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Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis

The present study addresses the discrete simulation of the flow of concentrated suspensions encountered in the forming processes involving reinforced polymers, and more particularly the statistical characterization and description of the effects of the intense fiber interaction, occurring during the...

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Detalles Bibliográficos
Autores principales: Mezher, Rabih, Arayro, Jack, Hascoet, Nicolas, Chinesta, Francisco
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8466080/
https://www.ncbi.nlm.nih.gov/pubmed/34573854
http://dx.doi.org/10.3390/e23091229
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author Mezher, Rabih
Arayro, Jack
Hascoet, Nicolas
Chinesta, Francisco
author_facet Mezher, Rabih
Arayro, Jack
Hascoet, Nicolas
Chinesta, Francisco
author_sort Mezher, Rabih
collection PubMed
description The present study addresses the discrete simulation of the flow of concentrated suspensions encountered in the forming processes involving reinforced polymers, and more particularly the statistical characterization and description of the effects of the intense fiber interaction, occurring during the development of the flow induced orientation, on the fibers’ geometrical center trajectory. The number of interactions as well as the interaction intensity will depend on the fiber volume fraction and the applied shear, which should affect the stochastic trajectory. Topological data analysis (TDA) will be applied on the geometrical center trajectories of the simulated fiber to prove that a characteristic pattern can be extracted depending on the flow conditions (concentration and shear rate). This work proves that TDA allows capturing and extracting from the so-called persistence image, a pattern that characterizes the dependence of the fiber trajectory on the flow kinematics and the suspension concentration. Such a pattern could be used for classification and modeling purposes, in rheology or during processing monitoring.
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spelling pubmed-84660802021-09-27 Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis Mezher, Rabih Arayro, Jack Hascoet, Nicolas Chinesta, Francisco Entropy (Basel) Article The present study addresses the discrete simulation of the flow of concentrated suspensions encountered in the forming processes involving reinforced polymers, and more particularly the statistical characterization and description of the effects of the intense fiber interaction, occurring during the development of the flow induced orientation, on the fibers’ geometrical center trajectory. The number of interactions as well as the interaction intensity will depend on the fiber volume fraction and the applied shear, which should affect the stochastic trajectory. Topological data analysis (TDA) will be applied on the geometrical center trajectories of the simulated fiber to prove that a characteristic pattern can be extracted depending on the flow conditions (concentration and shear rate). This work proves that TDA allows capturing and extracting from the so-called persistence image, a pattern that characterizes the dependence of the fiber trajectory on the flow kinematics and the suspension concentration. Such a pattern could be used for classification and modeling purposes, in rheology or during processing monitoring. MDPI 2021-09-18 /pmc/articles/PMC8466080/ /pubmed/34573854 http://dx.doi.org/10.3390/e23091229 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Mezher, Rabih
Arayro, Jack
Hascoet, Nicolas
Chinesta, Francisco
Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis
title Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis
title_full Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis
title_fullStr Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis
title_full_unstemmed Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis
title_short Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis
title_sort study of concentrated short fiber suspensions in flows, using topological data analysis
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8466080/
https://www.ncbi.nlm.nih.gov/pubmed/34573854
http://dx.doi.org/10.3390/e23091229
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