Influence of Supplymentary Cementitious Materials on Diffusion and Adsorptive Reaction of Chloride Ions in Concrete

N. M.  Huang; M. T.  Liang; W. H.  Tsao

doi:10.6180/jase.2017.20.4.03

Influence of Supplymentary Cementitious Materials on Diffusion and Adsorptive Reaction of Chloride Ions in Concrete

Civil Engineering Computer Science and Information Engineering

Area ratio under the Da*-[Cl(aq)] curve for interpreting the geometric meaning of Eq. (32).

N. M. Huang ¹, M. T. Liang² and W. H. Tsao¹

¹Department of Civil Engineering, China University of Science and Technology, Taipei, Taiwan 11581, R.O.C.
²Department of Computer Science and Engineering, National Taiwan Ocean University, Keelung, Taiwan 20224, R.O.C

Received: April 6, 2017
Accepted: July 25, 2017
Publication Date: December 1, 2017

Download Citation: ||https://doi.org/10.6180/jase.2017.20.4.03

ABSTRACT

The durability of Portland cement (PC) systems incorporating supplementary cementitious materials (SCM) such as silica fume, slag, low- and high-calcium fly ash (FA) is recently investigated by using a modified model which is extended from a previously mathematical model. This modified model is represented by a simultaneous system, one is a nonlinear partial differential equation (PDE) which can be solved only numerically, the other is a Langmuir isotherm equation. In this paper, to solve this nonlinear PDE, first, the Kirchhoff transformation is used to render the nonlinear problem into a linear one, then the Laplace transformation is used to seek an analytical solution. This analytical solution is represented as the chloride concentration in the aqueous phase. The Langmuir isotherm equation is represented as the chloride concentration in the solid phase which is derived from the Langmuiran isotherm linear ordinary differential equation at time infinite. Inserting the value of aqueous phase chloride concentration into the Langmuir isotherm equation, the solid phase chloride concentration can be estimated. The principle of superposition can be used to present the total chloride concentration which is the sum of solid phase chloride concentration and concrete porosity product aqueous phase chloride concentration. Thus, the existing modified model can be alternately expressed in terms of two analytical solutions. In order to verify the practical serviceability of the proposed model, the previously experimental data were cited as input parameters. It was found that the prediction results were usually in good agreement with the experimental results.

Keywords: Chloride Ingress, Concrete, Fly Ash, Langmuir Isotherm, Portland Cement, Silica Fume

