Numerical analysis of a locking‐free mixed finite element method for a bending moment formulation of Reissner‐Mindlin plate model

DOI10.1002/num.21698zbMath1294.74061OpenAlexW2102333302MaRDI QIDQ4903208

Rodolfo Rodríguez, Lourenco Beirão da Veiga, David Mora

Publication date: 21 January 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/127145

zbMATH Keywords

error analysisHellinger-Reissner principleshear stresshybridization procedurelocal postprocessing

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Locking-free finite element method for a bending moment formulation of Timoshenko beams ⋮ The TDNNS method for Reissner-Mindlin plates ⋮ A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates ⋮ A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations ⋮ Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model ⋮ Mixed displacement-rotation-pressure formulations for linear elasticity ⋮ A locking-free DPG scheme for Timoshenko beams ⋮ An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation ⋮ Finite element analysis of a bending moment formulation for the vibration problem of a non-homogeneous Timoshenko beam

Cites Work

• A new family of mixed methods for the Reissner-Mindlin plate model based on a system of first-order equations
• On the stability of BDMS and PEERS elements
• Nonconforming locking-free finite elements for Reissner-Mindlin plates
• Reduced symmetry elements in linear elasticity
• A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
• A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
• Mixed finite element methods for linear elasticity with weakly imposed symmetry
• Finite Element Methods for Navier-Stokes Equations
• PEERS: A new mixed finite element for plane elasticity
• Mixed and Hybrid Finite Element Methods
• On Mixed Finite Element Methods for the Reissner-Mindlin Plate Model
• New Locking-Free Mixed Method for the Reissner--Mindlin Thin Plate Model

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