Flexural analysis of functionally graded sandwich plates with a novel mixed finite element formulation using quasi-3d higher order shear deformation theory
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Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This research focuses on the modeling and analysis of Functionally Graded (FG) plates featuring a sandwich core, utilizing a generalized Higher-Order Shear Deformation Theory (HSDT) that accounts for transverse stretching effects. This framework proposed facilitates the customization of different shear functions specifically designed for functionally graded materials (FGMs), thereby ensuring the inclusion of thickness stretching considerations (epsilon z not equal 0). The governing equations are derived through the application of the Hellinger-Reissner variational principle, which guarantees the stationarity of the functional. As a result, a finite element (FE) formulation is developed, incorporating two separate field variables: displacements and stress resultants. To discretize the domain of the FG plate, four-node quadrilateral elements are utilized. Initially, the functional necessitated C1 continuity; however, by employing the two-field characteristic of the mixed finite element (MFE) approach, integration by parts is utilized, which effectively reduces the C0 continuity requirement. This approach successfully captures the nonlinear and parabolic distribution of transverse shear stresses in FG sandwich plates (FGSPs). Within the use of various shear functions, the outcomes remain theoretically aligned with elasticity-based solutions and the proposed HSDT model. Furthermore, the inclusion of transverse stretching markedly improves the accuracy of bending behavior predictions for FGSPs when compared to traditional theories.
Açıklama
Anahtar Kelimeler
flexural analysis, functionally graded, hellinger reissner, higher order shear deformation theory, mixed finite element formulation, sandwich, Stretching effect
Kaynak
Mechanics of Advanced Materials and Structures
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Kanığ, D. (2025). Flexural analysis of functionally graded sandwich plates with a novel mixed finite element formulation using quasi-3d higher order shear deformation theory. Mechanics of Advanced Materials and Structures, 1-22.
