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A study of three‐node triangular plate bending elements

International Journal for Numerical Methods in Engineering · 1980 · Vol. 15(12) · pp. 1771–1812
Jean‐Louis BatozKlaus‐Jürgen BatheHo Lee-Wing

Abstract

Abstract An assessment of flat triangular plate bending elements with displacement degrees‐of‐freedom at the three corner nodes only is presented, with the purpose of identifying the most effective for thin plate analysis. Based on a review of currently available elements, specific attention is given to the theoretical and numerical evaluation of three triangular 9 degrees‐of‐freedom elements; namely, a discrete Kirchhoff theory (DKT) element, a hybrid stress model (HSM) element and a selective reduced integration (SRI) element. New and efficient formulations of these elements are discussed in detail and the results of several example analyses are given. It is concluded that the most efficient and reliable three‐node plate bending elements are the DKT and HSM elements.

Structural Load-Bearing AnalysisComposite Structure Analysis and OptimizationMechanical stress and fatigue analysisBending of platesNode (physics)BendingStructural engineeringDegrees of freedom (physics and chemistry)Element (criminal law)Displacement (psychology)Plate theoryEngineeringFinite element method
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Cited by
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References
Numerical Methods in Finite Element Analysis.
Mathematics of Computation · 1977 · 2,046 citations
Mixed finite element methods — Reduced and selective integration techniques: A unification of concepts
Computer Methods in Applied Mechanics and Engineering · 1978 · 959 citations
A simple and efficient finite element for plate bending
International Journal for Numerical Methods in Engineering · 1977 · 664 citations
Reduced integration technique in general analysis of plates and shells
International Journal for Numerical Methods in Engineering · 1971 · 1,401 citations
An Analysis of the Finite Element Method
Mathematics of Computation · 1974 · 3,461 citations
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