The size-dependent bending elastic properties of nanobeams with surface effects

被引：129
|
作者：
Guo, Jian-Gang [1 ]
Zhao, Ya-Pu [1 ]
机构：
[1] Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100080, Peoples R China
来源：
NANOTECHNOLOGY | 2007年 / 18卷 / 29期
关键词：
D O I：
10.1088/0957-4484/18/29/295701
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
A theoretical model is presented to investigate the size-dependent bending elastic properties of a nanobeam with the influence of the surface relaxation and the surface tension taken into consideration. The surface layer and its thickness of a nanostructure are defined unambiguously. A three-dimensional (3D) crystal model for a nanofilm with n layers of relaxed atoms is investigated. The four nonzero elastic constants of the nanofilm are derived, and then the Young's modulus for simple tension is obtained. Using the relation of energy equilibrium, the size-dependent effective elastic modulus and effective flexural rigidity of a nanobeam with two kinds of cross sections are derived, and their dependence on the surface relaxation and the surface tension is analysed.
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页数：6
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