| 基于Lenosky原子作用势单层石墨烯片的力学模型 |
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| 引用本文： | 黄坤,殷雅俊,屈本宁,吴继业.基于Lenosky原子作用势单层石墨烯片的力学模型[J].力学学报,2014,46(6):905-910. |
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| 作者姓名： | 黄坤 殷雅俊 屈本宁 吴继业 |
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| 作者单位： | 1 昆明理工大学土木工程学院 工程力学系, 昆明 650500 |
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| 基金项目： | 国家自然科学基金资助项目(11272175,11072125)~~ |
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| 摘 要： | 基于对Lenosky 碳-碳共价键作用势连续化得到的单层石墨烯的势能和Hamilton 原理,导出了单层石墨烯的动力学方程. 使用该数学模型及Galerkin 方法,研究了矩形单层石墨烯片的静力挠曲问题. 结果显示,石墨烯片的几何尺寸较小时,弯曲刚度对结构的受力影响较大,可用板理论来描述;随着结构尺寸的增大,弯曲刚度的影响迅速降低;当矩形石墨烯片的短边尺寸大于10 nm 时,可以忽略弯曲刚度对结构的影响,使用薄膜理论来描述单层石墨烯的力学性质.
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| 关 键 词： | 单层石墨烯 曲率弹性能 运动方程 板 薄膜 |
| 收稿时间： | 2014-03-24 |
A MECHANICS MODEL OF A MONOLAYER GRAPHENE BASED ON THE LENOSKY INTERATOMIC POTENTIAL ENERGY |
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| Institution: | 1 Department of Engineering Mechanics, Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, China2 Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China3 Division of Mechanics, Nanjing University of Technology, Nanjing 211816, China |
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| Abstract: | In this paper, the equations of motion for a monolayer graphene are obtained by a continuum limit form of elastic energy of the Lenosky C-C covalent bond and Hamilton principle. Using the equations and Galerkin method the static bending of a rectangular monolayer graphene is investigated. It is found that the bending stiffness has a significant effect on the Mechanical Characteristics of the grapheme. The graphene may be described by a plate when the graphene size is small, but the effect of bending stiffness will quickly decrease accompanying the size increment of the graphene. When the short side dimension is greater than 10nm for a rectangular monolayer graphene, the bending stiffness may be neglected and a thin film model is a good agreement with the monolayer graphene. |
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