Higher order nonlocal strain gradient approach for wave characteristics of carbon nanorod

Abstract

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.

Wave propagation in fluid‐conveying nanotubes under multi‐physical fields based on non‐local higher‐order strain gradient model

“…Mohammad and Moslem [16] conducted the vibration and instability analyses of nanotubes conveying fluid subjected to a longitudinal magnetic field. Yakaiah and Rao [17] investigated the wave dispersion characteristics of a carbon nanorod through second, fourth, sixth, and eighth-order non-local strain gradient models. For the beam theories, the Euler-Bernoulli beam theory and Timoshenko beam theory are widely utilised in the analyses of mechanical properties of CNTs [18][19][20][21][22][23][24][25][26].…”