Stability and wrinkling of defective graphene sheets under shear deformation

2014 ◽  
Vol 14 (4) ◽  
pp. 533-537 ◽  
Author(s):  
Te-Hua Fang ◽  
Win-Jin Chang ◽  
Kai-Peng Lin ◽  
Siu-Tsen Shen
2009 ◽  
Vol 5 (7) ◽  
pp. 1877-1882 ◽  
Author(s):  
David R. Nutt ◽  
Hilary Weller

2019 ◽  
Vol 58 ◽  
pp. 151-164 ◽  
Author(s):  
Fatima Boukhatem ◽  
Aicha Bessaim ◽  
Abdelhakim Kaci ◽  
Abderrahmane Mouffoki ◽  
Mohammed Sid Ahmed Houari ◽  
...  

In this article, the analyses of free vibration of nanoplates, such as single-layered graphene sheets (SLGS), lying on an elastic medium is evaluated and analyzed via a novel refined plate theory mathematical model including small-scale effects. The noteworthy feature of theory is that the displacement field is modelled with only four unknowns, which is even less than the other shear deformation theories. The present one has a new displacement field which introduces undetermined integral variables, the shear stress free condition on the top and bottom surfaces of the plate is respected and consequently, it is unnecessary to use shear correction factors. The theory involves four unknown variables, as against five in case of other higher order theories and first-order shear deformation theory. By using Hamilton’s principle, the nonlocal governing equations are obtained and they are solved via Navier solution method. The influences played by transversal shear deformation, plate aspect ratio, side-to-thickness ratio, nonlocal parameter, and elastic foundation parameters are all examined. From this work, it can be observed that the small-scale effects and elastic foundation parameters are significant for the natural frequency.


Materials ◽  
2017 ◽  
Vol 10 (2) ◽  
pp. 164 ◽  
Author(s):  
Na Fan ◽  
Zhenzhou Ren ◽  
Guangyin Jing ◽  
Jian Guo ◽  
Bei Peng ◽  
...  

Nanoscale ◽  
2018 ◽  
Vol 10 (14) ◽  
pp. 6487-6495 ◽  
Author(s):  
Ying Wang ◽  
Zishun Liu

Driven by a damped high-frequency vibration, the flat defective graphene sheets can roll up to nanotubes of different shapes.


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