A modified molecular structural mechanics model for the buckling analysis of single layer graphene sheet

2016 ◽  
Vol 225 ◽  
pp. 12-16 ◽  
Author(s):  
R.D. Firouz-Abadi ◽  
H. Moshrefzadeh-Sany ◽  
H. Mohammadkhani ◽  
M. Sarmadi
Keyword(s):  
Graphene Sheet ◽  
Single Layer ◽  
Structural Mechanics ◽  
Buckling Analysis ◽  
Single Layer Graphene ◽  
Layer Graphene ◽  
Mechanics Model

Multiscale Analysis Approach to Find the Dynamic Characteristics of Graphene Sheet

2014 ◽  
Vol 592-594 ◽  
pp. 1119-1124 ◽  
Author(s):  
Sachin O. Gajbhiye ◽  
Satinder P. Singh
Keyword(s):  
Graphene Sheet ◽  
Multiscale Analysis ◽  
Single Layer ◽  
Structural Mechanics ◽  
Single Layer Graphene ◽  
Space Frame ◽  
Layer Graphene ◽  
Mechanics Model ◽  
Frame Element ◽  
Carbon Carbon Bond

The research work addresses question on dynamic characteristic of structure which exhibit periodicity at nanoscale viz. single layer graphene sheet using multiscale analysis approach. The carbon-carbon bond of graphene sheet is modeled as space frame element whereas the carbon atom is modeled as 3D-mass element without rotary inertia. Molecular structural mechanics (MSM) model has been used to find the equivalent geometric and elastic properties of space frame element to represent carbon-carbon bond. In molecular structural mechanics model, force field is expressed in the form of steric potential energy by omitting the electrostatic interaction. Sectional stiffness parameters are linked with the force field constants to derive the equivalent elastic and geometric properties of space frame element. This approach is used here to investigate the dynamic behavior of single layer graphene sheet. Simulations have been carried out with different values of aspect ratio to know the effect of variation in length and width on the natural frequencies of graphene structure. Molecular dynamic simulation has also been carried out on the same structure of graphene sheet to validate the results of proposed molecular structural mechanics model.

scholarly journals Geometrical Dimensional Effect on Natural Frequency of Single Layer Graphene in Armchair Configuration

2021 ◽  
Vol 4 (2) ◽  
Author(s):  
Harshad Patel
Keyword(s):  
Graphene Sheet ◽  
Plate Theory ◽  
Single Layer ◽  
Free Edge ◽  
Single Layer Graphene ◽  
Geometrical Parameters ◽  
Classical Plate Theory ◽  
Element Analysis ◽  
Nanomechanical Resonator ◽  
Layer Graphene

Graphene has remarkable strength, such as yield strength and elasticconstant. The dynamic behaviour of graphene sheet is affected bygeometrical variation in atomic arrangement. This paper introducedgraphene with armchair atomic structure for estimating fundamental naturalfrequencies. The presented analysis can be useful for the possible highfrequency nanomechanical resonator systems. The analytical formulation,based on classical plate theory and continuum solid modelling based finiteelement method have been performed for estimation of fundamental naturalfrequencies of single layer graphene sheet (SGLS) with different boundaryconditions. The free edge and clamped edge boundary conditions have beenconsidered. For simplifying analytical formulations, Blevins approach fordynamic solution has been adopted and for validating analytical results.The finite element analysis of SLGS has been performed using ANSYSsoftware. The effect of variation in geometrical parameters in terms ofwidth and length of SLGS has been analysed for realization of ultra-highfrequency based nanomechanical resonator systems

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