A symbolic Fourier synthesis of a one-point integrated quadrilateral plate element
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Publication:801726
DOI10.1016/0045-7825(85)90105-7zbMath0552.73068OpenAlexW2054808144MaRDI QIDQ801726
Publication date: 1985
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(85)90105-7
directional averaging operatoreffects of different integration rulesone-point and four-point spatially integrated four-noded \(C^ 0\) plate elementssymbolic Fourier analysis
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)
Related Items
A modified representation of transverse shear in \(C^ 0\) quadrilateral plate elements, Complex wave-number dispersion analysis of Galerkin and Galerkin least-squares methods for fluid-loaded plates, Design of Galerkin generalized least squares methods for Timoshenko beams, Subgrid modeling in a Galerkin method for the Helmholtz equation, The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation, Locking, spurious mechanisms, and pressure divergence in penalty finite element methods for Stokes flow problems
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Cites Work
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- A Fourier analysis of spurious mechanisms and locking in the finite element method
- An operational procedure for the symbolic analysis of the finite element method
- A four-noded thin-plate bending element using shear constraints - A modified version of Lyons' element
- A stabilization matrix for the bilinear Mindlin plate element
- Reduced integration, function smoothing and non-conformity in finite element analysis (with special reference to thick plates)
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
- Quadrilateral plate bending elements with shear deformations
- Finite elements with increased freedom in choosing shape functions
- Finite elements based on energy orthogonal functions
- 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
- Evaluation of a new quadrilateral thin plate bending element
- A stabilization procedure for the quadrilateral plate element with one‐point quadrature
- An efficient method for determining the effects of mass modifications in damped systems
- Optimal stress locations in finite element models
- A simple and efficient finite element for plate bending
- A simple quadrilateral shell element
- A study of quadrilateral plate bending elements with ‘reduced’ integration
- LORA—an accurate four node stress plate bending element
- The “heterosis” finite element for plate bending
- Analysis of Heterogeneous Anisotropic Plates
- Improved numerical integration of thick shell finite elements
- Reduced integration technique in general analysis of plates and shells
