A mixed finite element formulation for plate problems
- 1 January 1972
- journal article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 4 (1) , 67-84
- https://doi.org/10.1002/nme.1620040109
Abstract
A mixed triangular finite element model has been developed for plate bending problems in which effects of shear deformation are included. Linear distribution for all variables is assumed and the matrix equation is obtained through Reissner's variational principle. In this model, interelement compatibility is completely satisfied whereas the governing equations within the element are satisfied ‘in the mean’. A detailed error analysis is made and convergence of the scheme is proved. Numerical examples of thin and moderately thick plates are presented.Keywords
This publication has 7 references indexed in Scilit:
- Shell finite element method via Reissner's principleInternational Journal of Solids and Structures, 1969
- A variational principle and the convergence of a finite-element method based on assumed stress distributionInternational Journal of Solids and Structures, 1969
- A finite element analysis for “moderately thick” rectangular plates in bendingInternational Journal of Mechanical Sciences, 1968
- The Triangular Equilibrium Element in the Solution of Plate Bending ProblemsAeronautical Quarterly, 1968
- An equilibrium model for plate bendingInternational Journal of Solids and Structures, 1968
- Effect of Shear Deformations on the Bending of Rectangular PlatesJournal of Applied Mechanics, 1960
- On a Variational Theorem in ElasticityJournal of Mathematics and Physics, 1950