A shear deformable numerical approaches for the static analysis of bi-directional functionally graded beams

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dc.authorid0000-0002-5703-0580
dc.contributor.authorTuran, Muhittin
dc.contributor.authorKahya, Volkan
dc.contributor.authorYaylaci, Ecren Uzun
dc.contributor.authorYaylaci, Murat
dc.date.accessioned2026-02-28T12:18:08Z
dc.date.available2026-02-28T12:18:08Z
dc.date.issued2025
dc.departmentBayburt Üniversitesi
dc.description.abstractThis paper introduces a highly accurate and computationally efficient shear deformable finite element model for the static analysis of bi-directional functionally graded beams (BD-FGBs) with various boundary conditions grounded in the first- order shear deformation theory (FSDT). The model, featuring ten degrees of freedom across five nodes, excels in capturing both axial and shear deformations with remarkable precision while maintaining a streamlined formulation. In a novel approach, Artificial Neural Network (ANN) methods are also employed alongside the finite element analysis, offering a dual-method investigation into the static behavior of BD-FGBs. This paper aims to further advance the understanding of BD-FGM beams by exploring their static behavior under diverse loading conditions and boundary constraints, employing advanced finite element methods and artificial neural network techniques. The material properties are modeled through power-law distributions, and the governing equations are derived from Lagrange's principle. Displacements and stresses were computed under different boundary conditions (BCs), slenderness ratios (L/h), and power-law indices (px, pz). Comparative analysis with existing literature reveals the superior suitability of the proposed finite element model for static analysis, while the ANN approach further reinforces its potential as a robust, complementary tool. The innovative combination of these methods promises to offer significant contributions to the field and provides new insights into the behavior of BD-FGBs under static loads.
dc.identifier.doi10.12989/anr.2025.18.2.143
dc.identifier.endpage162
dc.identifier.issn2287-237X
dc.identifier.issn2287-2388
dc.identifier.issue2
dc.identifier.scopus2-s2.0-86000357331
dc.identifier.scopusqualityQ1
dc.identifier.startpage143
dc.identifier.urihttps://doi.org/10.12989/anr.2025.18.2.143
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6112
dc.identifier.volume18
dc.identifier.wosWOS:001438038600004
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTechno-Press
dc.relation.ispartofAdvances in Nano Research
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260218
dc.subjectbi-directional FGBs
dc.subjectfinite element
dc.subjectFSDT
dc.subjectpower-law rule
dc.subjectstatic analysis
dc.titleA shear deformable numerical approaches for the static analysis of bi-directional functionally graded beams
dc.typeArticle

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