2017
DOI: 10.1177/1687814016686925
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Nonlocal effect in carbon nanotube resonators: A comprehensive review

Abstract: This article provides a comprehensive review about the use of nonlocal theory in modeling of the vibrations of the carbon nanotube resonators. It is fully described how the nonlocal effect has been exploited by researchers to mathematically model vibrations of carbon nanotube resonators. Fusion of different classical beam theories with nonlocal theory is discussed. Also, the article presents the combination of nonlocal models with different physical phenomena which have influence in the vibrations of carbon na… Show more

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Cited by 25 publications
(4 citation statements)
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“…As pointed out in [9], when designing nano-devices incorporating CNT components conveying fluid (liquid or gas), the motion of both the fluid and the tube must be taken into account since the fluid-structure interaction greatly affects the dynamics of the entire mechanical system. Therefore, regardless of whether a particular model of such a mechanical system is based on one or another rod or shell theory, it necessarily takes into account the influence of the fluid flow inside a single-or multi-walled carbon nanotube (MWCNT) and the van der Waals interactions between the individual single-walled carbon nanotubes (SWCNTs) composing a multi-walled one (see, e.g., [15][16][17][18][19][20][21][22][23][24][25][26][27][28]).…”
Section: Introductionmentioning
confidence: 99%
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“…As pointed out in [9], when designing nano-devices incorporating CNT components conveying fluid (liquid or gas), the motion of both the fluid and the tube must be taken into account since the fluid-structure interaction greatly affects the dynamics of the entire mechanical system. Therefore, regardless of whether a particular model of such a mechanical system is based on one or another rod or shell theory, it necessarily takes into account the influence of the fluid flow inside a single-or multi-walled carbon nanotube (MWCNT) and the van der Waals interactions between the individual single-walled carbon nanotubes (SWCNTs) composing a multi-walled one (see, e.g., [15][16][17][18][19][20][21][22][23][24][25][26][27][28]).…”
Section: Introductionmentioning
confidence: 99%
“…It is beyond the scope of the current article to review the models accounting for the effects of nonlocal elasticity. For a more detailed discussion of models of this type used in fluid-conveying CNTs, the interested reader is referred to the recent review [28].…”
Section: Introductionmentioning
confidence: 99%
“…Though any mechanical analysis of carbon nanomaterials can be simulated by the atomistic modeling techniques, due to the huge computational tasks, practical execution of the atomistic modeling techniques is often limited to atomistic models with a relatively small number of carbon atoms and a relatively short-lived phenomenon. The second is continuum mechanical modeling approaches, such as beam and shell models of carbon nanomaterials (e.g., [ 80 , 81 , 82 , 83 ]), where the appropriate evaluation of material properties is very essential.…”
Section: Introductionmentioning
confidence: 99%
“…Solution method is validated by comparing the accuracy of the results with results available in the literature. There have been a number of studies applying Rayleigh-Ritz method to the buckling and vibration of nanotubes (Behera and Chakraverty, 2014;Ghannadpour et al, 2013;Ghannadpour andMohammadi, 2010, 2011) and the method has been covered extensively in the book by Reddy (2002). Variational formulations for the buckling of nonlocal CTNs have been given in a number of cases (Adali, 2008(Adali, , 2012.…”
Section: Introductionmentioning
confidence: 99%