东南大学学报（自然科学版）2013，Vol.43Issue(2)：345-349,5.DOI:10.3969/j.issn.1001-0505.2013.02.022
基于有限元分析的石墨烯弹性性能和振动特性
Elastic properties and vibration characteristics of graphene using finite element method
摘要
Abstract
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 chirali-ty, 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.关键词
石墨烯/弹性性能/振动特性/有限元Key words
graphene/ elastic properties/ vibration characteristics/ finite element分类
通用工业技术引用本文复制引用
唐文来,彭倚天,倪中华..基于有限元分析的石墨烯弹性性能和振动特性[J].东南大学学报（自然科学版）,2013,43(2):345-349,5.基金项目
国家自然科学基金资助项目(51002030)、东南大学优秀青年教师资助项目. （51002030）
