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三种类型碳同素异形体的杨氏模量:分子力学模型与有限元方法

The Young's moduli of three types of carbon allotropes: a molecular mechanics model and a finite-element method.

作者信息

Zou Bo, Shen Jianxiang, Yu Peishi, Zhao Junhua

机构信息

Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology , Jiangnan University , 214122 Wuxi, People's Republic of China.

出版信息

Proc Math Phys Eng Sci. 2016 Feb;472(2186):20150628. doi: 10.1098/rspa.2015.0628.

Abstract

The close-form expressions of the Young's moduli and the fracture stresses of cyclicgraphene, graphyne and supergraphene along their armchair and zigzag directions are derived based on a molecular mechanics model. Checking against present finite-element calculations of their Young's moduli shows that the explicit solutions are reasonable. The obtained analytical solutions should be of great help for understanding the mechanical properties of the graphene-like materials.

摘要

基于分子力学模型,推导了环状石墨烯、石墨炔和超石墨烯沿其扶手椅方向和锯齿方向的杨氏模量和断裂应力的闭式表达式。与目前它们杨氏模量的有限元计算结果对比表明,这些显式解是合理的。所获得的解析解对于理解类石墨烯材料的力学性能应该有很大帮助。

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