51. Difference Solution to Chloride Diffusion in Concrete
- Author
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Yan Lin Zhao, Ai Ping Yu, Hai Bo Lu, and Ke Yu Wei
- Subjects
Diffusion equation ,Partial differential equation ,Discretization ,Differential equation ,Diffusion ,Convergence (routing) ,Mass diffusivity ,Applied mathematics ,Thermodynamics ,General Medicine ,Fick's laws of diffusion ,Mathematics - Abstract
Fick’s second law and its analytical solution were usually used for analysis of chloride diffusion in concrete. But discretization of the continuous variables is more appropriate in modeling and discrete model is more suitable for engineering applications. In this paper, Difference Equation equivalent to partial differential equation was established with the difference method, and three-dimensional differential equation of Fick's second law was resolved. Based on this study,the convergence conditions of difference Equations for one-dimensional, 2D and 3D diffusion was given.
- Published
- 2011
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