Elastic properties and vibration characteristics of graphene using finite element method

被引：3
作者：
Tang, Wenlai [1 ]
Peng, Yitian [1 ]
Ni, Zhonghua [1 ]
机构：
[1] Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Southeast University
来源：
Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition) | 2013年 / 43卷 / 02期
关键词：
Elastic properties; Finite element; Graphene; Vibration characteristics;
D O I：
10.3969/j.issn.1001-0505.2013.02.022
中图分类号：
学科分类号：
摘要：
In order to study the elastic properties and vibration characteristics of graphene, a frame structure continuum model is developed. The carbon atoms are represented by lumped masses, and C-C covalent bonds are modeled as rectangular beams. Then the continuum model is analysed using finite element method. The results show that the elastic properties of graphene correlate to the chirality, and armchair graphene have better elastic properties. Graphene may gradually become isotropic as the sizes increase. The Young's modulus, shear modulus and Poisson's ratio of graphene tends to be 1.03 TPa, 440 GPa and 0.175, respectively. The vibration characteristics of graphene do not depend on the chirality. The natural frequencies of graphene decrease with the sizes, but the corresponding mode shapes remain unchanged. The boundary conditions have a great effect on the frequencies and mode shapes. The more the boundary constraints, the higher the natural frequencies of graphene. In addition, graphene with different boundary conditions have completely different mode shapes.
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页码：345 / 349
页数：4
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