Weakly nonlinear wave propagation in nanorods embedded in an elastic medium using nonlocal elasticity theory

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dc.authorscopusid57192307564
dc.authorscopusid57219305242
dc.contributor.authorGaygusuzoğlu, Güler
dc.contributor.authorAkdal, S.
dc.date.accessioned2022-05-11T14:03:06Z
dc.date.available2022-05-11T14:03:06Z
dc.date.issued2020
dc.departmentFakülteler, Çorlu Mühendislik Fakültesi, İnşaat Mühendisliği Bölümü
dc.description.abstractIn the present research, the nonlocal elasticity theory is utilized with the aim of examining nonlinear wave propagation in nanorods, which are embedded in an elastic medium. Constitutive equations on the basis of Eringen’s nonlocal elasticity theory are used in the formulations. Equations of motion are written in terms of material coordinates, and nonlinear equations of nanorods are obtained according to nonlocal elasticity theory. In the study, the rod material is treated as a single-walled carbon nanotube. With the solution of the field equation by the reductive perturbation method, the Korteweg–de Vries (KdV) equation is acquired as the evolution equation, which is governed by the nanorod in an elastic medium. The solitary wave solution of the KdV equation characterizing the motion of carbon nanorods in the elastic medium is given depending on the nonlocal parameter and the parameter of the stiffness of the elastic medium, and it is demonstrated how the nonlocal parameter and the stiffness parameter affect the wave profile. © 2020, The Brazilian Society of Mechanical Sciences and Engineering.
dc.identifier.doi10.1007/s40430-020-02648-0
dc.identifier.issn1678-5878
dc.identifier.issue11en_US
dc.identifier.scopus2-s2.0-85092205090
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s40430-020-02648-0
dc.identifier.urihttps://hdl.handle.net/20.500.11776/4609
dc.identifier.volume42
dc.identifier.wosWOS:000576169000001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorGaygusuzoğlu, Güler
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofJournal of the Brazilian Society of Mechanical Sciences and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCarbon nanotubes
dc.subjectNonlinear wave propagation
dc.subjectNonlocal elasticity theory
dc.subjectReductive perturbation method
dc.subjectConstitutive equations
dc.subjectEquations of motion
dc.subjectNanorods
dc.subjectNonlinear equations
dc.subjectPerturbation techniques
dc.subjectSingle-walled carbon nanotubes (SWCN)
dc.subjectSolitons
dc.subjectStiffness
dc.subjectWave propagation
dc.subjectEvolution equations
dc.subjectMaterial coordinates
dc.subjectNon-local elasticity theories
dc.subjectNonlinear wave propagation
dc.subjectReductive perturbation methods
dc.subjectSoli-tary wave solutions
dc.subjectStiffness parameters
dc.subjectWeakly non-linear
dc.subjectElasticity
dc.titleWeakly nonlinear wave propagation in nanorods embedded in an elastic medium using nonlocal elasticity theory
dc.typeArticle

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