Ultrasonic wave characteristics of nanorods via nonlocal strain gradient models

Narendar, S. ; Gopalakrishnan, S. (2010) Ultrasonic wave characteristics of nanorods via nonlocal strain gradient models Journal of Applied Physics, 107 (8). Article ID 084312. ISSN 0021-8979

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Official URL: http://scitation.aip.org/content/aip/journal/jap/1...

Related URL: http://dx.doi.org/10.1063/1.3345869

Abstract

This paper studies an ultrasonic wave dispersion characteristics of a nanorod. Nonlocal strain gradient models (both second and fourth order) are introduced to analyze the ultrasonic wave behavior in nanorod. Explicit expressions are derived for wave numbers and the wave speeds of the nanorod. The analysis shows that the fourth order strain gradient model gives approximate results over the second order strain gradient model for dynamic analysis. The second order strain gradient model gives a critical wave number at certain wave frequency, where the wave speeds are zero. A relation among the number of waves along the nanorod, the nonlocal scaling parameter (e0a), and the length of the nanorod is obtained from the nonlocal second order strain gradient model. The ultrasonic wave characteristics of the nanorod obtained from the nonlocal strain gradient models are compared with the classical continuum model. The dynamic response behavior of nanorods is explained from both the strain gradient models. The effect of e0a on the ultrasonic wave behavior of the nanorods is also observed.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
ID Code:99079
Deposited On:03 Sep 2015 04:41
Last Modified:03 Sep 2015 04:41

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