Transverse wave propagation analysis in single-walled and double-walled carbon nanotubes via higher-order doublet mechanics theory
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present study, transverse wave propagation in single-walled and double-walled carbon nanotubes is investigated based on doublet mechanics theory. The Euler-Bernoulli and Timoshenko beam theories are considered to study the wave dispersion relations of single-walled and double-walled carbon nanotubes (CNTs) with the set of relevant governing equations are achieved by use of the variational Hamilton's principle. Obtained governing equations are presented for zigzag and armchair CNT models. Using these models, scale dependent wave frequency, phase velocity and group velocity of CNTs are obtained. It has been observed that doublet mechanics results have so called van Hove singularity. This property is the first seen among the scale-dependent continuum theories. The effectiveness and validity of the present method are approved by comparing the predicted numerical results with molecular dynamics simulation and nonlocal Timoshenko beam theory. An excellent validation is obtained between the doublet mechanics based on Timoshenko beam theory and molecular dynamics simulation for phase velocities of (5,5) and (10,10) armchair single-walled CNTs. Also, this work clarifies the importance of the length scale effect on transverse wave dispersion in multi-walled CNTs.
Açıklama
Anahtar Kelimeler
Timoshenko Beam Theory, Doublet Mechanics, Wave Propagation, Double-Walled Carbon Nanotubes, Scale Effect, Critical Buckling Load, Natural Frequencies, Strain Gradient, Nonlocal Elasticity, Shear Deformation, Flexural Waves, Free-Vibration, Small-Scale, Dispersion, Models
Kaynak
Waves In Random And Complex Media
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
