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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Mockensturm, Eric Mahdavi, Arash |
| Copyright Year | 2005 |
| Abstract | Experimental investigations of carbon nanotubes have revealed that they can collapse into nanoribbons that have a dumb-bell shape cross-section. Due to the extreme exibility of single-atom thick graphene sheets, if the tube is large enough self-induced Van der Waals forces acting on the at surfaces of the ribbon will be large enough to hold the nanotube in the collapsed (ribbon) configuration. Energetically, the additional strain (bending) energy stored in the collapsed state is offset by the decrease in energy of the Van der Waals interactions. Because Van der Waals forces are short ranged, one nds that tubes of great enough diameter are bistable. Here we investigate the natural of this bistability by investigating how the energy stored in the tube changes as it is compressed by at rigid indenters of various widths. The nanotube is assumed to deform uniformly along its length and the cross-section is modeled using inextensible, non-linear beam theory (Euler’s Elastica). We nd that the in ated (tube) conguration is always stable but that the energy barrier against decreases with increasing tube radius. Additionally, the energy difference between the in ated and collapsed states decreases nearly linear with increasing radius and for tubes with radius greater than 26 A the collapsed state is energetically favored. |
| Sponsorship | Applied Mechanics Division |
| Starting Page | 277 |
| Ending Page | 291 |
| Page Count | 15 |
| File Format | |
| ISBN | 0791842126 |
| DOI | 10.1115/IMECE2005-82991 |
| e-ISBN | 0791837696 |
| Volume Number | Applied Mechanics |
| Conference Proceedings | ASME 2005 International Mechanical Engineering Congress and Exposition |
| Language | English |
| Publisher Date | 2005-11-05 |
| Publisher Place | Orlando, Florida, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Collapse Van der waals forces Euler-bernoulli beam theory Graphene Nanotubes Atoms Carbon nanotubes Shapes |
| Content Type | Text |
| Resource Type | Article |
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