A comprehensive mechanical response and dynamic stability analysis of elastically restrained bi-directional functionally graded porous microbeams in the thermal environment via mixed finite elements

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dc.authorid0000-0002-8847-0087en_US
dc.authorid0000-0003-4495-3674en_US
dc.contributor.authorMollamahmutoğlu, Çağrı
dc.contributor.authorMercan, Ali
dc.contributor.authorLevent, Aykut
dc.date.accessioned2023-08-16T10:42:48Z
dc.date.available2023-08-16T10:42:48Z
dc.date.issued2022en_US
dc.departmentBAİBÜ, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.description.abstractWith the development of material science and technology, the usage area of microstructures has increased. Microbeams, which are the most common components of these, have attracted the attention of many researchers. A lot of research has been done on free vibration, buckling and dynamic stability behavior for microbeams. In this study, Mixed Finite Element Method (MFEM) is used. Here, free vibration, buckling and dynamic stability analysis are performed for the Timoshenko type elastically restrained bi-directional functionally graded porous microbeams in the thermal environment. In the calculation procedure, microscale effects are based on Modified Couple Stress Theory and Hamilton Principle is used to obtain the governing equations. A functional including field equations and boundary conditions (BCs) are obtained by using the Gateaux differential. One of the important advantages of MFEM is the use of C-0 type shape functions. Another major advantage is that shear locking is not observed with this method. In addition, the formulation allows closed-form integration through the sparse structure of element matrix. The reliability and accuracy of MFEM were demonstrated by comparing the results with the results of the Differential Quadrature Method from the literature for different BCs. In this work, the effects of Winkler and Pasternak elastic foundation parameters (K-w and K-p), AFG and FG power indexes (Px and Pz), thermal environment (Delta T) and partially or fully porosity (ss) were investigated. Finally, mechanical response due to the microscale structure of the problem can be directly obtained without additional processing. Examples related with inhomogeneities related with porosity were given as versatility as well.en_US
dc.identifier.citationMollamahmutoğlu, Ç., Mercan, A., & Levent, A. (2022). A comprehensive mechanical response and dynamic stability analysis of elastically restrained bi-directional functionally graded porous microbeams in the thermal environment via mixed finite elements. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 44(8), 333.en_US
dc.identifier.doi10.1007/s40430-022-03616-6
dc.identifier.endpage19en_US
dc.identifier.issn1678-5878
dc.identifier.issn1806-3691
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85134067371en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s40430-022-03616-6
dc.identifier.urihttps://hdl.handle.net/20.500.12491/11548
dc.identifier.volume44en_US
dc.identifier.wosWOS:000824925500001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorMercan, Ali
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofJournal of the Brazilian Society of Mechanical Sciences and Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBi-Directional Functionally Gradeden_US
dc.subjectDynamic Stabilityen_US
dc.subjectMixed Finite Element Methoden_US
dc.subjectGateaux Derivativeen_US
dc.subjectPorosityen_US
dc.subjectMicrobeamsen_US
dc.titleA comprehensive mechanical response and dynamic stability analysis of elastically restrained bi-directional functionally graded porous microbeams in the thermal environment via mixed finite elementsen_US
dc.typeArticleen_US

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