Transverse wave propagation analysis in single-walled and double-walled carbon nanotubes via higher-order doublet mechanics theory

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dc.authoridAYDOGDU, METIN/0000-0003-4567-2532
dc.contributor.authorGul, Ufuk
dc.contributor.authorAydogdu, Metin
dc.date.accessioned2024-06-12T11:16:27Z
dc.date.available2024-06-12T11:16:27Z
dc.date.issued2021
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn 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.en_US
dc.identifier.doi10.1080/17455030.2021.1959085
dc.identifier.issn1745-5030
dc.identifier.issn1745-5049
dc.identifier.scopus2-s2.0-85111934045en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1080/17455030.2021.1959085
dc.identifier.urihttps://hdl.handle.net/20.500.14551/24314
dc.identifier.wosWOS:000680257300001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofWaves In Random And Complex Mediaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTimoshenko Beam Theoryen_US
dc.subjectDoublet Mechanicsen_US
dc.subjectWave Propagationen_US
dc.subjectDouble-Walled Carbon Nanotubesen_US
dc.subjectScale Effecten_US
dc.subjectCritical Buckling Loaden_US
dc.subjectNatural Frequenciesen_US
dc.subjectStrain Gradienten_US
dc.subjectNonlocal Elasticityen_US
dc.subjectShear Deformationen_US
dc.subjectFlexural Wavesen_US
dc.subjectFree-Vibrationen_US
dc.subjectSmall-Scaleen_US
dc.subjectDispersionen_US
dc.subjectModelsen_US
dc.titleTransverse wave propagation analysis in single-walled and double-walled carbon nanotubes via higher-order doublet mechanics theoryen_US
dc.typeArticleen_US

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