Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Steel and Composite Structures Volume 34, Number 2, January25 2020 , pages 261-277 DOI: https://doi.org/10.12989/scs.2020.34.2.261 |
|
|
|
Influence of vacancy defects on vibration analysis of graphene sheets applying isogeometric method: Molecular and continuum approaches |
||
Vahid Tahouneh, Mohammad Hasan Naei and Mahmoud Mosavi Mashhadi
|
||
| Abstract | ||
| The main objective of this research paper is to consider vibration analysis of vacancy defected graphene sheet as a nonisotropic structure via molecular dynamic and continuum approaches. The influence of structural defects on the vibration of graphene sheets is considered by applying the mechanical properties of defected graphene sheets. Molecular dynamic simulations have been performed to estimate the mechanical properties of graphene as a nonisotropic structure with single- and double- vacancy defects using open source well-known software i.e., large-scale atomic/molecular massively parallel simulator (LAMMPS). The interactions between the carbon atoms are modelled using Adaptive Intermolecular Reactive Empirical Bond Order (AIREBO) potential. An isogeometric analysis (IGA) based upon non-uniform rational B-spline (NURBS) is employed for approximation of single-layered graphene sheets deflection field and the governing equations are derived using nonlocal elasticity theory. The dependence of small-scale effects, chirality and different defect types on vibrational characteristic of graphene sheets is investigated in this comprehensive research work. In addition, numerical results are validated and compared with those achieved using other analysis, where an excellent agreement is found. The interesting results indicate that increasing the number of missing atoms can lead to decrease the natural frequencies of graphene sheets. It is seen that the degree of the detrimental effects differ with defect type. The Young\'s and shear modulus of the graphene with SV defects are much smaller than graphene with DV defects. It is also observed that Single Vacancy (SV) clusters cause more reduction in the natural frequencies of SLGS than Double Vacancy (DV) clusters. The effectiveness and the accuracy of the present IGA approach have been demonstrated and it is shown that the IGA is efficient, robust and accurate in terms of nanoplate problems. | ||
| Key Words | ||
| defected graphene; vibration analysis; isogeometric method; NURBS; nonlocal elasticity theory; molecular dynamic | ||
| Address | ||
| Vahid Tahouneh, Mohammad Hasan Naei and Mahmoud Mosavi Mashhadi: School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran | ||