Improving stability and accuracy of Reissner--Mindlin plate finite elements via algebraic subgrid scale stabilization
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Publication:704559
DOI10.1016/j.cma.2003.12.036zbMath1079.74633OpenAlexW2016695971MaRDI QIDQ704559
Kai-Uwe Bletzinger, Manfred Bischoff
Publication date: 13 January 2005
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.2003.12.036
Finite elementsAlgebraic subgrid scale stabilizationDiscrete shear gap methodReissner/Mindlin plate theory
Related Items (8)
A stabilized mixed discontinuous Galerkin method for Darcy flow ⋮ C1-continuous FEM for Kirchhoff plates and large deformation ⋮ Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement ⋮ An enhanced cell-based smoothed finite element method for the analysis of Reissner-Mindlin plate bending problems involving distorted mesh ⋮ Time dependent subgrid multiscale stabilized finite element analysis of fully coupled transient <scp>Navier–Stokes</scp>‐transport model ⋮ A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) using layerwise deformation theory for dynamic response of composite plates resting on viscoelastic foundation ⋮ Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation ⋮ The role of continuity in residual-based variational multiscale modeling of turbulence
Cites Work
- A triangular thick plate finite element with an exact thin limit
- An improved treatment of transverse shear in the Mindlin-type four-node quadrilateral element
- On stabilized finite element methods for linear systems of convection-diffusion-reaction equations
- A stable bilinear element for the Reissner-Mindlin plate model
- On the connection between some linear triangular Reissner-Mindlin plate bending elements
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Quadrilateral plate bending elements with shear deformations
- Finite elements with increased freedom in choosing shape functions
- A Curved C0 Shell Element Based on Assumed Natural-Coordinate Strains
- Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
- A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
- A simple quadrilateral shell element
- Triangular, nine-degrees-of-freedom, 𝐶⁰ plate bending element of quadratic accuracy
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