Simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers

The present work aims to study the simulation of the electrical percolation of carbon nanotubes (CNTs) in polymethylmethacrylate matrix (PMMA). In order to do this, simulations were employed in two-dimensional and three-dimensional analyses through a program developed by the Monte Carlo method, supp...

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Main Authors: Silva, Jessica Pereira, Sousa, Lailson, Villa-Vélez, Harvey Alexander, COELHO, PAULO HENRIQUE
Format: Online
Language:English
Published: Facultad de Ciencias Exactas, Químicas y Naturales 2022
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Online Access:https://www.fceqyn.unam.edu.ar/recyt/index.php/recyt/article/view/698
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spelling ojs-article-6982022-10-29T12:49:12Z Simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers Simulación de la percolación eléctrica de nanotubos de carbono a través de una matriz de polimetilmetacrilato: análisis bidimensional y tridimensional usando el efecto de la tortuosidad de los nanoaditivos Silva, Jessica Pereira Sousa, Lailson Villa-Vélez, Harvey Alexander COELHO, PAULO HENRIQUE Carbon nanotubes Cubic-matrix approach Monte Carlo method Polymethylmethacrylate Tortuosity Nanotubos de carbono Enfoque de matriz cúbica Método de Monte Carlo Polimetilmetacrilato Tortuosidad The present work aims to study the simulation of the electrical percolation of carbon nanotubes (CNTs) in polymethylmethacrylate matrix (PMMA). In order to do this, simulations were employed in two-dimensional and three-dimensional analyses through a program developed by the Monte Carlo method, supported by the excluded volume model in order to analyze the geometric tortuosity in the polymeric matrix. The percolation threshold was analyzed by different aspect ratios, volumetric fractions and conductive load geometries. In the simulations, a decrease in the percolation threshold was observed when the aspect ratio increased and the particles became more tortuous, being these characteristics the parameters to evaluate both two-dimensional and three-dimensional systems. The results show percolation threshold values of 0.625% vol and aspect ratio of 1000 for two-dimensional analyses and, 0.08% vol and aspect ratio of 250 for three-dimensional analyses, being the adequacy to the main models for electrical percolation with tortuosity effect of the nanocarriers proposed by literature. El presente trabajo tiene como objetivo estudiar la simulación de la percolación eléctrica de nanotubos de carbono (CNT) en matriz de polimetilmetacrilato (PMMA). Para ello, se utilizaron simulaciones en análisis bidimensionales y tridimensionales a través de un programa desarrollado utilizando el método Monte Carlo, apoyado en el modelo de volumen excluido para analizar la tortuosidad geométrica en la matriz polimérica. El umbral de percolación se analizó mediante diferentes relaciones de aspecto, fracciones volumétricas y geometrías de carga conductiva. En las simulaciones, se observó una disminución en el umbral de percolación cuando aumentaba la relación de aspecto y las partículas se volvían más tortuosas, siendo estas características los parámetros para evaluar sistemas tanto bidimensionales como tridimensionales. Los resultados muestran valores de umbral de percolación de 0.625% vol y relación de aspecto de 1000 para análisis bidimensionales y 0.08% vol y relación de aspecto de 250 para análisis tridimensionales, siendo la adecuación a los principales modelos de percolación eléctrica con efecto de tortuosidad los nanoaditivos propuestos por la literatura. Facultad de Ciencias Exactas, Químicas y Naturales 2022-05-16 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/html https://www.fceqyn.unam.edu.ar/recyt/index.php/recyt/article/view/698 10.36995/j.recyt.2022.37.008 Argentine Journal of Science and Technology; Vol. 37 No. 1 (2022); 64-72 Revista de Ciencia y Tecnología; Vol. 37 Núm. 1 (2022); 64-72 1851-7587 0329-8922 eng https://www.fceqyn.unam.edu.ar/recyt/index.php/recyt/article/view/698/721 https://www.fceqyn.unam.edu.ar/recyt/index.php/recyt/article/view/698/722 Derechos de autor 2022 Jessica Pereira Silva, Lailson Sousa, Harvey Alexander Villa-Vélez, PAULO HENRIQUE COELHO https://creativecommons.org/licenses/by-nc/2.5/ar/
institution Facultad de Ciencias Exactas Quimicas y Naturales
collection Revista de Ciencia y Tecnologia RECyT
language English
topic Carbon nanotubes
Cubic-matrix approach
Monte Carlo method
Polymethylmethacrylate
Tortuosity
Nanotubos de carbono
Enfoque de matriz cúbica
Método de Monte Carlo
Polimetilmetacrilato
Tortuosidad
spellingShingle Carbon nanotubes
Cubic-matrix approach
Monte Carlo method
Polymethylmethacrylate
Tortuosity
Nanotubos de carbono
Enfoque de matriz cúbica
Método de Monte Carlo
Polimetilmetacrilato
Tortuosidad
Silva, Jessica Pereira
Sousa, Lailson
Villa-Vélez, Harvey Alexander
COELHO, PAULO HENRIQUE
Simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers
topic_facet Carbon nanotubes
Cubic-matrix approach
Monte Carlo method
Polymethylmethacrylate
Tortuosity
Nanotubos de carbono
Enfoque de matriz cúbica
Método de Monte Carlo
Polimetilmetacrilato
Tortuosidad
format Online
author Silva, Jessica Pereira
Sousa, Lailson
Villa-Vélez, Harvey Alexander
COELHO, PAULO HENRIQUE
author_facet Silva, Jessica Pereira
Sousa, Lailson
Villa-Vélez, Harvey Alexander
COELHO, PAULO HENRIQUE
author_sort Silva, Jessica Pereira
title Simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers
title_short Simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers
title_full Simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers
title_fullStr Simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers
title_full_unstemmed Simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers
title_sort simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers
title_alt Simulación de la percolación eléctrica de nanotubos de carbono a través de una matriz de polimetilmetacrilato: análisis bidimensional y tridimensional usando el efecto de la tortuosidad de los nanoaditivos
description The present work aims to study the simulation of the electrical percolation of carbon nanotubes (CNTs) in polymethylmethacrylate matrix (PMMA). In order to do this, simulations were employed in two-dimensional and three-dimensional analyses through a program developed by the Monte Carlo method, supported by the excluded volume model in order to analyze the geometric tortuosity in the polymeric matrix. The percolation threshold was analyzed by different aspect ratios, volumetric fractions and conductive load geometries. In the simulations, a decrease in the percolation threshold was observed when the aspect ratio increased and the particles became more tortuous, being these characteristics the parameters to evaluate both two-dimensional and three-dimensional systems. The results show percolation threshold values of 0.625% vol and aspect ratio of 1000 for two-dimensional analyses and, 0.08% vol and aspect ratio of 250 for three-dimensional analyses, being the adequacy to the main models for electrical percolation with tortuosity effect of the nanocarriers proposed by literature.
publisher Facultad de Ciencias Exactas, Químicas y Naturales
publishDate 2022
url https://www.fceqyn.unam.edu.ar/recyt/index.php/recyt/article/view/698
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