Relationships of Diffusivities and Age Factors between Analytical and Empirical Chloride Models for Decreasing Diffusivities

International Concrete Abstracts Portal

The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.

  


Title: Relationships of Diffusivities and Age Factors between Analytical and Empirical Chloride Models for Decreasing Diffusivities

Author(s): Shengjun Zhou

Publication: Symposium Paper

Volume: 330

Issue:

Appears on pages(s): 55-66

Keywords: concrete, durability; service life; chloride diffusion; modelling; diffusivity; age factor.

DOI: 10.14359/51711240

Date: 9/26/2018

Abstract:
The relationships of diffusivities and age factors between the analytical and empirical models for chloride diffusion in concrete having a decreasing diffusivity are established. Apparent diffusivities and age factors in the empirical model are determined by fitting the chloride profiles obtained from the analytical model. The instantaneous diffusivities in analytical model are smaller than the corresponding apparent values. The ratios of two diffusivities decrease with time and age factor. Logarithm ratio of apparent diffusivity to the reference value at early age is proportional to the logarithm time ratio only after 2.5 years but not before while that of instantaneous diffusivity is so for all the time. The empirical model is suitable only when all inputs are determined based on the data after 2.5 years but not before. Furthermore, the ratio between hypothetical apparent diffusivity at reference time and the corresponding instantaneous value is obtained.

Related References:

1. Tang, L., and Nilsson, L. O., “Chloride diffusivity in high strength concrete at different ages,” Nordic Concrete Research Publication, V. 11, 1992, pp. 162-171.

2. Tang, L., and Gulikers, J., “On the mathematics of time-dependent apparent chloride diffusion coefficient in concrete,” Cement and Concrete Research, V. 37, No. 4, 2007, pp. 589-595. doi: 10.1016/j.cemconres.2007.01.006

3. Fick, A., “On Liquid Diffusion,” Philosophical Magazine, V. 10, 1855, pp. 30-39. (in English)

4. Crank, J., “The mathematics of diffusion,” Clarendon Press, Oxford, 1975.

5. NordTest, “NT Build 443, Concrete, Hardened - Accelerated Chloride Penetration,” Finland, 1995.

6. Bamforth, P., “Enhancing Reinforced Concrete Durability,” Concrete Society Technical Report 61, The Concrete Society, Surrey, UK, 2004.

7. Collepardi, M., “Marcialis, A., & Turriziani, R., “Penetration of chloride ions into cement pastes and concrete,” Journal of the American Ceramic Society, V. 55, No. 10, 1972, pp. 534-535. doi: 10.1111/j.1151-2916.1972.tb13424.x

8. Mangat, P. E., and Molloy, B. T., “Prediction of long term chloride concentration in concrete,” Materials and Structures, V. 27, No. 6, 1994, pp. 338-346. doi: 10.1007/BF02473426

9. Bamforth, P. B.; Price, W. F.; and Emerson, M., “An international review of chloride ingress into structural concrete,” Transport Research Laboratory (TRL), 1997, Berkshire, UK.

10. Stanish, K., and Thomas, M., “The use of bulk diffusion tests to establish time-dependent concrete chloride diffusion coefficients,” Cement and Concrete Research, V. 33, No. 1, 2003, pp. 55-62. doi: 10.1016/S0008-8846(02)00925-0

11. Harrison, N., “The correct solution to Fick’s Law for variable diffusion coefficient,” Concrete in Australia, V. 40, No. 4, 2014, pp. 38-41.

12. Federation of International Beton, (fib), “fib Bulletin 34, Model Code for Service Life Design”, Lausanne, Switzerland, 2006.

13. International Organization for Standardization (ISO), “ISO16204-2012, Durability – Service life design of concrete structures,” Switzerland, 2012.

14. Frederiksen, J. M.; Mejlbro, L.; and Nilsson, L., “Fick’s 2nd Law – Complete solutions for chloride ingress into concrete – with focus on time dependent diffusivity and boundary condition,” Report TVBM-3146, Lund Institute of Technology, Sweden, 2008.

15. Life-365TM Consortium III, “Manual for Life-365 Service Life Prediction Model,” Lovettsville, USA, 2014.