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http://dx.doi.org/10.12989/cac.2013.11.3.201

Coupled diffusion of multi-component chemicals in non-saturated concrete  

Damrongwiriyanupap, Nattapong (University of Phayao)
Li, Linyuan (University of New Hampshire)
Xi, Yunping (University of Colorado at Boulder)
Publication Information
Computers and Concrete / v.11, no.3, 2013 , pp. 201-222 More about this Journal
Abstract
A comprehensive simulation model for the transport process of fully coupled moisture and multi-species in non-saturated concrete structures is proposed. The governing equations of moisture and ion diffusion are formulated based on Fick's law and the Nernst-Planck equation, respectively. The governing equations are modified by explicitly including the coupling terms corresponding to the coupled mechanisms. The ionic interaction-induced electrostatic potential is described by electroneutrality condition. The model takes into account the two-way coupled effect of moisture diffusion and ion transport in concrete. The coupling parameters are evaluated based on the available experimental data and incorporated in the governing equations. Differing from previous researches, the material parameters related to moisture diffusion and ion transport in concrete are considered not to be constant numbers and characterized by the material models that account for the concrete mix design parameters and age of concrete. Then, the material models are included in the numerical analysis and the governing equations are solved by using finite element method. The numerical results obtained from the present model agree very well with available test data. Thus, the model can predict satisfactorily the ingress of deicing salts into non-saturated concrete.
Keywords
deicing salts; chloride; concrete; coupled effect; Nernst-Planck equation;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Ababneh, A. and Xi, Y. (2002), "An experimental study on the effect of chloride penetration on moisture diffusion in concrete", Mater. Struct., 35(10), 659-664.   DOI
2 Ababneh, A., Benboudjema, F. and Xi, Y. (2003), "Chloride penetration in nonsaturated concrete", J. Mater. Civil Eng.-ASCE, 15(2), 183-191.   DOI   ScienceOn
3 Abarr, L. (2005), "The effect of moisture diffusion on chloride penetration", M.S. Thesis, the University of Colorado at Boulder.
4 Andrade, C. and Whiting, D. (1996), "A comparison of chloride ion diffusion coefficients derived from concentration gradients and non-steady state accelerated ionic migration", Mater. Struct., 29(8), 476-484.   DOI
5 Bazant, Z.P. and Najjar, L.J. (1972), "Nonlinear water diffusion of nonsaturated concrete", Mater. Struct., 5(1), 3-20.
6 Boulfiza, M., Sakai, K., Banthia, N. and Yoshida, H. (2003), "Prediction of chloride ions ingress in uncracked and cracked concrete", ACI Mater. J., 100(1), 38-48.
7 Christensen, R.M. (1979), Mechanics of composite materials, Wiley Interscience, New York.
8 Collepardi, M., Marciall, A. and Turriziani, R. (1972), "Penetration of chloride ions in cement pastes and concrete", J. Am. Ceram. Soc., 55(10), 534-535.   DOI
9 Damrongwiriyanupap, N., Li, L.Y. and Xi, Y. (2011), "Coupled diffusion of chloride and other ions in saturated concrete", Front. Arch. Civil Eng. China, 5(3), 267-277.   DOI
10 De Vera, G., Climent, M.A., Lopez, J.F., Viqueira, E. and Andrade, C. (2002), "Transport and binding of chlorides through non-saturated concrete after an initial limited chloride supply", RILEM Proceedings, PRO 38, Third International RILEM Workshop on Testing and Modelling the Chloride Ingress into Concrete, 205-218.
11 Marchand, J. (2001), "Modeling the behavior of unsaturated cement systems exposed to aggressive chemical environments", Mater. Struct., 34(238), 195-200.   DOI
12 Martys, N.S., Torquato, S. and Bentz, D.P. (1994), "Universal scaling of fluid permeability for sphere packings", Phys. Rev. E, 50(1), 403-408.
13 Miller, B.D. and Miltenberger, M.A. (2004), "Chloride ingress into concrete in saturated and cyclic wetting and drying environments", ACI SP-221, Eighth CANMET/ACI International Conference on Fly Ash, Silica Fume, Slag, and Natural Pozzolans in Concrete, 471-482.
14 Nguyen, T.Q., Baroghel-Bouny, V. and Dangla, P. (2006), "Prediction of chloride ingress into saturated concrete on the basis of multi-species model by numerical calculations", Comput. Concrete, 3(6), 401-422.   DOI   ScienceOn
15 Nielsen, E. and Geiker, M. (2003), "Chloride diffusion in partially saturated cementitious material", Cement Concrete Res., 33(1), 133-138.   DOI   ScienceOn
16 Nilsson, L.O. (2000), "A numerical model for combined diffusion and convection of chloride in nonsaturated concrete", RILEM Proceedings, PRO 19, Second International RILEM Workshop on Testing and Modelling the Chloride Ingress into Concrete, 261-275.
17 Page, C.L., Short, N.R. and El Tarras, A. (1981), "Diffusion of chloride ions in hardened cement paste", Cement Concrete Res., 11(3), 395-406.   DOI   ScienceOn
18 Saetta, A.V., Scotta, R.V. and Vitaliani, R.V. (1993), "Analysis of chloride diffusion into partially saturated concrete", ACI Mater. J., 90(5), 441-451.
19 Samson, E. and Marchand, J. (2007), "Modeling the transport of ions in unsaturated cement-based materials", Comput. Struct., 85(23-24), 1740-1756.   DOI   ScienceOn
20 Tang, L. and Nilsson, L.O. (1993), "Chloride binding capacity and binding isotherms of OPC pastes and mortars", Cement Concrete Res., 23(2), 247-253.   DOI   ScienceOn
21 Wang, Y., Li, L.Y. and Page, C.L. (2005), "Modeling of chloride ingress into concrete from a saline environment", Build. Environ., 40(12), 1573-1582.   DOI   ScienceOn
22 Xi, Y. (1995a), "A model for moisture capacities of composite materials, Part I: Formulation", Comput. Mater. Sci., 4(1), 65-77.   DOI   ScienceOn
23 Xi, Y. (1995b), "A model for moisture capacities of composite materials, Part II: Application to concrete", Comput. Mater. Sci., 4, 78-92.   DOI   ScienceOn
24 Xi, Y., Willam, K. and Frangopol, D. (2000), "Multiscale modeling of interactive diffusion process in concrete", J. Mater. Civil Eng.-ASCE, 126(3), 258-265.
25 Xi, Y. and Bazant, Z. (1999), "Modeling chloride penetration in saturated concrete", J. Mater. Civil Eng.-ASCE, 11(1), 58-65.   DOI   ScienceOn
26 Xi, Y., Bazant, Z.P. and Jennings, H.M. (1994a), "Moisture diffusion in cementitious materials: Adsorption isotherm", J. Adv. Cement-Based Mater., 1(6), 248-257.   DOI   ScienceOn
27 Xi, Y., Bazant, Z.P. and Jennings, H.M. (1994b), "Moisture diffusion in cementitious materials: Moisture capacity and diffusivity", J. Adv. Cement-Based Mater., 1(6), 258-266.