DOI QR코드

DOI QR Code

Modeling of ion diffusion coefficient in saturated concrete

  • Zuo, Xiao-Bao (Jiangsu Key Laboratory of Construction Materials, Southeast University) ;
  • Sun, Wei (Jiangsu Key Laboratory of Construction Materials, Southeast University) ;
  • Yu, Cheng (Jiangsu Key Laboratory of Construction Materials, Southeast University) ;
  • Wan, Xu-Rong (Department of Civil Engineering, Nanjing University Of Science & Technology)
  • Received : 2009.12.24
  • Accepted : 2010.03.17
  • Published : 2010.10.25

Abstract

This paper utilizes the modified Davis model and the mode coupling theory, as parts of the electrolyte solution theory, to investigate the diffusivity of the ion in concrete. Firstly, a computational model of the ion diffusion coefficient, which is associated with ion species, pore solution concentration, concrete mix parameters including water-cement ratio and cement volume fraction, and microstructure parameters such as the porosity and tortuosity, is proposed in the saturated concrete. Secondly, the experiments, on which the chloride diffusion coefficient is measured by the rapid chloride penetration test, have been carried out to investigate the validity of the proposed model. The results indicate that the chloride diffusion coefficient obtained by the proposed model is in agreement with the experimental result. Finally, numerical simulation has been completed to investigate the effects of the porosity, tortuosity, water-cement ratio, cement volume fraction and ion concentration in the pore solution on the ion diffusion coefficients. The results show that the ion diffusion coefficient in concrete increases with the porosity, water-cement ratio and cement volume fraction, while we see a decrease with the increasing of tortuosity. Meanwhile, the ion concentration produces more obvious effects on the diffusivity itself, but has almost no effects on the other ions.

