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Understanding mechanical properties of nanostructures using Euler's theory

Søndergaard, Niels LU ; Ghatnekar-Nilsson, Sara LU ; Guhr, Thomas LU and Montelius, Lars LU (2007) In Nanotechnology 18(25).
Abstract
The objective of this paper is to theoretically quantify large deflections of chromium nanocantilevers using Euler's theory. We show that, remarkably, Euler's theory originally derived for elastic macroscopic rods made of homogeneous material also describes the bending of nanocantilevers. In addition, the theory yields a precise method to deduce Young's extension modulus of the nanocantilevers. In particular, we find our nanocantilevers to be considerably softer than macroscopic chromium rods.
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Nanotechnology
volume
18
issue
25
article number
255502
publisher
IOP Publishing
external identifiers
  • wos:000247077000005
  • scopus:34347235057
ISSN
0957-4484
DOI
10.1088/0957-4484/18/25/255502
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002), Solid State Physics (011013006)
id
c43045c9-977d-4e1b-94e8-e063d35f52f2 (old id 660441)
date added to LUP
2016-04-01 12:20:17
date last changed
2020-01-12 09:39:12
@article{c43045c9-977d-4e1b-94e8-e063d35f52f2,
  abstract     = {The objective of this paper is to theoretically quantify large deflections of chromium nanocantilevers using Euler's theory. We show that, remarkably, Euler's theory originally derived for elastic macroscopic rods made of homogeneous material also describes the bending of nanocantilevers. In addition, the theory yields a precise method to deduce Young's extension modulus of the nanocantilevers. In particular, we find our nanocantilevers to be considerably softer than macroscopic chromium rods.},
  author       = {Søndergaard, Niels and Ghatnekar-Nilsson, Sara and Guhr, Thomas and Montelius, Lars},
  issn         = {0957-4484},
  language     = {eng},
  number       = {25},
  publisher    = {IOP Publishing},
  series       = {Nanotechnology},
  title        = {Understanding mechanical properties of nanostructures using Euler's theory},
  url          = {http://dx.doi.org/10.1088/0957-4484/18/25/255502},
  doi          = {10.1088/0957-4484/18/25/255502},
  volume       = {18},
  year         = {2007},
}