Atomistic finite element model for axial buckling and vibration analysis of single-layered graphene sheets

Rouhi, S.; Ansari, R.

doi:10.1016/j.physe.2011.11.020

Cited by 97 publications

(46 citation statements)

References 50 publications

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“…40 The advantages in computational efficiency of FE-based approaches with respect to atomistic simulations (e.g., MM, MD, and conjugate gradient) have been previously reported. [41][42][43] We note that the computing times reported by Liu et al 41 are almost identical to those for our FE simulations for the same number of atoms/nodes and similar computer hardware. Table III summarises the CPU times involved in the computational simulations of four SLGSs.…”

Section: (Experiments)supporting

confidence: 82%

Hyperelastic tension of graphene

Flores

Ajaj

Adhikari

et al. 2015

Applied Physics Letters

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Section: (Experiments)supporting

confidence: 82%

Hyperelastic tension of graphene

Flores

Ajaj

Adhikari

et al. 2015

Applied Physics Letters

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“…To verify the accuracy of our ANSYS model for calculating the vibration frequency of graphene, we compare the present result with the previous study, where the following parameters were used 24 :…”

Section: Resultsmentioning

confidence: 90%

“…The model used in the analysis is the same with the previous study. 24 The deformation of the single-layer graphene as a space-frame structure can be estimated by formulating a relationship between structural mechanics and molecular mechanics. 25 From the perspective of molecular mechanics, the total potential energy due to bonded interactions for the single layer graphene can be expressed by the following equation:…”

Section: Atomic Finite Element Analysismentioning

confidence: 99%

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Vibrational Analysis of a Single-Layered Nanoporous Graphene Membrane

Lee

Chang

2016

NANO

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In this study, we use the atomic-scale¯nite element method to investigate the vibrational behavior of the armchair-and zigzag-structured nanoporous graphene layers with simply supported-free-simply supported-free (SFSF) and clamped-free-free-free (CFFF) boundary conditions. The fundamental frequencies computed for the graphene layers without pores are compared with the results of previous studies. We observe very good correspondence of our results with that of the other studies in all the considered cases. For the armchair-and zigzag-structured nanoporous graphenes with SFSF and CFFF boundary conditions, the frequencies decrease with increasing porosity. When the positions of the pores are symmetric with respect to the center of the graphene, the frequency of the zigzag nanoporous graphene is higher than that of the armchair one. To the best of our knowledge, this is¯rst study investigating the relation between the vibrational behavior and porosity of nanoporous graphene layers, which is essential for tuning the material/structural design and exploring new applications for nanoporous graphenes.

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“…Here, E is the Young's modulus of the bond. Based on energy equivalence theory [14], the relation between the force field constants in molecular mechanics and the beam element stiffness in structural mechanics can be developed [15]. In addition, on the basis of structural dynamics theory, the equation of motion of graphyne for the free vibration of an undamped structure is expressed as…”

Section: Atomic-scale Finite Element Analysismentioning

confidence: 99%

Atomic-Scale Finite Element Method for Analyzing the Sensitivity of Graphyne-Based Resonators

Lee

Yang

Chang

2018

Journal of Nanomaterials

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An atomic-scale finite element method was applied to analyze the sensitivities of α-, β-, γ-, and 6,6,12-graphyne-based resonators in mass detection under different boundary conditions. These sensitivities are then compared with that of a graphene-based resonator obtained in a previous study. According to the analysis results, among the graphyne-based resonators, the α type shows the highest sensitivity, while the γ type shows the lowest. In addition, the sensitivity decreases as the resonator size increases. We also find that the location of the attached mass has a significant effect on the sensitivity of the γ-graphyne-based resonators with different attached masses. The α-graphyne-based resonator with a small attached mass is also sensitive to change in location. However, the situation is different for a large attached mass. This study is significant for the future design and application of a graphynebased resonator with high sensitivity.

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Atomistic finite element model for axial buckling and vibration analysis of single-layered graphene sheets

Cited by 97 publications

References 50 publications

Hyperelastic tension of graphene

Hyperelastic tension of graphene

Vibrational Analysis of a Single-Layered Nanoporous Graphene Membrane

Atomic-Scale Finite Element Method for Analyzing the Sensitivity of Graphyne-Based Resonators

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