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

1
School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China
2
Faculty of Engineering and Information Technology, University of Technology, Sydney, Ultimo, NSW 2007, Australia
*
Author to whom correspondence should be addressed.
Int. J. Mol. Sci. 2019, 20(9), 2355; https://doi.org/10.3390/ijms20092355
Received: 18 April 2019 / Revised: 30 April 2019 / Accepted: 8 May 2019 / Published: 13 May 2019
(This article belongs to the Special Issue Nano-Materials and Methods)
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Abstract

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. View Full-Text
Keywords: Kriging surrogate model; graphene sheets; Latin hypercube sampling; finite element method Kriging surrogate model; graphene sheets; Latin hypercube sampling; finite element method
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Shi, J.; Chu, L.; Braun, R. A Kriging Surrogate Model for Uncertainty Analysis of Graphene Based on a Finite Element Method. Int. J. Mol. Sci. 2019, 20, 2355.

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