Technical Papers
Aug 27, 2012

Effective Medium Approach for Evaluating the Oxygen Diffusivity of Concrete

Publication: Journal of Materials in Civil Engineering
Volume 25, Issue 6

Abstract

In view of the importance of the diffusion of oxygen molecules in concrete to the durability assessment and design of reinforced concrete structures located in a marine or deicing salt environment, it is essential to determine its oxygen diffusivity. This paper presents an effective medium approach for evaluating the oxygen diffusivity of concrete. Since the aggregate, bulk cement paste, and interfacial transition zone (ITZ) have different morphological characteristics and contributions to the diffusion of oxygen molecules in concrete, concrete is modeled as an isotropic three-phase composite material. Based on the stereological analysis of aggregate size distributions and the statistical geometry of composites, the ITZ volume fraction is formulated analytically. By introducing a hypothetical homogeneous medium of nonzero oxygen diffusivity and applying the general effective medium approach, an analytical solution is derived for the oxygen diffusivity of concrete. The primary advantage of the approach is that the ITZ percolation effect is taken into account and the oxygen diffusivity bounds are satisfied. Finally, some numerical comparisons are made to show the good consistency between the proposed approach and experimental results obtained from the research literature.

Get full access to this article

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

Acknowledgments

The financial support from the National Natural Science Foundation (Grant No. 50878196), the Key Science and Technology Innovation Team of Zhejiang Province (Grant No. 2010R50034), and the Natural Science Foundation of Zhejiang Province (Grant No. LY12E08022), of the People’s Republic of China, is gratefully acknowledged.

References

Bapat, J. D. (2001). “Performance of cement concrete with mineral admixtures.” Adv. Cem. Res., 13(4), 139–155.
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., 10(4), 220–228.
Cady, P. D., and Weyers, R. E. (1984). “Deterioration rates of concrete bridge decks.” J. Transp. Eng., 110(1), 34–44.
Castellote, M., Alonso, C., Andrade, C., Chadbourn, G. A., and Page, C. L. (2001). “Oxygen and chloride diffusion in cement pastes as a validation of chloride diffusion coefficients obtained by steady-state migration tests.” Cem. Concr. Res., 31(4), 621–625.
Devore, J. L. (2004). Probability and statistics for engineering and the sciences, Higher Education Press, Beijing.
Garboczi, E. J., and Bentz, D. P. (1997). “Analytical formulas for interfacial transition zone properties.” Adv. Cem. Based Mater., 6(3–4), 99–108.
Hashin, Z., and Shtrikman, S. (1962). “A variational approach to the theory of effective magnetic permeability of multiphase materials.” J. Appl. Phys., 33(10), 3125–3131.
Koelman, J. M. V. A., and de Kuijper, A. (1997). “An effective medium model for the electric conductivity of an N-component anisotropic and percolating Mixture.” Physica A, 247(1–4), 10–22.
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.
Lu, B. L., and Torquato, S. (1992). “Nearest-surface distribution functions for polydispersed particle system.” Phys. Rev. A, 45(8), 5530–5544.
Neville, A. M. (1995). Properties of concrete, Pitmann Publishing, London.
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.
Nilsen, A. U., and Monteiro, P. J. M. (1993). “Concrete: A three phase material.” Cem. Concr. Res., 23(1), 147–151.
Ollivier, J. P., Maso, J. C., and Bourdette, B. (1995). “Interfacial transition zone in concrete.” Adv. Cem. Based Mater., 2(1), 30–38.
Scherer, G. W., Zhang, J., Quintanillac, J. A., and Torquato, S. (2012). “Hydration and percolation at the setting point.” Cem. Concr. Res., 42(5), 665–672.
Shafiq, N., and Cabrera, J. G. (2004). “Effects of initial curing condition on the fluid transport properties in OPC and fly ash blended cement concrete.” Cem. Concr. Compos., 26(4), 381–387.
Tittarelli, F., Moriconi, G., and Fratesi, R. (2000). “Influence of silane-based hydrophobic admixture on oxygen diffusion through concrete cement matrix.” Am. Concr. Inst., 195, 431–446.
Vennesland, O., and Gjorv, O. E. (1983). “Silica concrete-protection against corrosion of embedded steel.” Am. Concr. Inst., 79, 719–730.
Winslow, D. N., Cohen, M. D., Bentz, D. P., Snyder, K. A., and Garboczi, E. J. (1994). “Percolation and pore structure in mortars and concrete.” Cem. Concr. Res., 24(1), 25–37.
Wong, H. S., and Buenfeld, N. R. (2006). “Euclidean distance mapping for computing microstructural gradients at interfaces in composite materials.” Cem. Concr. Res., 36(6), 1091–1097.
Wong, H. S., Zobel, M., Buenfeld, N. R., and Zimmerman, R. W. (2009). “Influence of the interfacial transition zone and microcracking on the diffusivity, permeability and sorptivity of cement-based materials after drying.” Mag. Concr. Res., 61(8), 571–589.
Wong, P., Koplik, J., and Tomanic, J. P. (1984). “Conductivity and permeability of rocks.” Phys. Rev. B, 30(11), 6606–6614.
Yi, Y. B., and Sastry, A. M. (2002). “Analytical approximation of the two-dimensional percolation threshold for fields of overlapping ellipses.” Phys. Rev. E, 66(6), 066130.1–066130.8.
Zheng, J. J., Hong, S. W., and Buenfeld, N. R. (2009). “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., and Li, C. Q. (2002). “Three-dimensional aggregate density in concrete with wall effect.” ACI Mater. J., 99(6), 568–575.
Zheng, J. J., Li, C. Q., and Zhou, X. Z. (2005). “Characterization of microstructure of interfacial transition zone in concrete.” ACI Mater. J., 102(4), 265–271.
Zheng, J. J., and Zhou, X. Z. (2007). “Percolation of ITZs in concrete and effects of attributing factors.” J. Mater. Civ. Eng., 19(9), 784–790.
Zheng, J. J., and Zhou, X. Z. (2008). “Three-phase composite sphere model for the prediction of chloride diffusion coefficient of concrete.” J. Mater. Civ. Eng., 20(3), 205–211.

Information & Authors

Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 25Issue 6June 2013
Pages: 711 - 717

History

Received: Nov 17, 2011
Accepted: Jul 19, 2012
Published online: Aug 27, 2012
Published in print: Jun 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

Jianjun Zheng [email protected]
Professor, School of Civil Engineering and Architecture, Zhejiang Univ. of Technology, Hangzhou 310014, P.R. China. 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