Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces
type: Item
instance of: scholarly article
title: Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces
zbMATH Open document ID: 0611.73077
DOI: 10.1016/0045-7825(88)90127-2
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: A new mixed finite element formulation of Reissner-Mindlin theory is presented which improves upon the stability properties of the Galerkin formulation. General convergence theorems are proved which are uniformly valid for all values of the plate thickness, including the Poisson- Kirchhoff limit. As long as the dependent variables are interpolated with functions of sufficiently high order, the formulation is convergent. No special devices are required.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3988852
zbMATH Keywords: high-order interpolations
zbMATH Keywords: uniform error estimates
zbMATH Keywords: modified Galerkin variational equation
zbMATH Keywords: least-square residual forms of moment equilibrium equation
zbMATH Keywords: transverse shear constitutive equation
zbMATH Keywords: mixed finite element formulation
zbMATH Keywords: Reissner-Mindlin theory
zbMATH Keywords: stability properties
zbMATH Keywords: general convergence theorems
zbMATH Keywords: Poisson-Kirchhoff limit
author: T. J. R. Hughes
author: Leopoldo P. Franca
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90127-2
OpenAlex ID: W2078656850
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description: scientific article; zbMATH DE number 3988852