The correlation between graphene characteristic parameters and resonant frequencies by Monte Carlo based stochastic finite element model

Abstract The uncertainty and fluctuations in graphene characteristic parameters are inevitable issues in both of experimental measurements and numerical investigations. In this paper, the correlations between characteristic parameters (Young’s modulus, Poisson’s ratio and thickness of graphene) and...

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Autores principales:	Liu Chu, Jiajia Shi, Eduardo Souza de Cursi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/4e15c5bf2a464bf898f8cca89a1aabbe
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spelling	oai:doaj.org-article:4e15c5bf2a464bf898f8cca89a1aabbe2021-11-28T12:19:00ZThe correlation between graphene characteristic parameters and resonant frequencies by Monte Carlo based stochastic finite element model10.1038/s41598-021-02429-22045-2322https://doaj.org/article/4e15c5bf2a464bf898f8cca89a1aabbe2021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-02429-2https://doaj.org/toc/2045-2322Abstract The uncertainty and fluctuations in graphene characteristic parameters are inevitable issues in both of experimental measurements and numerical investigations. In this paper, the correlations between characteristic parameters (Young’s modulus, Poisson’s ratio and thickness of graphene) and resonant frequencies are analyzed by the Monte Carlo based stochastic finite element model. Based on the Monte Carlo stochastic sampling procedure, the uncertainty in the characteristic parameters are properly propagated and quantified. The displacements and rotation modes of graphene under the resonant vibration computed by the finite element method are verified. Furthermore, the result robustness of stochastic samples is discussed based on the statistic records and probability density distributions. In addition, both the Pearson and Spearman correlation coefficients of the corresponding characteristic parameters are calculated and compared. The work in this paper provides a feasible and highly efficient method for the characteristic parameter correlation discussion by taking uncertainty into consideration.Liu ChuJiajia ShiEduardo Souza de CursiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Liu Chu Jiajia Shi Eduardo Souza de Cursi The correlation between graphene characteristic parameters and resonant frequencies by Monte Carlo based stochastic finite element model
description	Abstract The uncertainty and fluctuations in graphene characteristic parameters are inevitable issues in both of experimental measurements and numerical investigations. In this paper, the correlations between characteristic parameters (Young’s modulus, Poisson’s ratio and thickness of graphene) and resonant frequencies are analyzed by the Monte Carlo based stochastic finite element model. Based on the Monte Carlo stochastic sampling procedure, the uncertainty in the characteristic parameters are properly propagated and quantified. The displacements and rotation modes of graphene under the resonant vibration computed by the finite element method are verified. Furthermore, the result robustness of stochastic samples is discussed based on the statistic records and probability density distributions. In addition, both the Pearson and Spearman correlation coefficients of the corresponding characteristic parameters are calculated and compared. The work in this paper provides a feasible and highly efficient method for the characteristic parameter correlation discussion by taking uncertainty into consideration.
format	article
author	Liu Chu Jiajia Shi Eduardo Souza de Cursi
author_facet	Liu Chu Jiajia Shi Eduardo Souza de Cursi
author_sort	Liu Chu
title	The correlation between graphene characteristic parameters and resonant frequencies by Monte Carlo based stochastic finite element model
title_short	The correlation between graphene characteristic parameters and resonant frequencies by Monte Carlo based stochastic finite element model
title_full	The correlation between graphene characteristic parameters and resonant frequencies by Monte Carlo based stochastic finite element model
title_fullStr	The correlation between graphene characteristic parameters and resonant frequencies by Monte Carlo based stochastic finite element model
title_full_unstemmed	The correlation between graphene characteristic parameters and resonant frequencies by Monte Carlo based stochastic finite element model
title_sort	correlation between graphene characteristic parameters and resonant frequencies by monte carlo based stochastic finite element model
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/4e15c5bf2a464bf898f8cca89a1aabbe
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The correlation between graphene characteristic parameters and resonant frequencies by Monte Carlo based stochastic finite element model

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