A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity
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Publication:1986299
DOI10.1016/j.cma.2018.06.001zbMath1440.74447OpenAlexW2809164595WikidataQ129627831 ScholiaQ129627831MaRDI QIDQ1986299
Nils Viebahn, Karl Steeger, Jörg Schröder
Publication date: 8 April 2020
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.2018.06.001
lockingincompressible elasticityHellinger-Reissnermixed finite element formulationsnumerical inf-sup test
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (5)
Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics ⋮ A mixed finite element formulation for elastoplasticity ⋮ Hellinger-Reissner variational principle for a class of specified stress problems ⋮ Natural frequency analysis of shells of revolution based on hybrid dual-mixed \(hp\)-finite element formulation ⋮ A finite strain Raviart-Thomas tetrahedron
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computational bases for \(RT_k\) and \(BDM_k\) on triangles
- Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods
- A family of higher order mixed finite element methods for plane elasticity
- Least-squares finite element methods
- On the construction of optimal mixed finite element methods for the linear elasticity problem
- A stable finite element for the Stokes equations
- Two classes of mixed finite element methods
- A family of mixed finite elements for the elasticity problem
- A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation
- Some equilibrium finite element methods for two-dimensional elasticity problems
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- A physically nonlinear dual mixed finite element formulation
- A remark on finite element schemes for nearly incompressible elasticity
- On numerically accurate finite element solutions in the fully plastic range
- Mixed finite elements for elasticity
- A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element
- Conditions for equivalence between the Hu-Washizu and related formulations, and computational behavior in the incompressible limit
- Explicit construction of computational bases for \(\mathrm{RT}_k\) and \(\mathrm{BDM}_k\) spaces in \(\mathbb R^3\)
- A mixed finite element method for elasticity in three dimensions
- An analysis of some mixed-enhanced finite element for plane linear elasticity
- Convergence in the incompressible limit of finite element approximations based on the Hu-Washizu formulation
- Reduced symmetry elements in linear elasticity
- Least-Squares Mixed Finite Element Formulations for Isotropic and Anisotropic Elasticity at Small and Large Strains
- TANGENTIAL-DISPLACEMENT AND NORMAL–NORMAL-STRESS CONTINUOUS MIXED FINITE ELEMENTS FOR ELASTICITY
- The inf-sup test
- An adaptive least squares mixed finite element method for the stress-displacement formulation of linear elasticity
- Rational approach for assumed stress finite elements
- Finite elements for symmetric tensors in three dimensions
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- Relations between incompatible displacement model and hybrid stress model
- PEERS: A new mixed finite element for plane elasticity
- The mixed finite element method in plane elasticity
- Generalization of selective integration procedures to anisotropic and nonlinear media
- Mixed and Hybrid Finite Element Methods
- MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES
- First-Order System Least Squares for the Stress-Displacement Formulation: Linear Elasticity
- Least-Squares Methods for Linear Elasticity
- The patch test for mixed formulations
- A FOUR-NODE QUADRILATERAL MIXED-INTERPOLATED ELEMENT FOR SOLIDS AND FLUIDS
- Mixed Finite Element Methods and Applications
- A class of mixed assumed strain methods and the method of incompatible modes
- Reduced integration technique in general analysis of plates and shells
- On a Variational Theorem in Elasticity
- ON THE BOUNDS OF EIGENVALUES
- Finite elements. Theory, fast solvers and applications in elasticity theory
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