Abstract
In this paper, a two-dimensional finite difference numerical model with time varying coefficient using Alternating Direction Implicit Method (ADI) is developed to predict Chloride diffusion in concrete. This model is proved to be unconditionally stable and has higher accuracy. And a numerical example is given to show the effectiveness of this model.
Highlights
The diffusing mechanism of Chloride ion in reinforced concrete structures is very complex
Numerical example shows the effectiveness of ADI model, which can predict the diffusion of Chloride ion in concrete and reflect the influence of each parameter
Summary
The diffusing mechanism of Chloride ion in reinforced concrete structures is very complex. Model of Chloride ion diffusion equation is established mainly based on the Fick’s second law [1] which can combine Chlorine ion concentration with diffusion coefficient and diffusion time. Chloride ion diffusion coefficient is often considered to be a constant when we calculate the numerical model of the Chloride ion diffusion. Considering the two-dimensional diffusion of Chloride ion under actual conditions, the equation can be rewritten as [2]. Motivated by the above mentioned studies, we will consider a two-dimensional Chloride ion diffusing problem in a finite rectangle with time varying diffusion coefficient based on Fick’s second law.
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