Keywords

References

  1. Ababneh, A., Benboudjema, F., and Xi, Y.P. (2003), "Chloride penetration in nonsaturated concrete", J. Mater. Civil Eng., 15(2), 183-191. https://doi.org/10.1061/(ASCE)0899-1561(2003)15:2(183)
  2. Adamson, A.W. (1990), Physical Chemistry of Surfaces, 5th Edition, John Wiley & Sons.
  3. Andrade, C. (1993), "Calculation of chloride diffusion coefficients in concrete from ionic migration measurement", Cement Concrete Res., 23(3), 724-742. https://doi.org/10.1016/0008-8846(93)90023-3
  4. ASTM C1202-94 (1994), Standard test method for electrical indication of concrete's ability to resist chloride ion penetration, American Society for Testing and Materials.
  5. Barthel, J.M.G., Krienke, H. and Kunz, W. (1998), Physical chemistry of electrolyte solutions, Modern aspects, Springer-Verlag, New York.
  6. Bastidas, A.E., Saanchez, S.M. and Chateauneuf, A. (2008), "Coupled reliability model of biodeterioration, chloride ingress and cracking for reinforced concrete structures", Struct. Safe., 30(2), 110-129. https://doi.org/10.1016/j.strusafe.2006.09.001
  7. Bejaoui, S. and Bary, B. (2007), "Modeling of the link between microstructure and effective diffusivity of cement pastes using a simplified composite model", Cement Concrete Res., 37(3), 469-480. https://doi.org/10.1016/j.cemconres.2006.06.004
  8. Bertron, A., Duchesne, J. and Escadeillas, G. (2005), "Attack of cement pastes exposed to organic acids in manure", Cement Concrete Comp., 27(9-10), 898-909. https://doi.org/10.1016/j.cemconcomp.2005.06.003
  9. Carde, C. and François, R. (1997), "Effect on the leaching of calcium hydroxide from cement paste on mechanical properties", Cement Concrete Res., 27(4), 539-550. https://doi.org/10.1016/S0008-8846(97)00042-2
  10. CCES 01-2004 (2004), Rapid test method for diffusion coefficient of chloride ion in concrete, Chinese Civil Engineering Society Standards.
  11. Chandra, A. and Bagchi, B. (1999), "Ion conductance in electrolyte solutions", J. Chem. Phys., 110(20), 1024-1034.
  12. Chatterji, S. (1994), "Transportation of ions through cement based materials, Part I. Fundamental equations and basic measurement techniques", Cement Concrete Res., 24(5), 907-912. https://doi.org/10.1016/0008-8846(94)90010-8
  13. Clifton, J.R. and Knab, L.I. (1989), Service life of concrete, NISTIR, 89-4086, US Department of Commerce.
  14. Clifton, J.R. and Ponnersheim, J.M. (1995), Sulfate attack of cementitious materials: volumetric relations and expansions, NISTIR 5390, Building and Fire Research Laboratory, National Institute of Standards and Technology, Gaithersburg.
  15. Coussy, O. and Ulm, F.J. (2001), "Elements of durability mechanics of concrete structures", Proceeding of Creep, Shrinkage and Durability Mechanics of Concrete and other Quasi-Brittle Materials, Amsterdam, Netherlands, 3993-4009.
  16. Garboczi, E.J. (1990), "Permeability, diffusivity, and microstructural parameters: a critical review", Cement Concrete Res., 20(4), 591-601. https://doi.org/10.1016/0008-8846(90)90101-3
  17. Garboczi, E.J. and Bentz, D.P. (1998), "Multi-scale analytical/numerical theory of the diffusivity of concrete", Adv. Cem. Based Mater., 8(2), 77-88. https://doi.org/10.1016/S1065-7355(98)00010-8
  18. Huang, Z.Q. (1983), Introduction of electrolyte solution theory, Science Press, Beijing. (In Chinese)
  19. Kuhl, D. and Meschke, G. (2003), "Computational modeling of transport mechanisms in reactive porous media- Application to calcium leaching of concrete", Comput. Model. Concr. Struct., EURO-C, 473-482.
  20. Lee, H., Cody, R.D., Cody, A.M. and Spry, P.G. (2005), "The formation and role of ettringite in Iowa highway concrete deterioration", Cement Concrete Res., 35(2), 332-343. https://doi.org/10.1016/j.cemconres.2004.05.029
  21. Lee, W.H. and Wheaton, R.J. (1979), "Conductance of symmetrical, unsymmetrical and mixed electrolytes. Part 3: Examination of new model and analysis of data for symmetrical electrolytes", J. Chem. Soc., Faraday Trans., 75, 1128-1145. https://doi.org/10.1039/f29797501128
  22. Levi, M.D., Demadrille, R. and Pron, A. (2005), "Application of a novel refinement method for accurate determination of chemical diffusion coefficients in electroactive materials by potential step technique", J. Electrochem. Soc., 152(2), 61-67. https://doi.org/10.1149/1.1851033
  23. Li, L.Y. and Page, C.L. (1998), "Modelling of electrochemical chloride extraction from concrete: Influence of ionic activity coefficients", Comput. Mater. Sci., 9, 303-308. https://doi.org/10.1016/S0927-0256(97)00152-3
  24. Marchand, J., Samson, E., Maltais, Y., Lee, R.J. and Sahu, S. (2002), "Predicting the performance of concrete structures exposed to chemically aggressive environment-field validation", Mater. Struct., 35(3), 623-631.
  25. Masi, M., Colella, D., Radaelli, G. and Bertolini, L. (1997), "Simulation of chloride penetration in cement-based materials", Cement Concrete Res., 27(10), 1951-1601.
  26. Moore, W.J. (1972), "Physical chemistry"(4th ed.), Prentice-Hall Englewood Cliffs, New Jersey.
  27. Nakarai, K., Ishida, T. and Maekawa, K. (2006), "Modeling of calcium leaching from cement hydrates coupled with micro-pore formation", J. Adv. Concrete Tech., 4(3), 395-407. https://doi.org/10.3151/jact.4.395
  28. NT BUILD 492. (1999), Concrete, mortar and cement-based repair materials: chloride migration coefficient from non-steady-state migration experiments, Approved 1999-11, Finland.
  29. Onsager, L. and Fuoss, R.M. (1932), "Irreversible processes in electrolytes: diffusion, conductance, and viscous flow in arbitrary mixtures of strong electrolytes", J. Phys. Chem., 35, 2689-2778.
  30. Pankow, J.F. (1994), Aquatic chemistry concepts, Lewis Publishers.
  31. Park, Y.S., Suh, J.K. and Lee, J.H. (1999), "Strength deterioration of high strength concrete in sulfate environment", Cement Concrete Res., 29(9), 1397-1402. https://doi.org/10.1016/S0008-8846(99)00106-4
  32. Promentilla, M.A.B., Sugiyama, T., Hitomi, T. and Takeda, N. (2009), "Quantification of tortuosity in hardened cement pastes using synchrotron-based X-ray computed microtomoraphy", Cement Concrete Res., 39(6), 548-557. https://doi.org/10.1016/j.cemconres.2009.03.005
  33. Ritsema, C.J. (2006), "Estimation of activity coefficients of individual ions in solutions with ionic strengths up to 0.3 mol dm3", Eur. J. Soil Sci., 44(2), 307-315.
  34. Saetta, A.V., Scotta, R.V. and Vitaliani, R.V. (1993), "Analysis of chloride diffusion into partially saturated concrete", ACI Mater., 90(5), 441-451.
  35. Samson, E., Lemaire, G., Marchand, J. and Beaudoin, J.J. (1999), "Modeling chemical activity effects in strong ionic solutions", Comput. Mater. Sci., 15, 285-294. https://doi.org/10.1016/S0927-0256(99)00017-8
  36. Suryavanshi, A.K. (2002), "Estimation of diffusion coefficient for chloride ion penetration into structural concrete", ACI Mater., 99(5), 441-449.
  37. Tang, L. and Nilsson, L.O. (1992), "Rapid determination of chloride diffusivity of concrete by applying an electric field", ACI Mater., 49(1), 49-53.
  38. Tang, L. and Srensen, H.E. (2001), "Precision of the Nordic test methods for measuring the chloride diffusion/ migration coefficients of concrete", Mater. Struct., 34, 479-485. https://doi.org/10.1007/BF02486496
  39. Ulm, F.J., Lemarchand, E. and Heukamp, F.H. (2003), "Elements of chemomechanics of calcium leaching of cement-based materials at different scales", Eng. Fract. Mech. 70(7-8), 871-889. https://doi.org/10.1016/S0013-7944(02)00155-8
  40. Xi, Y., Willam, K. and Frangopol, D.M. (2000), "Multi-scale modeling of interactive diffusion processes in concrete", J. Eng. Mech., 126(3), 258-265. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:3(258)
  41. Yoon, I.S. (2009), "Simple approach to calculate chloride diffusivity of concrete considering carbonation", Comput. Concrete, 6(1), 1-18. https://doi.org/10.12989/cac.2009.6.1.001
  42. Zheng, J.J. and Zhou, X.Z. (2007), "Prediction of the chloride diffusion coefficient of concrete", Mater. Struct.,40(7), 693-701. https://doi.org/10.1617/s11527-006-9182-0