REFERENCES

[1] Basheer, P. A. M., Chidiac, S. E. and Long, A. E., “Predictive Models for Deterioration of Concrete Structure,” Construction and Building Materials, Vol. 10, pp. 2737 (1996). doi: 10.1016/0950-0618(95)00092-5
[2] Thompson, N. G. and Lankard, D. R., “Improved Concretes for Corrosion Resistance,” In: Georgetown Pike, McLeen VA. US Department of Transportation: Federal Highway Administration. Report No FHWA-RD96-207 (1997).
[3] Mehta, P. K., “Durability-critical Issues for the Future,” Concrete International, Vol. 19, pp. 2333 (1997).
[4] Mehta, P. K., “Role of Pozzolanic and Cementitious Material in Sustainable Development of the Concrete Industry,” In: Proceedings of the 6th International Conference on the Use of Fly Ash, Silica Fume, Slag and Natural Pozzolans in Concrete, Bangkok: ACI SP178, pp. 125 (1998).
[5] Berry, E. E. and Malhotra, V. M., “Fly Ash in Concrete,” In: Mathotra VM, Editor. Supplemental Cement Materials Concrete, Ottawa: CANMET SP-86-8E, pp. 35163 (1987).
[6] Neville, A. M., Properties of Concrete, Essex: Longman (1995).
[7] Sellevold, E. J. and Nilsen, T., “Condensed Silica Fume in Concrete: a World Review,” In: Mathotra VM, Editor, Supplemental Cement Materials Concrete, Ottawa: CANMET SP-86-8E, pp. 165243 (1987).
[8] AASHTO T277-86, “Rapid Determination of the Chloride Permeability of Concrete,” American Association of States Highway and Transportation Officials: Standard Specification-Part II Tests, Washington, D. C. (1990).
[9] ASTM C1202, “Electrical Indication of Concrete’s Ability to Resist Chloride Ion Penetration,” Annual Book of American Society for Testing Materials Standards: V. C04.02 (1997).
[10] Shi, C., Stegemann, J. A. and Caldwell, R. J., “Effect of Supplementary Cementing Materials on the Specific Conductivity of Pore Solution and Its Implications on the Rapid Chloride Permeability Test (AASHTO T277 and ASTM C1220) Results,” ACI Materials Journal, Vol. 95, pp. 389394 (1998). doi: 10.14359/381
[11] Shi, C., “Effect of Mixing Proportions of Concrete on Its Electric Conductivity and the Rapid Chloride Permeability Test (ASTM C1202 or ASSHTO T277) Results,” Cement and Concrete Research, Vol. 34, pp. 537545 (2004). doi: 10.1016/j.cemconres.2003.09.007
[12] Farahani, A., Taghaddos, H. and Shekarchi, M., “Prediction of Long-term Chloride Diffusion in Silica Fume Concrete in a Marine Environment,” Cement and Concrete Composites, Vol. 59, pp. 1117 (2015). doi: 10.1016/j.cemconcomp.2015.03.006
[13] Rivera, F., Martínez, P., Castro, J. and López, M., “Massive Volume Fly-ash Concrete: a More Sustainable Material with Fly Ash Replacing Cement and Aggregates,” Cement and Concrete Composites, Vol. 63, pp. 104112 (2015). doi: 10.1016/j.cemconcomp. 2015.08.001
[14] Lim, T. Y. D., Teng, S., Bahador, S. D. and Gjrv, O. E., “Durability of Very-high-strength Concrete with Supplementary Cementitious Materials for Marine Environments,” ACI Materials Journal, Vol. 113, pp. 95103 (2016). doi: 10.14359/51687981
[15] Pereira, C. J. and Hegedus, L. L., “Diffusion and Reaction of Chloride Ions in Porous Concrete,” In: Proceedings of the 8th International Symposium of Chemical Reaction Engineering. Edinburgh, Scotland (1984). doi: 10.1016/0304-386X(83)90069-5
[16] Papadakis, V. G., Roumeliotis, A. P., Fardis, M. N. and Vayenas, C. G., “Mathematical Modeling of Chloride Effect on Concretes Durability and Protection Measures,” In: R. K. Dhir and M. R. Jones (Eds.), Concrete Repair, Rehabilitation and Protection, E & FN Spon, London, pp. 165174 (1996a). doi: 10.4324/ 9780203476635_chapter_6
[17] Papadakis, V. G., Fardis, M. N. and Vayenas, C. G., “Physicochemical Processes and Mathematical Modeling of Concrete Chlorination,” Chemical Engineering Science, Vol. 51, pp. 505513 (1996b). doi: 10. 1016/0009-2509(95)00318-5
[18] Papadakis, V. G., “Effect of Supplementary Cementing Materials on Concrete Resistance against Carbonation and Chloride Ingress,” Cement and Concrete Research, Vol. 30, pp. 291299 (2000). doi: 10.1016/ S0008-8846(99)00249-5
[19] Papadakis, V. G. and Tsimas, S., “Supplementary Cementing Materials in Concrete Part I: Efficiency and Design,” Cement and Concrete Research, Vol. 32, pp. 15251532 (2002). doi: 10.1016/S0008-8846(02) 00827-X
[20] Hindmarsh, A. C. and Gear, C. W., Ordinary Differential Equation System Solver, UCIO-30001, Rev. 3, Lawrence Livermore Laboratories, CA (1974).
[21] Tang, L. and Nilson, L. O., “Chloride Binding Capacity and Binding Isotherms of OPC Pastes and Mortars,” Cement and Concrete Research, Vol. 23, pp. 247253 (1993). doi: 10.1016/0008-8846(93)90089-R
[22] Martín-Pérez, B., Zibara, H., Hooton, R. D. and Thomas, M. D. A., “A Study of the Effect of Chloride Binding on Service Life Prediction,” Cement and Concrete Research, Vol. 32, pp. 12151223 (2000). doi: 10.1016/S0008-8846(00)00339-2
[23] Brebbia, C. A., Tslles, J. C. and Wrobl, L. C., Boundary Element Techniques: Theory and Application Engineering, New York: Springer-Verlag (1984). doi: 10.1007/978-94-009-6192-0_2
[24] Kane, J. H., Boundary Element Analysis, Engineering Continuous Mechanism, Englewood: Prentice Hall (1994).