Advanced

The Influence of shearing and rotary inertia on the resonant properties of gold nanowires

Olsson, Pär LU ; Park, Harold and Lidström, Per LU (2010) In Journal of Applied Physics 108(10).
Abstract
In a previous publication [ P. A. T. Olsson, J. Appl. Phys. 108, 034318 (2010) ], molecular dynamics (MD) simulations have been performed to study the resonant properties of gold nanowires. It has been documented in the aforementioned publication that the eigenfrequencies of the fundamental mode follows the continuum mechanically predicted behavior when Bernoulli–Euler beam theory is used, whereas the higher order modes tend to be low in comparison to Bernoulli–Euler beam theory predictions. In this work, we have studied the resonant properties of unstressed and prestressed nanowires to explain why the eigenfrequencies of the fundamental mode follows the behavior predicted by Bernoulli–Euler beam theory while those of higher order modes... (More)
In a previous publication [ P. A. T. Olsson, J. Appl. Phys. 108, 034318 (2010) ], molecular dynamics (MD) simulations have been performed to study the resonant properties of gold nanowires. It has been documented in the aforementioned publication that the eigenfrequencies of the fundamental mode follows the continuum mechanically predicted behavior when Bernoulli–Euler beam theory is used, whereas the higher order modes tend to be low in comparison to Bernoulli–Euler beam theory predictions. In this work, we have studied the resonant properties of unstressed and prestressed nanowires to explain why the eigenfrequencies of the fundamental mode follows the behavior predicted by Bernoulli–Euler beam theory while those of higher order modes are low in comparison. This is done by employing Timoshenko beam theory and studying the nanowire deformations for different modes. We find good agreement between the MD results and Timoshenko predictions due to the increasing importance of shearing and rotary inertia for higher order resonant modes. Furthermore, we argue that this type of behavior is merely a geometric effect stemming from low aspect ratio for the considered structures as a converging type of behavior is found when the aspect ratios fall between 15 and 20. Finally, we have found that classical Timoshenko beam theory that neglects nanoscale surface effects is able to, simply through utilization of the size dependent Young’s modulus, capture the dynamic properties of the gold nanowires as calculated through MD. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Applied Physics
volume
108
issue
10
publisher
American Institute of Physics
external identifiers
  • wos:000285005000126
  • scopus:78650290302
ISSN
0021-8979
DOI
10.1063/1.3510584
language
English
LU publication?
yes
id
50986899-893e-4bdb-93af-e8dd279c93a8 (old id 1729804)
alternative location
http://jap.aip.org/resource/1/japiau/v108/i10/p104312_s1
http://link.aip.org/link/?JAP/108/104312
date added to LUP
2010-11-26 12:17:02
date last changed
2018-05-29 09:22:53
@article{50986899-893e-4bdb-93af-e8dd279c93a8,
  abstract     = {In a previous publication [ P. A. T. Olsson, J. Appl. Phys. 108, 034318 (2010) ], molecular dynamics (MD) simulations have been performed to study the resonant properties of gold nanowires. It has been documented in the aforementioned publication that the eigenfrequencies of the fundamental mode follows the continuum mechanically predicted behavior when Bernoulli–Euler beam theory is used, whereas the higher order modes tend to be low in comparison to Bernoulli–Euler beam theory predictions. In this work, we have studied the resonant properties of unstressed and prestressed nanowires to explain why the eigenfrequencies of the fundamental mode follows the behavior predicted by Bernoulli–Euler beam theory while those of higher order modes are low in comparison. This is done by employing Timoshenko beam theory and studying the nanowire deformations for different modes. We find good agreement between the MD results and Timoshenko predictions due to the increasing importance of shearing and rotary inertia for higher order resonant modes. Furthermore, we argue that this type of behavior is merely a geometric effect stemming from low aspect ratio for the considered structures as a converging type of behavior is found when the aspect ratios fall between 15 and 20. Finally, we have found that classical Timoshenko beam theory that neglects nanoscale surface effects is able to, simply through utilization of the size dependent Young’s modulus, capture the dynamic properties of the gold nanowires as calculated through MD.},
  articleno    = {104312},
  author       = {Olsson, Pär and Park, Harold and Lidström, Per},
  issn         = {0021-8979},
  language     = {eng},
  number       = {10},
  publisher    = {American Institute of Physics},
  series       = {Journal of Applied Physics},
  title        = {The Influence of shearing and rotary inertia on the resonant properties of gold nanowires},
  url          = {http://dx.doi.org/10.1063/1.3510584},
  volume       = {108},
  year         = {2010},
}