Free vibration and buckling stability of FG nanobeams exposed to magnetic and thermal fields

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dc.authoridEsen, Ismail/0000-0002-7853-1464
dc.authoridEltaher, Mohamed A./0000-0003-3116-2101
dc.authoridAbdelrahman, Alaa Ahmed/0000-0003-4006-743X
dc.contributor.authorEsen, Ismail
dc.contributor.authorAbdelrhmaan, Alaa A.
dc.contributor.authorEltaher, Mohamed A.
dc.date.accessioned2024-09-29T15:51:03Z
dc.date.available2024-09-29T15:51:03Z
dc.date.issued2022
dc.departmentKarabük Üniversitesien_US
dc.description.abstractDue to the increasing usage of nanostructures in nanotechnology and nanodevice, the following article aims to investigate the free vibration and buckling behaviours of a Timoshenko functionally graded nanobeam under to thermal and magnetic environment. The nanoscale and microstructure effects of FG nanobeam are included to classical mechanics using nonlocal strain gradient theory. The gradation of material properties throughout the beam thickness is described by power-law function. The material properties are assumed to be temperature dependent. Considering the thermal and Lorentz forces, the equations of motion of the functionally graded Timoshenko nanobeam are obtained using the strain gradient and nonlocal elasticity theories. The transverse Lorentz force induced by the horizontal magnetic field vector is derived using Maxwell's equations. External compressive axial and transverse point loads are included in the formulation and the motion equations are solved using a Navier-type approach. The effects nonlocal size scale, and strain gradient microstructure influence, thermal loadings and magnetic field intensities on the free vibration, transverse bending and buckling behaviours of the functionally graded nanobeam are presented. The following model can be used as benchmark to analyse the nanobeam structure under thermomagnetic field using a finite element or any other numerical method.en_US
dc.identifier.doi10.1007/s00366-021-01389-5
dc.identifier.endpage3482en_US
dc.identifier.issn0177-0667
dc.identifier.issn1435-5663
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85132722165en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage3463en_US
dc.identifier.urihttps://doi.org/10.1007/s00366-021-01389-5
dc.identifier.urihttps://hdl.handle.net/20.500.14619/3863
dc.identifier.volume38en_US
dc.identifier.wosWOS:000641191900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofEngineering With Computersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSize-dependent and microstructure effectsen_US
dc.subjectMagnetic fielden_US
dc.subjectThermal loadingen_US
dc.subjectFunctionally graded materialsen_US
dc.subjectTimoshenko nanobeamen_US
dc.titleFree vibration and buckling stability of FG nanobeams exposed to magnetic and thermal fieldsen_US
dc.typeArticleen_US

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