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On the mathematics of time-dependent apparent chloride diffusion coefficient in concrete
Authors:Tang Luping  Joost Gulikers
Affiliation:a SP Swedish National Testing and Research Institute, S-50115 Boraas, Sweden
b Department of Building Technology, Chalmers University of Technology, S-41296 Gothenburg, Sweden
c Rijkswaterstaat Bouwdienst, Ministry of Transport, Public Works and Water Management, NL-3502 LA, Utrecht, The Netherlands
Abstract:This paper provides an improved mathematical analysis of chloride penetration into concrete employing a time-dependent diffusion coefficient for the solution of Fick's second law of diffusion. In the paper the possible errors caused by the application of oversimplified mathematical expressions used in some models for the evaluation of service life of reinforced concrete structures are discussed. The results from this mathematical analysis demonstrate that some models based on the oversimplified error function complement (ERFC) solutions may easily overestimate the service life by orders of magnitude, especially when the age factor is high. Some chloride profiles after up to 10 years' field exposure were used to compare the oversimplified with the improved models. The results show that both the oversimplified and the improved models fairly well predict the 10 years' chloride ingress in Portland cement concrete, but the oversimplified ERFC model significantly underestimates the chloride ingress in concrete with fly ash.
Keywords:Concrete (E)  Diffusion (C)  Durability (C)  Modeling (E)  Transport properties (C)
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