Technical Papers
Nov 17, 2016

Analytical Model for Load Dependence of Chloride Penetration into Concrete

Publication: Journal of Materials in Civil Engineering
Volume 29, Issue 5

Abstract

The concrete permeability at low deformation of the chlorine ion is closely related to the porosity of concrete. Under stress, the porosity of concrete will change; at the same time, the chloride ion diffusion coefficient will also change. In this study, at the microscale, concrete was simplified as solid phase (zero porosity) and pore (the sum of various scales pores) of two phase composite materials. Based on the theory of elasticity, an analytical model was developed, and the quantitative relationship between the current porosity of concrete and the diffusion coefficient of the chloride ion, as well as the external equivalent stress, were evaluated. The primary parameters in the analytical model were the solid phase elastic moduli and the solid phase Poisson’s ratio, the initial porosity of the concrete and the external equivalent stress. The good agreement between the proposed model and the available test data illustrated the proposed model’s reliability and accuracy. The proposed model showed that the chloride diffusion coefficient or current porosity of concrete at low deformation levels decreases with the increase in compressive stress and increases with the increase in tensile stress. However, the initial porosity of concrete was still the primary factor influencing the chloride ion diffusion.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This study was supported by the National Science Foundation of China (No. 51178454). The support is gratefully acknowledged.

