Advances in finite element modelling of graphene and associated nanostructures

Y Chandra, S Adhikari, EIS Flores - Materials Science and Engineering …, 2020 - Elsevier
Graphene and its associated nanostructures (GANS) have been widely investigated by
means of experimental and numerical approaches over the last decade. GANS and GANS …

[HTML][HTML] Influences of longitudinal magnetic field on wave propagation in carbon nanotubes embedded in elastic matrix

H Wang, K Dong, F Men, YJ Yan, X Wang - Applied Mathematical Modelling, 2010 - Elsevier
This paper reported the result of an investigation into the effect of magnetic field on wave
propagation in carbon nanotubes (CNTs) embedded in elastic matrix. Dynamic equations of …

[HTML][HTML] Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation

M Dehghan, M Abbaszadeh, A Mohebbi - Applied Mathematical Modelling, 2016 - Elsevier
In this paper, an efficient numerical method is proposed for the solution of time fractional
modified anomalous sub-diffusion equation. The proposed method is based on a finite …

Analysis of wave propagation in carbon nanotubes via elastic shell theories

KM Liew, Q Wang - International Journal of Engineering Science, 2007 - Elsevier
This paper investigates wave propagation in both single-walled carbon nanotubes (SWNTs)
and double-walled carbon nanotubes (DWNTs) via two developed elastic shell theories …

Nonlocal scale effects on wave propagation in multi-walled carbon nanotubes

S Narendar, S Gopalakrishnan - Computational Materials Science, 2009 - Elsevier
This paper represents the effect of nonlocal scale parameter on the wave propagation in
multi-walled carbon nanotubes (MWCNTs). Each wall of the MWCNT is modeled as first …

[HTML][HTML] Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements

KG Vinod, S Gopalakrishnan, R Ganguli - International Journal of Solids …, 2007 - Elsevier
This paper presents a formulation of an approximate spectral element for uniform and
tapered rotating Euler–Bernoulli beams. The formulation takes into account the varying …

[图书][B] Wavelet methods for dynamical problems: with application to metallic, composite, and nano-composite structures

S Gopalakrishnan, M Mitra - 2010 - taylorfrancis.com
Employs a Step-by-Step Modular Approach to Structural ModelingConsidering that wavelet
transforms have also proved useful in the solution and analysis of engineering mechanics …

Variational principles for transversely vibrating multiwalled carbon nanotubes based on nonlocal Euler− Bernoulli beam model

S Adali - Nano letters, 2009 - ACS Publications
Variational principles are derived for multiwalled carbon nanotubes undergoing vibrations.
Derivations are based on the continuum modeling with the Euler− Bernoulli beam …

A numerical solution strategy based on error analysis for time-fractional mobile/immobile transport model

M Fardi, M Ghasemi - Soft Computing, 2021 - Springer
This paper discusses a finite difference/spectral method for numerical solving of fractal
mobile/immobile transport (FM/IT) models based on Caputo fractional derivative (C-FD). The …

Free transverse vibration of an axially loaded non-prismatic single-walled carbon nanotube embedded in a two-parameter elastic medium

KB Mustapha, ZW Zhong - Computational Materials Science, 2010 - Elsevier
The free vibration analysis of a single-walled carbon nanotube (SWCNT) is a requisite
analysis for the optimal design of nanolevel devices and systems. However, the natural …