Higher order nonlocal strain gradient approach for wave characteristics of carbon nanorod
Articles
Bolledla Yakaiah
Varadha Reddy College of Engineering; Kakatiya Institute of Technology and Science, India
Apparasu Srihari Rao
Varadha Reddy College of Engineering; Kakatiya Institute of Technology and Science, India
Published 2014-10-30
https://doi.org/10.15388/NA.2014.4.10
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Keywords

nonlocal elasticity
nanorod
wave propagation
critical wave number

How to Cite

Yakaiah B. and Rao A. S. (2014) “Higher order nonlocal strain gradient approach for wave characteristics of carbon nanorod”, Nonlinear Analysis: Modelling and Control, 19(4), pp. 660-668. doi: 10.15388/NA.2014.4.10.

Abstract

In this paper an attempt is made to study the wave dispersion characteristics of a carbon nanorod through second, fourth, sixth and eighth order nonlocal strain gradient models. Expressions are derived for both wave number and wave speeds of the nanorod. The wave characteristics of the nanorod obtained from the nonlocal strain gradient models are compared with the classical continuum model. From these models it is observed that sixth order strain gradient model gives the better approximation than the second and fourth order strain gradient models for dynamic analysis. The second and sixth order strain gradient models gave critical wave number at a certain wave frequency, which does not exist in fourth and eight order strain gradient models.

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