Araştırma Makalesi

Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells

Cilt: 36 Sayı: 1 1 Ocak 2025
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Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells

Öz

This paper presents a mixed finite element (MFE) formulation for studying the linear static behavior of both thin and relatively thick laminated composite cylindrical and spherical shells. The method employs the Higher Order Shear Deformation Theory to account for cross-section warping due to transverse shear stress. It ensures the stationarity of the system's functional using the Hellinger-Reissner principle. Finite element discretization is accomplished with four-noded quadrilateral two-dimensional elements. The MFE formulation offers the advantage of directly obtaining displacements and stress resultants at the nodes. Comparison and convergence analyses are performed considering various shear functions, boundary conditions, and geometrical configurations.

Anahtar Kelimeler

Kaynakça

  1. M. Dorduncu, Peridynamic modeling of delaminations in laminated composite beams using refined zigzag theory, Theoretical and Applied Fracture Mechanics 112 (2021) 102832. https://doi.org/10.1016/j.tafmec.2020.102832.
  2. M. Dorduncu, Stress analysis of laminated composite beams using refined zigzag theory and peridynamic differential operator, Composite Structures 218 (2019) 193–203. https://doi.org/10.1016/j.compstruct.2019.03.035.
  3. J.N. Reddy, K. Chandrashekhara, Geometrically non-linear transient analysis of laminated, doubly curved shells, International Journal of Non-Linear Mechanics 20 (1985) 79–90. https://doi.org/10.1016/0020-7462(85)90002-2.
  4. S.J. Hossain, P.K. Sinha, A.H. Sheikh, A finite element formulation for the analysis of laminated composite shells, Computers & Structures 82 (2004) 1623–1638. https://doi.org/10.1016/j.compstruc.2004.05.004.
  5. E. Asadi, M.S. Qatu, Static analysis of thick laminated shells with different boundary conditions using GDQ, Thin-Walled Structures 51 (2012) 76–81. https://doi.org/10.1016/j.tws.2011.11.004.
  6. A.A. Khdeir, Comparative dynamic and static studies for cross-ply shells based on a deep thick shell theory, IJVNV 7 (2011) 306. https://doi.org/10.1504/IJVNV.2011.043192.
  7. S.M. Mousavi, M. Aghdam, Static bending analysis of laminated cylindrical panels with various boundary conditions using the differential cubature method, J. Mech. Mater. Struct. 4 (2009) 509–521. https://doi.org/10.2140/jomms.2009.4.509.
  8. B. Sobhaniaragh, R.C. Batra, W.J. Mansur, F.C. Peters, Thermal response of ceramic matrix nanocomposite cylindrical shells using Eshelby-Mori-Tanaka homogenization scheme, Composites Part B: Engineering 118 (2017) 41–53. https://doi.org/10.1016/j.compositesb.2017.02.032.

Ayrıntılar

Birincil Dil

İngilizce

Konular

İnşaat Mühendisliğinde Sayısal Modelleme, İnşaat Mühendisliğinde Zemin Mekaniği, Yapı Mühendisliği, İnşaat Mühendisliği (Diğer)

Bölüm

Araştırma Makalesi

Erken Görünüm Tarihi

29 Temmuz 2024

Yayımlanma Tarihi

1 Ocak 2025

Gönderilme Tarihi

27 Kasım 2023

Kabul Tarihi

19 Temmuz 2024

Yayımlandığı Sayı

Yıl 2025 Cilt: 36 Sayı: 1

Kaynak Göster

APA
Bab, Y., & Kutlu, A. (2025). Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells. Turkish Journal of Civil Engineering, 36(1), 51-74. https://doi.org/10.18400/tjce.1396909
AMA
1.Bab Y, Kutlu A. Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells. tjce. 2025;36(1):51-74. doi:10.18400/tjce.1396909
Chicago
Bab, Yonca, ve Akif Kutlu. 2025. “Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells”. Turkish Journal of Civil Engineering 36 (1): 51-74. https://doi.org/10.18400/tjce.1396909.
EndNote
Bab Y, Kutlu A (01 Ocak 2025) Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells. Turkish Journal of Civil Engineering 36 1 51–74.
IEEE
[1]Y. Bab ve A. Kutlu, “Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells”, tjce, c. 36, sy 1, ss. 51–74, Oca. 2025, doi: 10.18400/tjce.1396909.
ISNAD
Bab, Yonca - Kutlu, Akif. “Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells”. Turkish Journal of Civil Engineering 36/1 (01 Ocak 2025): 51-74. https://doi.org/10.18400/tjce.1396909.
JAMA
1.Bab Y, Kutlu A. Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells. tjce. 2025;36:51–74.
MLA
Bab, Yonca, ve Akif Kutlu. “Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells”. Turkish Journal of Civil Engineering, c. 36, sy 1, Ocak 2025, ss. 51-74, doi:10.18400/tjce.1396909.
Vancouver
1.Yonca Bab, Akif Kutlu. Mixed Finite Elements for Higher-order Laminated Cylindrical and Spherical Shells. tjce. 01 Ocak 2025;36(1):51-74. doi:10.18400/tjce.1396909

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