Bending Ultrathin Graphene at the Margins of Continuum Mechanics

被引:215
作者
Zhang, D. -B. [1 ]
Akatyeva, E. [1 ]
Dumitrica, T. [1 ]
机构
[1] Univ Minnesota, Dept Mech Engn, Minneapolis, MN 55455 USA
关键词
ELASTIC PROPERTIES;
D O I
10.1103/PhysRevLett.106.255503
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Deviations from continuum mechanics are always expected in nanoscale structures. We investigate the validity of the plate idealization of ultrathin graphene by gaining insight into the response of chemical bonds to bending deformations. In the monolayer, a bond orbital model reveals the breakdown of the plate phenomenology. In the multilayer, objective molecular dynamics simulations identify the validity margin and the role of discreteness in the plate idealization. Our result has implications for a broad class of phenomena where the monolayer easily curves, and for the design of mass and force detection devices.
引用
收藏
页数:4
相关论文
共 30 条
[1]   ELASTIC CONSTANTS OF COMPRESSION-ANNEALED PYROLYTIC GRAPHITE [J].
BLAKSLEE, OL .
JOURNAL OF APPLIED PHYSICS, 1970, 41 (08) :3373-+
[2]   Extended tight-binding potential for modelling intertube interactions in carbon nanotubes [J].
Carlson, A. ;
Dumitrica, T. .
NANOTECHNOLOGY, 2007, 18 (06)
[3]  
Chen CY, 2009, NAT NANOTECHNOL, V4, P861, DOI [10.1038/NNANO.2009.267, 10.1038/nnano.2009.267]
[4]   Curvature-induced polarization in carbon nanoshells [J].
Dumitrica, T ;
Landis, CM ;
Yakobson, BI .
CHEMICAL PHYSICS LETTERS, 2002, 360 (1-2) :182-188
[5]   Objective molecular dynamics [J].
Dumitrica, Traian ;
James, Richard D. .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2007, 55 (10) :2206-2236
[6]   Effect of external conditions on the structure of scrolled graphene edges [J].
Fogler, M. M. ;
Castro Neto, A. H. ;
Guinea, F. .
PHYSICAL REVIEW B, 2010, 81 (16)
[7]   Imaging mechanical vibrations in suspended graphene sheets [J].
Garcia-Sanchez, D. ;
van der Zande, A. M. ;
Paulo, A. San ;
Lassagne, B. ;
McEuen, P. L. ;
Bachtold, A. .
NANO LETTERS, 2008, 8 (05) :1399-1403
[8]   CHEMISTRY OF THE FULLERENES - THE MANIFESTATION OF STRAIN IN A CLASS OF CONTINUOUS AROMATIC-MOLECULES [J].
HADDON, RC .
SCIENCE, 1993, 261 (5128) :1545-1550
[10]  
Harrison W. A., 1999, Elementary Electronic Structure