Technical Papers
Jul 11, 2016

Random-Walk Algorithm for Chloride Diffusivity of Concrete with Aggregate Shape Effect

Publication: Journal of Materials in Civil Engineering
Volume 28, Issue 12

Abstract

Owing to its importance to the assessment and design of reinforced concrete structures, it is essential to determine the chloride diffusivity of concrete. This paper develops a random walk algorithm for the chloride diffusivity of concrete with the aggregate shape effect. In this algorithm, an equivalent aggregate model is established by coating each aggregate particle with an interfacial transition zone (ITZ) layer and the equivalent ITZ thickness is estimated through stereological analysis. The chloride diffusivity of each equivalent aggregate is then formulated by an effective medium approximation. Finally, the random walk algorithm is adopted to compute the chloride diffusivity of concrete. After the validity of the simulation algorithm is verified with two sets of experimental data, the effects of the aggregate content, the aggregate aspect ratio, and the ITZ thickness on the chloride diffusivity of concrete are evaluated in a quantitative manner. The paper concludes that the random walk algorithm can estimate the chloride diffusivity of concrete with reasonable accuracy.

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Acknowledgments

The financial support from the National Natural Science Foundation (Grant Nos. 51379188, 51378398, and 51178356) and Natural Science Foundation of Zhejiang Province (Grant No. LY15E090006) of the People’s Republic of China is greatly acknowledged.

