Free vibration and static analyses of metal-ceramic FG beams via high-order variational MFEM

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dc.contributor.authorMadenci, Emrah
dc.date.accessioned2024-02-23T14:31:24Z
dc.date.available2024-02-23T14:31:24Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractThere is not enough mixed finite element method (MFEM) model developed for static and dynamic analysis of functionally graded material (FGM) beams in the literature. The main purpose of this study is to develop a reliable and efficient computational modeling using an efficient functional in MFEM for free vibration and static analysis of FGM composite beams subject to high order shear deformation effects. The modeling of material properties was performed using mixture rule and Mori-Tanaka scheme which are more realistic determination techniques. This method based on the assumption that a two phase composite material consisting of matrix reinforced by spherical particles, randomly distributed in the beam. To explain the displacement components of the shear deformation effects, it was accepted that the shear deformation effects change sinusoidal. Partial differential field equations were obtained with the help of variational methods and then these equations were transformed into a novel functional for FGM beams with the help of Gateaux differential derivative operator. Thanks to the Gateaux differential method, the compatibility of the field equations was checked, and the field equations and boundary conditions were reflected to the function. A MFEM model was developed with a total of 10 degrees of freedom to apply the obtained functional. In the numerical applications section, free vibration and flexure problems solutions of FGM composite beams were compared with those predicted by other theories to show the effects of shear deformation, thickness changing and boundary conditions.en_US
dc.identifier.doi10.12989/scs.2021.39.5.493
dc.identifier.endpage509en_US
dc.identifier.issn1229-9367
dc.identifier.issn1598-6233
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85107070507en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage493en_US
dc.identifier.urihttps://doi.org/10.12989/scs.2021.39.5.493
dc.identifier.urihttps://hdl.handle.net/20.500.12452/15156
dc.identifier.volume39en_US
dc.identifier.wosWOS:000656803600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTechno-Pressen_US
dc.relation.ispartofSteel And Composite Structuresen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFunctionally Graded Materialen_US
dc.subjectFinite Element Methoden_US
dc.subjectHigh Order Shear Deformation Beam Theoryen_US
dc.subjectFree Vibrationen_US
dc.titleFree vibration and static analyses of metal-ceramic FG beams via high-order variational MFEMen_US
dc.typeArticleen_US

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