al-Rub, R.K. (2011),"Meso-scale computational modeling of the plastic-damage response of cementitious composites", Cement Concrete Res., 41(3), 339-358.   DOI   ScienceOn
11 Bazant, Z.P., Tabbara, M., Kazemi, M., and Pijaudier‐Cabot, G. (1990), "Random particle model for fracture of aggregate or fiber composites", J. Eng. Mech., 116(8), 1686-1705.   DOI
12 Ababneh, A., Benboudjema, F. and Xi, Y. (2003), "Chloride penetration in nonsaturated concrete", J. Mater. Civil Eng., 15(2), 183-191.   DOI   ScienceOn
13 Almusallam, A.A., Al-Gahtani, A.S., Aziz, A.R., Rasheeduzzafar (1996), "Effect of reinforcement corrosion on bond strength", Constr. Build.Mater., 10(2), 123-129.   DOI   ScienceOn
14 Bazant, Z.P. and Planas, J. (1997), Fracture and Size Effect in Concrete and Other Quasi-brittle Materials, CRC PressILlc.
15 Bentz, D.P. (2007), "A virtual rapid chloride permeability test", Cement Concrete Compos., 29(10), 723-731.   DOI
16 Caballero, A., Lopez, C. and Carol, I. (2006), "3D meso-structural analysis of concrete specimens under uniaxial tension", Comput. Meth. Appl. Mech. Eng., 195(52), 7182-7195.   DOI   ScienceOn
17 Cabrera, J. (1996), "Deterioration of concrete due to reinforcement steel corrosion", Cement Concrete Compos., 18(1), 47-59.   DOI   ScienceOn
18 Cairns, J., Plizzari, G.A., Du, Y., Law, D.Y. and Franzoni, C. (2005), "Mechanical properties of corrosion-damaged reinforcement", ACI Mater. J., 102(4), 256-264.
19 Zhang, S.P., Dong, X and Jiang, J.Y. (2013), "Effect of measurement method and cracking on chloride transport in concrete", Comput. Concr., 11(4), 305-316.   DOI
20 Zheng, J., Li, C. and Zhao, L. (2003), "Simulation of two-dimensional aggregate distribution with wall effect", J. Mater. Civil Eng., 15(5), 506-510.   DOI
21 Van Mier, J. and Van Vliet, M. (2003), "Influence of microstructure of concrete on size/scale effects in tensile fracture", Eng. Fracture Mech., 70(16), 2281-2306.   DOI   ScienceOn
22 Zheng, J.J., Zhou, X.Z., Wu, Y.F. and Jin, X.Y. (2012), "A numerical method for the chloride diffusivity in concrete with aggregate shape effect", Constr. Build. Mater., 31, 151-156.   DOI
23 Zheng, J. and Zhou, X. (2008), "Three-phase composite sphere model for the prediction of chloride diffusivity of concrete", J. Mater. Civil Eng., 20(3), 205-211.   DOI
24 Wang, W., Wang, J. and Kim, M. (2001), "An algebraic condition for the separation of two ellipsoids", Computer aided geometric design, 18(6), 531-539.   DOI   ScienceOn
25 Wang, L. and Ueda, T. (2011), "Mesoscale simulation of chloride diffusion in concrete considering the binding capacity and concentration dependence", Computers Concr., 8(3), 125-142.   DOI
26 Wang, L., Wang, X., Mohammad, L. and Abadie, C. (2005), "Unified method to quantify aggregate shape angularity and texture using fourier analysis", J. Mater. In civil Eng., 17(5), 498-504.   DOI
27 Wang, X.Y., Park, K.B. and Lee, H.S. (2012), "Modeling of chloride diffusion in a hydrating concrete incorporating silica fume", Comput. Concr., 10(5), 523-539.   DOI   ScienceOn
28 Wang, Z., Kwan, A. and Chan, H. (1999), "Mesoscopic study of concrete I: generation of random aggregate structure and finite element mesh", Comput. Struct., 70(5), 533-544.   DOI   ScienceOn
29 Xi, Y. and Bazant, Z.P. (1999), "Modeling chloride penetration in saturated concrete", J. Mater. Civil Eng., 11(1), 58-65.   DOI   ScienceOn
30 Xu, Z., Hao, H. and Li, H. (2012), "Mesoscale modelling of fiber reinforced concrete material under compressive impact loading", Constr. Build. Mater., 26(1), 274-288.   DOI
31 Yang, C. (2005), "Effect of the percolated interfacial transition zone on the chloride migration coefficient of cement-based materials", Mater. Chem. Phys., 91(2), 538-544.   DOI
