A Kirchhoff-mode method for \(C^ 0\) bilinear and Serendipity plate elements
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Publication:801730
DOI10.1016/0045-7825(85)90086-6zbMath0552.73069OpenAlexW1993643607MaRDI QIDQ801730
Ted Beltytschko, Nicholas Carpenter, Henryk K. Stolarski
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)90086-6
projection methodexamplesC quadrilateralC triangular linear plate elementequivalent discrete Kirchhoff configurationextension of the mode-decomposition approachquadratic C sup O beam elementSerendipity plate elements
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)
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Cites Work
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- A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration
- A stabilization matrix for the bilinear Mindlin plate element
- Shear and membrane locking in curved \(C^ 0\) elements
- Penalty resolution of the Babushka circle paradox
- A comparison of lagrangian and serendipity mindlin plate elements for free vibration analysis
- AC0 triangular plate element with one-point quadrature
- A quadratic mindlin element using shear constraints
- Field redistribution in finite elements—a mathematical alternative to reduced integration
- Finite element analysis of geometrically nonlinear plate behaviour using a mindlin formulation
- Generalization of selective integration procedures to anisotropic and nonlinear media
- Aspects of a simple triangular plate bending finite element
- The hybrid-stress model for thin plates
- Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
- A study of three-node triangular plate bending elements
- Reduced integration and the shear-flexible beam element
- An explicit formulation for an efficient triangular plate-bending element
- Our discrete-Kirchhoff and isoparametric shell elements for nonlinear analysis—An assessment
- A note on locking in a shear flexible triangular plate bending element
- A stabilization procedure for the quadrilateral plate element with one‐point quadrature
- A simple and efficient finite element for plate bending
- A simple and efficient element for axisymmetric shells
- A simple quadrilateral shell element
- A study of quadrilateral plate bending elements with ‘reduced’ integration
- A simple and efficient finite element for general shell analysis
- The “heterosis” finite element for plate bending
- An optimally integrated four‐node quadrilateral plate bending element
- Triangular, nine-degrees-of-freedom, 𝐶⁰ plate bending element of quadratic accuracy
- Improved numerical integration of thick shell finite elements
- Reduced integration technique in general analysis of plates and shells
