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

Nanomaterials
Liu ChuEduardo Souza de Cursi

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.

References

Oct 23, 2004·Science·K S NovoselovA A Firsov
Aug 8, 2009·Physical Review Letters·Emiliano CadelanoLuciano Colombo
Dec 17, 2009·The Journal of Physical Chemistry. a·Russell Whitesides, Michael Frenklach
Nov 26, 2010·ACS Nano·Florian BanhartArkady V Krasheninnikov
Feb 23, 2012·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Riccardo DettoriLuciano Colombo
Mar 2, 2013·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Lixin ZhouGuoxin Cao

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Citations

May 16, 2019·International Journal of Molecular Sciences·Jiajia ShiRobin Braun
Nov 11, 2019·Nanomaterials·Brina J BlinzlerRoland Kádár
Dec 14, 2018·Materials·Liu ChuEduardo Souza de Cursi
Jun 3, 2021·International Journal of Molecular Sciences·Liu ChuEduardo Souza De Cursi
Jun 18, 2021·Nano-micro Letters·Bowen Zheng, Grace X Gu

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