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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2015013313
pages 393-412

DYNAMIC CHARACTERISTICS OF SINGLE-LAYERED GRAPHENE SHEETS DUE TO ATOMIC VACANCY DEFECT USING MULTISCALE ANALYSIS TECHNIQUE INCORPORATING TERSOFF-BRENNER POTENTIAL

Sachin O. Gajbhiye
Department of Mechanical Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India
S. P. Singh
Department of Mechanical Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India

ABSTRACT

This paper deals with the eigenvalues extraction and steady-state forced vibration response of single-layered graphene sheets (SLGSs) with and without atomic vacancy defect using atomistic finite element method. The multi-body interatomic TersoffBrenner potential is used to represent the energy between two adjacent carbon atoms. Based on the Tersoff-Brenner potential, a new set of force constant parameters is established for graphene sheet, and the equivalent geometric and elastic properties of the space frame element to represent carboncarbon bond are derived which are consistent with the material constitutive relations. Different values of aspect ratio and contours of SLGS are considered along with clamped, bridged, and cantilevered boundary conditions. A computational sine sweep test is carried out on the atomic structure of SLGSs with and without atomic vacancy defect within the frequency range of 0 to 10 THz. The vibration characteristics of SLGSs are also investigated under an impulse excitation. The response of SLGSs to the harmonic and impulse load over an applied frequency range is calculated. The response of SLGSs with an atomic vacancy defect is also compared with that of without defect to study its effect on the vibration characteristics. The results have been validated using molecular dynamics simulation and with those available in the literature.


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