A locking-free nonconforming triangular element for planar elasticity with pure traction boundary condition

DOI10.1016/J.CAM.2009.11.019zbMath1404.74176OpenAlexW2079813097MaRDI QIDQ847255

Yong-Qin Yang, Shao-Chun Chen

Publication date: 12 February 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.019

zbMATH Keywords

finite elementlocking-freeplanar elasticity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Nonconforming finite elements for the equation of planar elasticity ⋮ A stabilized nonconforming Crouzeix–Raviart finite element method for the elasticity eigenvalue problem with the pure traction boundary condition ⋮ The nonconforming virtual element method for elasticity problems

Cites Work

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• Mixed \(hp\) finite element methods for problems in elasticity and Stokes flow
• PEERS: A new mixed finite element for plane elasticity
• Nonconforming Finite Element Methods for the Equations of Linear Elasticity
• Linear Finite Element Methods for Planar Linear Elasticity
• NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE
• Korn's inequalities for piecewise $H^1$ vector fields

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