Mechanics of Single- and Multi-Wall Carbon Nanotubes

单壁和多壁碳纳米管的力学

• 批准号: 0099909
• 负责人: YongGang Huang
• 金额: $ 19万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-06-15 至 2005-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0099909&HistoricalAwards=false
• 关键词: Mechanics; Single; Multi; Wall; Carbon

MECHANICS OF SINGLE- AND MULTI-WALL CARBON NANOTUBESAbstractCarbon nanotubes exhibit superior mechanical properties with extraordinarilyhigh stiffness and strength. There are, however, virtually no continuumstudies of carbon nanotubes because it is generally thought that continuummechanics theories are not applicable on the atomic or nanometer scales, andone must rely on atomistic studies. The atomistic studies, on the otherhand, have some limitations on both the time and length scales forapplications involving a large number of carbon nanotubes.The objective of the work is to develop a continuum theory for carbon nanotubes that incorporates the interatomic potential of carbon. We will adopt a systematic approach to link the continuum and atomistic scales. The strain energy density on the continuum level will be obtained by averaging the bond energy in carbon bonds on the atomic level, which will lead to a continuum constitutive model for carbon nanotubes. The nanoscale continuum will then be validated by the atomistic studies.

单壁和多壁碳纳米管的力学研究摘要碳纳米管具有上级力学性能，具有非常高的刚度和强度。 然而，实际上没有碳纳米管的连续研究，因为人们普遍认为连续力学理论在原子或纳米尺度上不适用，必须依赖于原子的研究。 另一方面，原子论的研究在涉及大量碳纳米管的应用中，在时间和长度尺度上都有一定的局限性，本工作的目标是发展一个包含碳原子间相互作用势的碳纳米管连续理论。 我们将采用一种系统的方法来连接连续统和原子尺度。通过对原子水平上碳键的键能进行平均，得到连续谱水平上的应变能密度，从而得到碳纳米管的连续谱本构模型。 纳米尺度的连续性将通过原子论的研究得到验证。