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A simple and efficient finite element for plate bending

International Journal for Numerical Methods in Engineering · 1977 · Vol. 11(10) · pp. 1529–1543
Thomas J.R. HughesRobert L. TaylorWorsak Kanok‐Nukulchai

Abstract

Abstract A simple and efficient finite element is introduced for plate bending applications. Bilinear displacement and rotation functions are employed in conjunction with selective reduced integration. Numerical examples indicate that, despite its simplicity, the element is surprisingly accurate.

Metal Forming Simulation TechniquesLaser and Thermal Forming TechniquesComposite Structure Analysis and OptimizationFinite element methodSimple (philosophy)Bilinear interpolationBendingDisplacement (psychology)Bending of platesExtended finite element methodMixed finite element methodSimplicityRotation (mathematics)

Funding

  • U.S. Department of Transportation
  • Office of Naval Research
Citations
664
FWCI
34.39
field-weighted impact
References
29
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100%
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Citations per year
Cited by
A study of three‐node triangular plate bending elements
International Journal for Numerical Methods in Engineering · 1980 · 838 citations
Mixed finite element methods — Reduced and selective integration techniques: A unification of concepts
Computer Methods in Applied Mechanics and Engineering · 1978 · 959 citations
References
Reduced integration technique in general analysis of plates and shells
International Journal for Numerical Methods in Engineering · 1971 · 1,401 citations
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