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A four‐node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation

International Journal for Numerical Methods in Engineering · 1985 · Vol. 21(2) · pp. 367–383

Klaus‐Jürgen Bathe✉(Massachusetts Institute of Technology)Eduardo N. Dvorkin(Massachusetts Institute of Technology)

Abstract

Abstract This communication discusses a 4‐node plate bending element for linear elastic analysis which is obtained, as a special case, from a general nonlinear continuum mechanics based 4‐node shell element formulation. The formulation of the plate element is presented and the results of various example solutions are given that yield insight into the predictive capability of the plate (and shell) element.

Composite Structure Analysis and Optimization Numerical methods in engineering Vibration and Dynamic AnalysisBending of platesPlate theoryElement (criminal law)Node (physics)BendingInterpolation (computer graphics)Finite element methodStructural engineeringMathematicsShell (structure)

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NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter