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Fractional-order numerical modeling to study chloride ion transport in concrete with fly ash or slag additions

To better study the chloride ion migration in concrete with fly ash or ground granulated blast furnace slag under low fatigue load, a Caputo time fractional-order chloride diffusion model is developed in this paper. The model, grounded in Fick’s second law with a fractional-order derivative, employs...

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Detalles Bibliográficos
Autores principales: Zhou, Li, Huang, Guangdong, Chen, Ruige
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10688754/
https://www.ncbi.nlm.nih.gov/pubmed/38032946
http://dx.doi.org/10.1371/journal.pone.0294858
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author Zhou, Li
Huang, Guangdong
Chen, Ruige
author_facet Zhou, Li
Huang, Guangdong
Chen, Ruige
author_sort Zhou, Li
collection PubMed
description To better study the chloride ion migration in concrete with fly ash or ground granulated blast furnace slag under low fatigue load, a Caputo time fractional-order chloride diffusion model is developed in this paper. The model, grounded in Fick’s second law with a fractional-order derivative, employs an implicit numerical method for discretization, resulting in a fractional-order numerical scheme. The stability and convergence of the scheme are rigorously proven within the paper. The model’s unknown parameters are estimated using genetic algorithm with a grid method. To validate the model’s effectiveness, its numerical solution is juxtaposed with experimental results from chloride erosion studies. Furthermore, the fitting efficacy of the Caputo time fractional-order numerical scheme is compared with that of the classical Fick’s second law numerical scheme and analytical solution. The research findings demonstrate that the fractional-order numerical scheme can more accurately simulate the chloride concentration in concrete containing fly ash or slag. Additionally, the model shows promise in predicting the service life of fly ash or slag concrete.
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spelling pubmed-106887542023-12-01 Fractional-order numerical modeling to study chloride ion transport in concrete with fly ash or slag additions Zhou, Li Huang, Guangdong Chen, Ruige PLoS One Research Article To better study the chloride ion migration in concrete with fly ash or ground granulated blast furnace slag under low fatigue load, a Caputo time fractional-order chloride diffusion model is developed in this paper. The model, grounded in Fick’s second law with a fractional-order derivative, employs an implicit numerical method for discretization, resulting in a fractional-order numerical scheme. The stability and convergence of the scheme are rigorously proven within the paper. The model’s unknown parameters are estimated using genetic algorithm with a grid method. To validate the model’s effectiveness, its numerical solution is juxtaposed with experimental results from chloride erosion studies. Furthermore, the fitting efficacy of the Caputo time fractional-order numerical scheme is compared with that of the classical Fick’s second law numerical scheme and analytical solution. The research findings demonstrate that the fractional-order numerical scheme can more accurately simulate the chloride concentration in concrete containing fly ash or slag. Additionally, the model shows promise in predicting the service life of fly ash or slag concrete. Public Library of Science 2023-11-30 /pmc/articles/PMC10688754/ /pubmed/38032946 http://dx.doi.org/10.1371/journal.pone.0294858 Text en © 2023 Zhou et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Zhou, Li
Huang, Guangdong
Chen, Ruige
Fractional-order numerical modeling to study chloride ion transport in concrete with fly ash or slag additions
title Fractional-order numerical modeling to study chloride ion transport in concrete with fly ash or slag additions
title_full Fractional-order numerical modeling to study chloride ion transport in concrete with fly ash or slag additions
title_fullStr Fractional-order numerical modeling to study chloride ion transport in concrete with fly ash or slag additions
title_full_unstemmed Fractional-order numerical modeling to study chloride ion transport in concrete with fly ash or slag additions
title_short Fractional-order numerical modeling to study chloride ion transport in concrete with fly ash or slag additions
title_sort fractional-order numerical modeling to study chloride ion transport in concrete with fly ash or slag additions
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10688754/
https://www.ncbi.nlm.nih.gov/pubmed/38032946
http://dx.doi.org/10.1371/journal.pone.0294858
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