References

Al-Kutti, W. A., Rahman, M. K., Shazali, M. A., and Baluch, M. H. (2014). “Enhancement in chloride diffusivity due to flexural damage in reinforced concrete beams.” J. Mater. Civ. Eng., 658–667.
Andrade, C., Sarría, J., and Alonso, C. (1999). “Relative humidity in the interior of concrete exposed to natural and artificial weathering.” Cem. Concr. Res., 29(8), 1249–1259.
Banthia, N., and Bhargava, A. (2007). “Permeability of stressed concrete and role of fiber reinforcement.” ACI Mater. J., 104(1), 70–76.
Bhargava, A., and Banthia, N. (2006). “Measurement of concrete permeability under stress.” Exp. Tech., 30(5), 28–31.
Buenfeld, N. R., and Newman, J. B. (1987). “Examination of three methods for studying ion diffusion in cement pastes, mortars and concrete.” Mater. Struct., 20(1), 3–10.
China Ministry of Transport. (2004). “Code for design of highway reinforced concrete and prestressed concrete bridge and culverts.” JTG D62-2004, China Communications Press, Beijing.
Christensen, R. M., and Lo, K. H. (1979). “Solutions for effective shear properties in three phase sphere and cylinder models.” J. Mech. Phys. Solids., 27(4), 315–330.
Collepardi, M., Marcialis, A., and Turriziani, R. (1972). “Penetration of chloride ions into cement pastes and concretes.” J. Am. Ceram. Soc., 55(10), 534–535.
Du, X., Jin, L., and Zhang, R. (2015). “Chloride diffusivity in saturated cement paste subjected to external mechanical loadings.” Ocean Eng., 95(6), 1–10.
Epstein, N. (1989). “On tortuosity and the tortuosity factor in flow and diffusion through porous media.” Chem. Eng. Sci., 44(3), 777–779.
Fick, A. (1855). “On liquid diffusion.” London, Edinburgh, and Dublin Philos. Mag. J. Sci., 10(63), 30–39.
Gowripalan, N., Sirivivatnanon, V., and Lim, C. C. (2000). “Chloride diffusivity of concrete cracked in flexure.” Cem. Concr. Res., 30(5), 725–730.
Grathwohl, P. (2012). Diffusion in natural porous media: Contaminant transport, sorption/desorption and dissolution kinetics, Springer, Berlin.
Hashin, Z. (1962). “The elastic moduli of heterogeneous materials.” J.Appl. Mech., 29(1), 143–150.
Herve, E., and Zaoui, A. (1993). “N-layered inclusion-based micromechanical modelling.” Int. J. Eng. Sci., 31(1), 1–10.
Jin, L., Zhang, R., Du, X., and Li, Y. (2015). “Multi-scale analytical theory of the diffusivity of concrete subjected to mechanical stress.” Constr. Build. Mater., 95(10), 171–185.
Kermani, A. (2007). “Permeability of stressed concrete: Steady-state method of measuring permeability of hardened concrete studies in relation to the change in structure of concrete under various short-term stress levels.” Build. Res. Inf., 19(6), 360–366.
Konin, A., Francois, R., and Arliguie, G. (1998). “Penetration of chlorides in relation to the microcracking state into reinforced ordinary and high strength concrete.” Mater. Struct., 31(5), 310–316.
Kwan, W. H., Ramli, M., and Cheah, C. B. (2014). “Flexural strength and impact resistance study of fibre reinforced concrete in simulated aggressive environment.” Constr. Build. Mater., 63(7), 62–71.
Lei, M., Peng, L., and Shi, C. (2014). “An experimental study on durability of shield segments under load and chloride environment coupling effect.” Tunnelling Underground Space Technol., 42(5), 15–24.
Lin, G., Liu, Y., and Xiang, Z. (2010). “Numerical modeling for predicting service life of reinforced concrete structures exposed to chloride environments.” Cem. Concr. Compos., 32(8), 571–579.
Liu, Q., Yang, J., Xia, J., Easterbrook, D., Li, L., and Lu, X. (2015). “A numerical study on chloride migration in cracked concrete using multi-component ionic transport models.” Comput. Mater. Sci., 99(3), 396–416.
Luping, T., and Nilsson, L. (1993). “Rapid determination of the chloride diffusivity in concrete by applying an electrical field.” ACI mater. J., 89(1), 49–53.
Maage, M., Helland, S., Poulsen, E., Vennesland, O., and Carl, J. E. (1996). “Service life prediction of existing concrete structures exposed to marine environment.” ACI Mater. J., 93(6), 602–608.
Mehta, P. K., and Monteiro, P. (1993). Concrete: Structure, properties, and materials, Prentice-Hall, Englewood Cliffs, NJ.
Ngala, V. T., Page, C. L., Parrott, L. J., and Yu, S. W. (1995). “Diffusion in cementitious materials: II, Further investigations of chloride and oxygen diffusion in well-cured OPC and OPC/30% PFA pastes.” Cem. Concr. Res., 25(4), 819–826.
Oh, B. H., and Jang, S. Y. (2004). “Prediction of diffusivity of concrete based on simple analytic equations.” Cem. Concr. Res., 34(3), 463–480.
Ožbolt, J., Balabanić, G., Periškić, G., and Kušter, M. (2010). “Modelling the effect of damage on transport processes in concrete.” Constr. build. mater., 24(9), 1638–1648.
Pivonka, P., Hellmich, C., and Smith, D. (2004). “Microscopic effects on chloride diffusivity of cement pastes—A scale-transition analysis.” Cem. Concr. Res., 34(12), 2251–2260.
Powers, T. C. (1958). “Structure and physical properties of hardened portland cement paste.” J. Am. Ceram. Soc., 41(1), 1–6.
Sadd, M. H. (2009). Elasticity: Theory, applications, and numerics, Academic Press, Oxford, U.K.
Sanahuja, J., Dormieux, L., and Chanvillard, G. (2007). “Modelling elasticity of a hydrating cement paste.” Cem. Concr. Res., 37(10), 1427–1439.
Sun, Y., Liang, M., and Chang, T. (2012). “Time/depth dependent diffusion and chemical reaction model of chloride transportation in concrete.” Appl. Math. Modell., 36(3), 1114–1122.
Wang, H., Lu, C., Jin, W., and Bai, Y. (2011). “Effect of external loads on chloride transport in concrete.” J. Mater. Civ. Eng., 1043–1049.
Wang, J. A., Lubliner, J., and Monteiro, P. (1988). “Effect of ice formation on the elastic moduli of cement paste and mortar.” Cem. Concr. Res., 18(6), 874–885.
Xi, Y., and Bažant, Z. P. (1999). “Modeling chloride penetration in saturated concrete.” J. Mater. Civ. Eng., 58–65.
Xu, Z. L. (2002). A concise course in elasticity, Higher Education Press, Beijing.
Ye, H., Fu, C., Jin, N., and Jin, X. (2015). “Influence of flexural loading on chloride ingress in concrete subjected to cyclic drying-wetting condition.” Comput. Concr., 15(2), 183–198.
Zheng, J., and Zhou, X. (2008). “Analytical solution for the chloride diffusivity of hardened cement paste.” J. Mater. Civ. Eng., 384–391.

Information & Authors

Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 29Issue 5May 2017

History

Received: Mar 30, 2016
Accepted: Sep 19, 2016
Published online: Nov 17, 2016
Discussion open until: Apr 17, 2017
Published in print: May 1, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate of Civil Engineering, Jiangsu Key Laboratory of Environmental Impact and Structural Safety in Engineering, China Univ. of Mining and Technology, Daxue Rd., Xuzhou City, Jiangsu Province 221116, China. ORCID: https://orcid.org/0000-0002-2305-5114. E-mail: [email protected]
Professor of Civil Engineering, Jiangsu Key Laboratory of Environmental Impact and Structural Safety in Engineering, State Key Laboratory for Geomechanics and Deep Underground Engineering, China Univ. of Mining and Technology, Daxue Rd., Xuzhou City, Jiangsu Province 221116, China (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share