Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition

The nonstable transport of chloride in cement-based materials, including diffusion, convection, and chloride binding, is described as a general form of Fick’s law. Inspired by the heat transport of concrete, the second boundary condition called the Neumann boundary condition is considered in the chl...

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Main Authors: Qi Meng, Yan Zhang, Chun-jin Lin, Lin-hua Jiang, Da Chen
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2018/8085954
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author Qi Meng
Yan Zhang
Chun-jin Lin
Lin-hua Jiang
Da Chen
author_facet Qi Meng
Yan Zhang
Chun-jin Lin
Lin-hua Jiang
Da Chen
author_sort Qi Meng
collection DOAJ
description The nonstable transport of chloride in cement-based materials, including diffusion, convection, and chloride binding, is described as a general form of Fick’s law. Inspired by the heat transport of concrete, the second boundary condition called the Neumann boundary condition is considered in the chloride transport of concrete. The theoretical deduction of one-dimensional chloride distribution with the Neumann boundary condition is performed, while a virtual boundary is introduced to carry out the approximate treatment. Finally, the comparison between the general Dirichlet boundary condition and the present Neumann boundary condition and the influence of the thickness of the virtual boundary as well as the influence of the water-cement ratio (w/c) are discussed.
format Article
id doaj-art-47d5060ef66f4055ba415da6bd62ae5d
institution Kabale University
issn 1687-8434
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Advances in Materials Science and Engineering
spelling doaj-art-47d5060ef66f4055ba415da6bd62ae5d2025-02-03T06:44:49ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422018-01-01201810.1155/2018/80859548085954Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary ConditionQi Meng0Yan Zhang1Chun-jin Lin2Lin-hua Jiang3Da Chen4College of Mechanics and Materials, Hohai University, Nanjing, ChinaCollege of Mechanics and Materials, Hohai University, Nanjing, ChinaCollege of Sciences, Hohai University, Nanjing, ChinaCollege of Mechanics and Materials, Hohai University, Nanjing, ChinaCollege of Harbor, Coastal and Offshore Engineering, Hohai University, Nanjing, ChinaThe nonstable transport of chloride in cement-based materials, including diffusion, convection, and chloride binding, is described as a general form of Fick’s law. Inspired by the heat transport of concrete, the second boundary condition called the Neumann boundary condition is considered in the chloride transport of concrete. The theoretical deduction of one-dimensional chloride distribution with the Neumann boundary condition is performed, while a virtual boundary is introduced to carry out the approximate treatment. Finally, the comparison between the general Dirichlet boundary condition and the present Neumann boundary condition and the influence of the thickness of the virtual boundary as well as the influence of the water-cement ratio (w/c) are discussed.http://dx.doi.org/10.1155/2018/8085954
spellingShingle Qi Meng
Yan Zhang
Chun-jin Lin
Lin-hua Jiang
Da Chen
Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition
Advances in Materials Science and Engineering
title Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition
title_full Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition
title_fullStr Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition
title_full_unstemmed Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition
title_short Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition
title_sort modeling of chloride distribution in cement based materials with neumann boundary condition
url http://dx.doi.org/10.1155/2018/8085954
work_keys_str_mv AT qimeng modelingofchloridedistributionincementbasedmaterialswithneumannboundarycondition
AT yanzhang modelingofchloridedistributionincementbasedmaterialswithneumannboundarycondition
AT chunjinlin modelingofchloridedistributionincementbasedmaterialswithneumannboundarycondition
AT linhuajiang modelingofchloridedistributionincementbasedmaterialswithneumannboundarycondition
AT dachen modelingofchloridedistributionincementbasedmaterialswithneumannboundarycondition