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Nanomaterials 2018, 8(7), 489; https://doi.org/10.3390/nano8070489

Vibration Analysis of Vacancy Defected Graphene Sheets by Monte Carlo Based Finite Element Method

1
School of Transportation, Nantong University, Nantong 226019, China
2
Département Mécanique, Institut National des Sciences Appliquées de Rouen, 76801 Rouen, France
*
Author to whom correspondence should be addressed.
Received: 29 May 2018 / Revised: 21 June 2018 / Accepted: 28 June 2018 / Published: 2 July 2018
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Abstract

The stochastic distributed placement of vacancy defects has evident effects on graphene mechanical property, which is a crucial and challenged issue in the field of nanomaterial. Different from the molecular dynamic theory and continuum mechanics theory, the Monte Carlo based finite element method (MC-FEM) was proposed and performed to simulate vibration behavior of vacancy defected graphene. Based on the Monte Carlo simulation, the difficulties in random distributed location of vacancy defects were well overcome. The beam element was chosen to represent the exact atomic lattice of the graphene. The results of MC-FEM have a satisfied agreement with that in the reported references. The natural frequencies in the certain vibration mode were captured to observe the mechanical property of vacancy defected graphene sheets. The discussion about the parameters corresponding with geometry and material property was accomplished by probability theory and mathematical statistics. View Full-Text
Keywords: vacancy defects; Monte Carlo based finite element method; natural frequencies vacancy defects; Monte Carlo based finite element method; natural frequencies
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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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Chu, L.; Shi, J.; Souza de Cursi, E. Vibration Analysis of Vacancy Defected Graphene Sheets by Monte Carlo Based Finite Element Method. Nanomaterials 2018, 8, 489.

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