A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element Method

A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element Method

Due to the inevitable presence of random defects, unpredictable grain boundaries in macroscopic samples, stress concentration at clamping points, and unknown load distribution in the investigation of graphene sheets, uncertainties are crucial and challenging issues that require more exploration. The...

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Main Authors: Jiajia Shi, Liu Chu, Robin Braun
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:International Journal of Molecular Sciences
Subjects:
Kriging surrogate model
graphene sheets
Latin hypercube sampling
finite element method
Online Access:https://www.mdpi.com/1422-0067/20/9/2355
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spelling doaj-f0541378ae8948fab24f5e73757416662020-11-25T02:07:59ZengMDPI AGInternational Journal of Molecular Sciences1422-00672019-05-01209235510.3390/ijms20092355ijms20092355A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element MethodJiajia Shi0Liu Chu1Robin Braun2School of Transportation and Civil Engineering, Nantong University, Nantong 226019, ChinaSchool of Transportation and Civil Engineering, Nantong University, Nantong 226019, ChinaFaculty of Engineering and Information Technology, University of Technology, Sydney, Ultimo, NSW 2007, AustraliaDue to the inevitable presence of random defects, unpredictable grain boundaries in macroscopic samples, stress concentration at clamping points, and unknown load distribution in the investigation of graphene sheets, uncertainties are crucial and challenging issues that require more exploration. The application of the Kriging surrogate model in vibration analysis of graphene sheets is proposed in this study. The Latin hypercube sampling method effectively propagates the uncertainties in geometrical and material properties of the finite element model. The accuracy and convergence of the Kriging surrogate model are confirmed by a comparison with the reported references. The uncertainty analysis for both Zigzag and Armchair graphene sheets are compared and discussed.https://www.mdpi.com/1422-0067/20/9/2355Kriging surrogate modelgraphene sheetsLatin hypercube samplingfinite element method
collection DOAJ
language English
format Article
sources DOAJ
author Jiajia Shi
Liu Chu
Robin Braun
spellingShingle Jiajia Shi
Liu Chu
Robin Braun
A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element Method
International Journal of Molecular Sciences
Kriging surrogate model
graphene sheets
Latin hypercube sampling
finite element method
author_facet Jiajia Shi
Liu Chu
Robin Braun
author_sort Jiajia Shi
title A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element Method
title_short A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element Method
title_full A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element Method
title_fullStr A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element Method
title_full_unstemmed A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element Method
title_sort kriging surrogate model for uncertainty analysis of graphene based on a finite element method
publisher MDPI AG
series International Journal of Molecular Sciences
issn 1422-0067
publishDate 2019-05-01
description Due to the inevitable presence of random defects, unpredictable grain boundaries in macroscopic samples, stress concentration at clamping points, and unknown load distribution in the investigation of graphene sheets, uncertainties are crucial and challenging issues that require more exploration. The application of the Kriging surrogate model in vibration analysis of graphene sheets is proposed in this study. The Latin hypercube sampling method effectively propagates the uncertainties in geometrical and material properties of the finite element model. The accuracy and convergence of the Kriging surrogate model are confirmed by a comparison with the reported references. The uncertainty analysis for both Zigzag and Armchair graphene sheets are compared and discussed.
topic Kriging surrogate model
graphene sheets
Latin hypercube sampling
finite element method
url https://www.mdpi.com/1422-0067/20/9/2355
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AT liuchu akrigingsurrogatemodelforuncertaintyanalysisofgraphenebasedonafiniteelementmethod
AT robinbraun akrigingsurrogatemodelforuncertaintyanalysisofgraphenebasedonafiniteelementmethod
AT jiajiashi krigingsurrogatemodelforuncertaintyanalysisofgraphenebasedonafiniteelementmethod
AT liuchu krigingsurrogatemodelforuncertaintyanalysisofgraphenebasedonafiniteelementmethod
AT robinbraun krigingsurrogatemodelforuncertaintyanalysisofgraphenebasedonafiniteelementmethod
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