A method for developing the equivalent continuum model of a single layer graphene sheet
A method for developing the equivalent continuum model of a single layer graphene sheet
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DOI：
10.1016/j.tsf.2008.05.040
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发表时间：
2008-09-01
期刊：
影响因子：
2.1
通讯作者：
Khandan, Rasoul
中科院分区：
文献类型：
--
作者：
Hemmasizadeh, Ali;Mahzoon, Mojtaba;Khandan, Rasoul
提出了一种建立单层石墨烯片等效连续介质模型的方法。该方法将分子动力学方法作为精确数值解与壳理论作为解析方法相结合。从分子动力学模拟的纳米压痕的单个石墨烯片实现的力-深度的结果进行了比较，制定大挠度的圆板加载在中心。结果，独立地获得板壁的有效杨氏模量和机械厚度。通过将单层石墨烯片的纳米压痕有限元模型与文献中的分子动力学结果进行比较，验证了该方法的有效性。所提出的结果表明，所提出的方法可以提供一个有价值的工具，研究单层石墨烯片的力学行为，以及连续介质理论在纳米结构材料的效率。(c)2008 Elsevier B. V.保留所有权利。
A method is presented to develop the equivalent continuum model for a single-layered graphene sheet. This method integrates molecular dynamics method as an exact numerical solution with theory of shell as an analytical method. The force-depth results achieved from molecular dynamics simulation of nano-indentation of a single graphene sheet are compared with the formulation for large deflection of circular plates loaded at the centre. As a result, the effective Young's modulus and mechanical thickness of the sheet wall are independently obtained. The validity of this approach is verified by comparing finite element modeling of nano-indentation of a single graphene sheet with molecular dynamics results available in the literature. Presented results demonstrate that the proposed method could provide a valuable tool for studying the mechanical behaviour of single-layered graphene sheets, as well as efficiency of continuum theory in nano-structured material. (c) 2008 Elsevier B.V. All rights reserved.