Two mixed finite element formulations with area bubble functions for tetrahedral elements

DOI10.1016/j.cma.2007.10.007zbMath1169.74619OpenAlexW1989087499MaRDI QIDQ839293

Gottfried Laschet, Ismail Caylak, Rolf Mahnken

Publication date: 1 September 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2007.10.007

zbMATH Keywords

finite elementsmixed formulationarea bubble functions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (12)

Stabilization of mixed tetrahedral elements at large deformations ⋮ Stabilized tetrahedral elements for crystal plasticity finite element analysis overcoming volumetric locking ⋮ A triangular finite element with local remeshing for the large strain analysis of axisymmetric solids ⋮ An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems ⋮ A new mixed finite element based on different approximations of the minors of deformation tensors ⋮ A locking-free stabilized embedded discontinuous Galerkin method for linear elasticity with strong symmetric stress and continuous displacement trace approximation ⋮ A modified least-squares mixed finite element with improved momentum balance ⋮ Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity ⋮ Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements ⋮ Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions ⋮ Geometry update driven by material forces for simulation of brittle crack growth in functionally graded materials ⋮ A finite strain Raviart-Thomas tetrahedron

Uses Software

• ABAQUS

Cites Work

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