KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Civil Engineering / 2023 / Cilt: 34 - Sayı: 1

Stress Analysis of Laminated HSDT Beams Considering Bending Extension Coupling

Yonca BAB
Akif KUTLU
Sayfa
1–23
Yayın Tarihi
2023-01-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The validation of current study is performed by comparison and convergence analyzes for various lamination cases under different boundary conditions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This study demonstrates a mixed finite element formulation procedure for the bending and stress analyses of laminated composite beams.
📊
Temel Bulgular & Veri:The finite element method is based on the Hellinger-Reissner variational principle, while the beam assumptions are based on the Higher Order Shear Deformation Theory (HSDT).
💡
Sonuç & Katkı:The validation of current study is performed by comparison and convergence analyzes for various lamination cases under different boundary conditions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Higher Order theory · laminated composite beam · Hellinger-Reissner

Özet

This study demonstrates a mixed finite element formulation procedure for the bending and stress analyses of laminated composite beams. The finite element method is based on the Hellinger-Reissner variational principle, while the beam assumptions are based on the Higher Order Shear Deformation Theory (HSDT). Reddy’s shear function is employed for the beam theory where the beam is discretized by two-noded linear elements. The displacements and stress resultants are obtained directly at the nodes according to the proposed mixed formulation. The validation of current study is performed by comparison and convergence analyzes for various lamination cases under different boundary conditions.

Abstract

This study demonstrates a mixed finite element formulation procedure for the bending and stress analyses of laminated composite beams. The finite element method is based on the Hellinger-Reissner variational principle, while the beam assumptions are based on the Higher Order Shear Deformation Theory (HSDT). Reddy’s shear function is employed for the beam theory where the beam is discretized by two-noded linear elements. The displacements and stress resultants are obtained directly at the nodes according to the proposed mixed formulation. The validation of current study is performed by comparison and convergence analyzes for various lamination cases under different boundary conditions.

🔖

Bu Makaleye Atıf Yap

BAB, Y., KUTLU, A. (2023). Stress Analysis of Laminated HSDT Beams Considering Bending Extension Coupling. Turkish Journal of Civil Engineering, Cilt: 34 - Sayı: 1, 1–23. https://ajindex.com/articles/864070

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (11)

  1. V.V. Vasiliev, E.V. Morozov, Advanced Mechanics of Composite Materials and Structural Elements, Elsevier, London, UNITED KINGDOM, 2013. http://ebookcentral.proquest.com/lib/itup/detail.action?docID=1221537 (accessed April 9, 2021).
  2. İ. Çömez, U.N. Aribas, A. Kutlu, M.H. Omurtag, An Exact Elasticity Solution for Monoclinic Functionally Graded Beams, Arab J Sci Eng. 46 (2021) 5135–5155. https://doi.org/10.1007/s13369-021-05434-9.
  3. 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.
  4. 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.
  5. L. Euler, Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, apud Marcum-Michaelem Bousquet, 1744. J. Bernoulli, Curvatura laminae elasticae, Acta Eruditorum Lipsiae. 1694 (1964) 262–276.
  6. B.A. Boley, On the Accuracy of the Bernoulli-Euler Theory for Beams of Variable Section, Journal of Applied Mechanics. 30 (1963) 373–378. https://doi.org/10.1115/1.3636564.
  7. A.H. Modaress-Aval, F. Bakhtiari-Nejad, E.H. Dowell, H. Shahverdi, H. Rostami, D.A. Peters, Aeroelastic analysis of cantilever plates using Peters’ aerodynamic model, and the influence of choosing beam or plate theories as the structural model, Journal of Fluids and Structures. 96 (2020) 103010. https://doi.org/10.1016/j.jfluidstructs.2020.103010.
  8. S.P. Timoshenko, LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars, (1921) 3. W. Wagner, F. Gruttmann, A displacement method for the analysis of flexural shear stresses in thin-walled isotropic composite beams, Computers & Structures. 80 (2002) 1843–1851. https://doi.org/10.1016/S0045-7949(02)00223-7.
  9. U. Lee, I. Jang, Spectral element model for axially loaded bending–shear–torsion coupled composite Timoshenko beams, Composite Structures. 92 (2010) 2860–2870. https://doi.org/10.1016/j.compstruct.2010.04.012.
  10. J.N. Reddy, A simple higher-order theory for laminated composite plates, Journal of Applied Mechanics. 51 (1984) 745–752. https://doi.org/10.1115/1.3167719.
  11. E. Reissner, On transverse bending of plates, including the effect of transverse shear deformation, International Journal of Solids and Structures. 11 (1974) 569–573. K.P. So