Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models

2009 ◽  
Vol 373 (11) ◽  
pp. 1062-1069 ◽  
Author(s):  
S.C. Pradhan ◽  
J.K. Phadikar
NANO ◽  
2012 ◽  
Vol 07 (05) ◽  
pp. 1250033 ◽  
Author(s):  
L. Y. HUANG ◽  
Q. HAN ◽  
Y. J. LIANG

In this article, the small scale effect parameter e0 of single-layered graphene sheets (SLGSs) is calibrated for the bending problem. Taking the SLGSs as a rectangular plate, the normal displacement of the simply supported plate under concentrated force was analyzed by both nonlocal elasticity theory and molecular dynamics (MD) simulations, then the small scale effect parameter e0 of SLGSs with different size was obtained by matching the displacement of the nonlocal elasticity theory and that obtained from MD simulations. The results show that the value of e0 is not a constant but has a relationship with the size of SLGSs, and the relationship of armchair-graphene sheets and zigzag-graphene sheets is different.


2016 ◽  
Vol 23 (6) ◽  
pp. 2033-2041 ◽  
Author(s):  
K. F. Wang ◽  
B. L. Wang ◽  
S. Zeng

2012 ◽  
Vol 101 (9) ◽  
pp. 093109 ◽  
Author(s):  
Jin Zhang ◽  
Chengyuan Wang ◽  
Rajib Chowdhury ◽  
Sondipon Adhikari

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