Finite elements for Mindlin and Kirchhoff plates based on a mixed variational principle

DOI10.1002/nme.6807zbMATH Open1548.74362MaRDI QIDQ6554026

Ziad M. Elias

Publication date: 12 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

shear deformationfinite elementsplate bendingmixed variational principleMindlin

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• A hierarchic family of isogeometric shell finite elements
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Exact mixed-classical solutions for the bending analysis of shear deformable rectangular plates.
• Thick Lévy plates re-visited
• Developments of Mindlin-Reissner plate elements
• Hierarchic isogeometric large rotation shell elements including linearized transverse shear parametrization
• Shear-flexible subdivision shells
• Hybrid displacement function element method: a simple hybrid-Trefftz stress element method for analysis of Mindlin-Reissner plate
• Specifications of boundary conditions for Reissner/Mindlin plate bending finite elements
• Refined quadrilateral element based on Mindlin/Reissner plate theory
• A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS
• On a Variational Theorem in Elasticity
• On the Theory of Bending of Elastic Plates

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