References

Andrews, G. E., Askey, R., and Roy, R. (1999). Special functions, Cambridge University Press, Cambridge, U.K.
Asbridge, A. H., Chadbourn, G. A., and Page, C. L. (2001). “Effects of metakaolin and the interfacial transition zone on the diffusion of chloride ions through cement mortars.” Cem. Concr. Res., 31(11), 1567–1572.
Buenfeld, N. R., Glass, G. K., Hassanein, A. M., and Zhang, J. Z. (1998). “Chloride transport in concrete subjected to electric field.” J. Mater. Civ. Eng., 220–228.
Cady, P. D., and Weyers, R. E. (1984). “Deterioration rates of concrete bridge decks.” J. Transp. Eng., 34–44.
Cao, C., and Cheung, M. M. S. (2014). “Non-uniform rust expansion for chloride-induced pitting corrosion in RC structures.” Constr. Build. Mater., 51, 75–81.
Caré, S. (2003). “Influence of aggregates on chloride diffusion coefficient into mortar.” Cem. Concr. Res., 33(7), 1021–1028.
Caré, S., and Hervé, E. (2004). “Application of a n-phase model to the diffusion coefficient of chloride in mortar.” Transp. Porous Media, 56(2), 119–135.
Conciatori, D., Grégoire, E., Samson, E., Marchand, J., and Chouinard, L. (2014). “Statistical analysis of concrete transport properties.” Mater. Struct., 47(1-2), 89–103.
Delagrave, A., Bigas, J. P., Ollivier, J. P., Marchand, J., and Pigeon, M. (1997). “Influence of the interfacial zone on the chloride diffusivity of mortars.” Adv. Cem. Mater., 5(3-4), 86–92.
Du, X. L., Jin, L., and Ma, G. W. (2014). “A meso-scale numerical method for the simulation of chloride diffusivity in concrete.” Finite Elem. Anal. Des., 85, 87–100.
Duan, H. L., Karihaloo, B. L., Wang, J., and Yi, X. (2006). “Effective conductivities of heterogeneous media containing multiple inclusions with various spatial distributions.” Phys. Rev. B, 73(17), 1743203.
FIB (Fédération International du Béton). (2006). Model code for service life design, Bulletin 34, Lausanne, Switzerland.
Garboczi, E. J., and Bentz, D. P. (1997). “Analytical formulas for interfacial transition zone properties.” Adv. Cem. Mater., 6(3-4), 99–108.
Garboczi, E. J., Schwartz, L. M., and Bentz, D. P. (1995). “Modeling the influence of the interfacial zone on the DC electrical conductivity of mortar.” Adv. Cem. Mater., 2(5), 169–181.
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.” Cem. Concr. Res., 25(4), 790–802.
Huang, K. Z., Xue, M. D., and Lu, M. W. (2003). Tensor analysis, Tsinghua University Press, Beijing (in Chinese).
Kim, I. C., and Torquato, S. (1990). “Determination of the effective conductivity of heterogeneous media by Brownian motion simulation.” J. Appl. Phys., 68(8), 3892–3903.
Kim, I. C., and Torquato, S. (1991). “Effective conductivity of suspensions of hard spheres by Brownian motion simulation.” J. Appl. Phys., 69(4), 2280–2289.
Leng, F. G., Feng, N. Q., and Lu, X. Y. (2000). “An experimental study on the properties of resistance to diffusion of chloride ions of fly ash and blast furnace slag concrete.” Cem. Concr. Res., 30(6), 989–992.
Li, L. Y., Easterbrook, D., Xia, J., and Jin, W. L. (2015). “Numerical simulation of chloride penetration in concrete in rapid chloride migration tests.” Cem. Concr. Comp., 63, 113–121.
Liam, K. C., Roy, S. K., and Northwood, D. O. (1992). “Chloride ingress measurements and corrosion potential mapping study of a 24-year-old reinforced concrete jetty structure in a tropical marine environment.” Mag. Concr. Res., 44(160), 205–215.
Liu, Q. F., Easterbrook, D., Yang, J., and Li, L. Y. (2015). “A three-phase, multi-component ionic transport model for simulation of chloride penetration in concrete.” Eng. Struct., 86, 122–133.
Lu, X. Y. (1997). “Application of the Nernst-Einstein equation to concrete.” Cem. Concr. Res., 27(2), 293–302.
Ponte Castañeda, P., and Willis, J. R. (1995). “The effect of spatial distribution on the effective behavior of composite materials and cracked media.” J. Mech. Phys. Solids, 43(12), 1919–1951.
Šavija, B., Pacheco, J., and Schlangen, E. (2013). “Lattice modeling of chloride diffusion in sound and cracked concrete.” Cem. Concr. Comp., 42, 30–40.
Scrivener, K. L., and Nemati, K. M. (1996). “The percolation of pore space in the cement paste/aggregate interfacial zone of concrete.” Cem. Concr. Res., 26(1), 35–40.
Sun, G. W., Zhang, Y. S., Sun, W., Liu, Z. Y., and Wang, C. H. (2011). “Multi-scale prediction of the effective chloride diffusion coefficient of concrete.” Constr. Build. Mater., 25(10), 3820–3831.
Torquato, S. (2001). Random heterogenerous materials: Microstructure and macroscopic properties, Springer, New York.
Wang, L. B., Wang, X. R., Mohammad, L., and Abadie, C. (2005). “Unified method to quantify aggregate shape angularity and texture using Fourier analysis.” J. Mater. Civ. Eng., 498–504.
Yang, C. C., and Su, J. K. (2002). “Approximate migration coefficient of interfacial transition zone and the effect of the aggregate content on the migration coefficient of mortar.” Cem. Concr. Res., 32(10), 1559–1565.
Zheng, J. J. (2000). Mesostructure of concrete: Stereological analysis and some mechanical implications, Delft University Press, Delft, Netherlands.
Zheng, J. J., Li, C. Q., and Zhao, L. Y. (2003). “Simulation of two-dimensional aggregate distribution with wall effect.” J. Mater. Civ. Eng., 506–510.
Zheng, J. J., Li, C. Q., and Zhou, X. Z. (2005). “Thickness of interfacial transition zone and cement content profiles around aggregates.” Mag. Concr. Res,, 57(7), 397–406.
Zheng, J. J., Wong, H. S., and Buenfeld, N. R. (2009a). “Assessing the influence of ITZ on the steady-state chloride diffusivity of concrete using a numerical model.” Cem. Concr. Res., 39(9), 805–813.
Zheng, J. J., Xiong, F. F., Wu, Z. M., and Jin, W. L. (2009b). “A numerical algorithm for the ITZ area fraction in concrete with elliptical aggregate particles.” Mag. Concr. Res., 61(2), 109–117.
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(6), 151–156.
Zheng, J. J., Zhou, X. Z., Wu, Z. M., and Jin, X. Y. (2011). “Numerical method for predicting Young’s modulus of concrete with aggregate shape effect.” J. Mater. Civ. Eng., 1609–1615.

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Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 28Issue 12December 2016

History

Received: Nov 15, 2015
Accepted: May 4, 2016
Published online: Jul 11, 2016
Published in print: Dec 1, 2016
Discussion open until: Dec 11, 2016

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Authors

Affiliations

Jianjun Zheng [email protected]
Professor, School of Civil Engineering and Architecture, Zhejiang Univ. of Technology, Hangzhou 310014, P.R. China (corresponding author). E-mail: [email protected]
Congyan Zhang
Ph.D. Student, School of Civil Engineering and Architecture, Zhejiang Univ. of Technology, Hangzhou 310014, P.R. China.
Yufei Wu
Professor, School of Civil, Environmental and Chemical Engineering, Royal Melbourne Institute of Technology, Melbourne 3001, Australia.
Linzhu Sun
Professor, School of Civil Engineering and Architecture, Wenzhou Univ., Wenzhou 325035, P.R. China.

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