An advanced mixed finite element formulation for flexural analysis of laminated composite plates incorporating HSDT and transverse stretching effect

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dc.authoridhttps://orcid.org/0009-0001-3915-0589
dc.contributor.authorKanığ, Doğan
dc.contributor.authorKutlu, Akif
dc.date.accessioned2025-03-18T10:46:43Z
dc.date.available2025-03-18T10:46:43Z
dc.date.issued2025
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliği Bölümü
dc.description.abstractThe modeling and analysis of laminated composite plates are performed using a unified Higher Order Shear Deformation Theory (HSDT) that accounts for transverse stretching effect. The adopted unified HSDT formulation allows the implementation of various shear functions. To derive a weak form from the generalized displacement fields of HSDTs, a variational principle is applied within a two-field mixed approach. The stationarity of the functional for laminated plate structures is obtained through the application of the Hellinger-Reissner variational principle. Hence, displacements and stress resultants, namely two independent fields, are included in finite element equations. Four-noded, quadrilateral elements are employed for the discretization of the plate's domain. While the generated functional initially had C1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C<^>{1}$$\end{document} continuity, benefiting from the two-fields property of the mixed finite element formulation, integration by parts is performed that results with a functional requiring only C0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C<^>{0}$$\end{document} continuity. To effectively capture the nonlinear and parabolic variation of transverse shear stress, it is determined that even with varying functions, the results are theoretically consistent with the elasticity method and the employed HSDT model. Also, when compared to the theories that are already accessible in the literature, for the bending behavior of composite plates, incorporating the stretching effect converges the exact results for laminated composite plates more than the studies where that effect is neglected.
dc.identifier.citationKanığ, D., & Kutlu, A. (2025). An advanced mixed finite element formulation for flexural analysis of laminated composite plates incorporating HSDT and transverse stretching effect. Archive of Applied Mechanics, 95(2), 1-24.
dc.identifier.doi10.1007/s00419-024-02735-x
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue2
dc.identifier.urihttps://hdl.handle.net/20.500.12939/5725
dc.identifier.volume95
dc.identifier.wosWOS:001409631900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.institutionauthorKanığ, Doğan
dc.institutionauthoridhttps://orcid.org/0009-0001-3915-0589
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofArchive of Applied Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectStretching effect
dc.subjectHigher order shear theory
dc.subjectComposite structures
dc.subjectHellinger Reissner
dc.subjectMixed finite element formulation
dc.subjectStatic analysis
dc.titleAn advanced mixed finite element formulation for flexural analysis of laminated composite plates incorporating HSDT and transverse stretching effect
dc.typeArticle

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