DERIVATION OF THIN PLATE BENDING ELEMENTS WITH ONE DEGREE OF FREEDOM PER NODE: A SIMPLE THREE NODE TRIANGLE
- 1 June 1993
- journal article
- review article
- Published by Emerald Publishing in Engineering Computations
- Vol. 10 (6) , 543-561
- https://doi.org/10.1108/eb023924
Abstract
A general methodology for deriving thin plate bending elements with a single degree of freedom per node is presented. The formulation is based on the combination of a standard C0 finite element interpolation for the deflection field with an independent approximation of the curvatures which are expressed in terms of the deflection gradient along the sides using a finite volume‐like approach. The formulation is particularized for the simplest element of the family, i.e. the three node triangle with three degrees of freedom. The potential of the new element is shown through different examples of application.Keywords
This publication has 7 references indexed in Scilit:
- A simple class of finite elements for plate and shell problems. II: An element for thin shells, with only translational degrees of freedomInternational Journal for Numerical Methods in Engineering, 1992
- A simple class of finite elements for plate and shell problems. I: Elements for beams and thin flat platesInternational Journal for Numerical Methods in Engineering, 1992
- The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery techniqueInternational Journal for Numerical Methods in Engineering, 1992
- THREE NODE TRIANGULAR BENDING ELEMENTS WITH ONE DEGREE OF FREEDOM PER NODEEngineering Computations, 1992
- Generalizing the finite element method: Diffuse approximation and diffuse elementsComputational Mechanics, 1992
- A discrete shear triangular nine D.O.F. element for the analysis of thick to very thin platesInternational Journal for Numerical Methods in Engineering, 1989
- Finite difference energy techniques for arbitrary meshes applied to linear plate problemsInternational Journal for Numerical Methods in Engineering, 1979