A geometrically nonlinear (3,2) reduced degree-of-freedom unified zigzag laminated beam element for large deformation analysis

DOI10.1016/J.APM.2020.05.017zbMath1481.74450OpenAlexW3033803633MaRDI QIDQ2049784

Tianyu Li

Publication date: 27 August 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.05.017

zbMATH Keywords

finite elementlarge deformationshear stressreduced degree-of-freedomgeometrically nonlinear unified zigzag beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Refined zigzag theory for homogeneous, laminated composite, and sandwich beams derived from Reissner's mixed variational principle
• A seven-parameter spectral/\(hp\) finite element formulation for isotropic, laminated composite and functionally graded shell structures
• Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave Propagation
• Thick beam theory and finite element model with zig-zag sublaminate approximations
• Analysis of thick sandwich construction by a \(\{3,2\}\)-order theory.
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