Explicit expressions describing elastic properties and buckling load of BN nanosheets due to the effects of vacancy defects

Sarvi, Zohreh; Asgari, Masoud; Shariyat, M.; Googarchin, Hamed Saeidi

doi:10.1016/j.spmi.2015.10.028

Cited by 11 publications

(3 citation statements)

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“…One atom of vacancy leads to the loss of three neighbor bonds. Besides, in this study, the vacancy defects are dispersed in the entire graphene randomly, whereas in the previous study [ 32 ], the vacancy defects were periodically and regularly distributed. Therefore, it is reasonable to affirm that the periodic atom vacancy defects have more distinct effects on the critical buckling stress of graphene sheets than the stochastic beam vacancy defects.…”

Section: Resultsmentioning

confidence: 76%

“… Comparison with results reported in the literature [ 32 ] (with 95% confidence interval). FE: finite element; MD: molecular dynamics.…”

Section: Figurementioning

confidence: 82%

“…Furthermore, with the augmentation of the number of vacancy defects, not only the critical buckling stress itself was affected, but also the interval between the maximum and minimum values of the MC–FEM was amplified. In Figure 7 , the results of the presented method are compared with those of the molecular dynamics (MD) and finite element (FE) methods in reported the literature [ 32 ]. This figure shows that the values measured in this study are generally smaller than those obtained by the MD and discrete FE methods, especially when the vacancy defect amount was small.…”

Section: Resultsmentioning

confidence: 99%

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Buckling Analysis of Vacancy-Defected Graphene Sheets by the Stochastic Finite Element Method

2018

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Vacancy defects are unavoidable in graphene sheets, and the random distribution of vacancy defects has a significant influence on the mechanical properties of graphene. This leads to a crucial issue in the research on nanomaterials. Previous methods, including the molecular dynamics theory and the continuous medium mechanics, have limitations in solving this problem. In this study, the Monte Carlo-based finite element method, one of the stochastic finite element methods, is proposed and simulated to analyze the buckling behavior of vacancy-defected graphene. The critical buckling stress of vacancy-defected graphene sheets deviated within a certain range. The histogram and regression graphs of the probability density distribution are also presented. Strengthening effects on the mechanical properties by vacancy defects were detected. For high-order buckling modes, the regularity and geometrical symmetry in the displacement of graphene were damaged because of a large amount of randomly dispersed vacancy defects.

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Section: Resultsmentioning

confidence: 76%

“… Comparison with results reported in the literature [ 32 ] (with 95% confidence interval). FE: finite element; MD: molecular dynamics.…”

Section: Figurementioning

confidence: 82%

Section: Resultsmentioning

confidence: 99%

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