32 Yang, C. and Su, J. (2002), "Approximate migration coefficient of interfacial transition zone and the effect of aggregate content on the migration coefficient of mortar", Cement Concrete Res., 32(10), 1559-1565.   DOI   ScienceOn
33 Yuan, Q., Shi, C., Schutterc, G.D., Audenaertc, K. and Denga, D. (2009), "Chloride binding of cement-based materials subjected to external chloride environment-a review", Construct. Build. Mater., 23(1), 1-13.   DOI
34 Mohammed, T. and Hamada, H. (2003),"Relationship between free chloride and total chloride contents in concrete",Cement Concr. Res.33(9), 1487-1490.   DOI   ScienceOn
35 Leite, J., Slowik, V. and Mihashi, H. (2004),"Computer simulation of fracture processes of concrete using mesolevel models of lattice structures", Cement Concrete Res., 34(6), 1025-1033.   DOI   ScienceOn
36 Li, L.Y., Xia, J. and Lin, S.S. (2012),"A multi-phase model for predicting the effective diffusion coefficient of chlorides in concrete", Constr. Build. Mater., 26(1), 295-301.   DOI   ScienceOn
37 Lilliefors, H. (1967), "On the Kolmogorov-Smirnov test for normality with mean and variance unknown", J. the American Statistical Assoc.,62(318), 399-402.   DOI   ScienceOn
38 Ruan, X. and Pan, Z.C. (2012), "Mesoscopic simulation method of concrete carbonation process", Struct. Infrastruct. Eng., 8(2), 99-110.   DOI   ScienceOn
39 Oh, B.H. and Jang, S.Y. (2004),"Prediction of diffusivity of concrete based on simple analytic equations", Cement Concrete Res., 34(3), 463-480.   DOI
40 Ollivier, J., Maso, J. and Bourdette, B. (1995),"Interfacial transition zone in concrete", Advanced Cement Based Mater., 2(1), 30-38.   DOI
41 Saetta, A.V. (2005), "Deterioration of reinforced concrete structures due to chemical-physical phenomena: model-based simulation", J. Mater. Civil Eng., 17(3), 313-319.   DOI   ScienceOn
42 Scrivener, K.L. and Nemati, K.M. (1996), "The percolation of pore space in the cement paste/aggregate interfacial zone of concrete", Cement Concrete Res., 26(1), 35-40.   DOI   ScienceOn
43 Shafei, B., Alipour, A. and Shinozuka, M. (2011), "Prediction of corrosion initiation in reinforced concrete members subjected to environmental stressors: A finite-element framework", Cement Concrete Res., 42(2), 365-376.
44 Van Mien, T., Stitmannaithum, B. and Nawa, T. (2011), "Prediction of chloride diffusion coefficient of concrete under flexural cyclic load", Comput. Concr., 8(3), 343-355.   DOI   ScienceOn
45 Care, S. (2003), "Influence of aggregates on chloride diffusion coefficient into mortar", Cement Concr. Research, 33(7), 1021-1028.   DOI
46 CECS220 (2007), Standard for durability assessment of concrete structures (CECS220:2007), China Construction Press.
47 Billingsley, P. (2012), "Probability and measure", John Wiley & Sons.
48 Zeng, Y. (2007), "Modeling of chloride diffusion in hetero-structured concretes by finite element method", Cement Concrete Compos., 29(7), 559-565.   DOI   ScienceOn
49 Halamickova, P. Detwiler, R.J., Bentz, D.P. and Garboczi, E.J. (1995), "Water permeability and chloride ion diffusion in Portland cement mortars: relationship to sand content and critical pore diameter", Cement Concrete Res., 25(4), 790-802.   DOI   ScienceOn
50 Care, S. and Herve, E. (2004), "Application of a n-phase model to the diffusion coefficient of chloride in mortar", Transport in porous media, 56(2), 119-135.   DOI
51 Zhang, S.P. and Zhao, B.H. (2012), "Research on chloride ion diffusivity of concrete subjected to $CO_{2}$ environment", Comput. Concr., 10(3), 219-229.   DOI   ScienceOn
52 Du, Y., Clark, L. and Chan, A. (2005), "Residual capacity of corroded reinforcing bars", Mag. Concrete Res., 57(3), 135-148.   DOI   ScienceOn