Cited by

  1. Numerical investigation on tortuosity of transport paths in cement-based materials vol.13, pp.3, 2014, https://doi.org/10.12989/cac.2014.13.3.309
  2. Numerical investigation on expansive volume strain in concrete subjected to sulfate attack vol.36, 2012, https://doi.org/10.1016/j.conbuildmat.2012.05.020
  3. Numerical simulation on time-dependent mechanical behavior of concrete under coupled axial loading and sulfate attack vol.142, 2017, https://doi.org/10.1016/j.oceaneng.2017.07.016
  4. Prediction of the Effective Diffusion Coefficient of Chloride Ions in Cement-Based Composite Materials vol.24, pp.9, 2012, https://doi.org/10.1061/(ASCE)MT.1943-5533.0000477
  5. Temperature effect on multi-ionic species diffusion in saturated concrete vol.13, pp.2, 2014, https://doi.org/10.12989/cac.2014.13.2.149
  6. Simulations on Expansive Strain of Concrete Caused by Ettringite Growth under Sulfate Attack vol.250-253, pp.1662-8985, 2011, https://doi.org/10.4028/www.scientific.net/AMR.250-253.1906
  7. Simulations on Sulfate Ion Diffusivity in Concrete Column under Random Excitations vol.261-263, pp.1662-8985, 2011, https://doi.org/10.4028/www.scientific.net/AMR.261-263.275
  8. Numerical investigation of the external sulfate attack induced expansion response of cement paste by using crystallization pressure vol.27, pp.2, 2019, https://doi.org/10.1088/1361-651X/aaf76a
  9. A method of global-local analyses of structures involving local heterogeneities and propagating cracks vol.38, pp.4, 2011, https://doi.org/10.12989/sem.2011.38.4.529
  10. Numerical investigation on gypsum and ettringite formation in cement pastes subjected to sulfate attack vol.19, pp.1, 2010, https://doi.org/10.12989/cac.2017.19.1.019
  11. Modeling of time-varying stress in concrete under axial loading and sulfate attack vol.19, pp.2, 2010, https://doi.org/10.12989/cac.2017.19.2.143
  12. Multiscale Numerical Simulation of Expansion Response of Hardened Cement Paste at Dormant Period of External Sulfate Attack vol.145, pp.7, 2010, https://doi.org/10.1061/(asce)em.1943-7889.0001622
  13. Evaluation of elastic modulus of cement paste in sodium sulfate solution by an advanced X-CT-hydration-deterioration model with SC method vol.32, pp.9, 2020, https://doi.org/10.1680/jadcr.18.00142