A mixed finite element method for the elastoplastic plate bending and buckling
type: Item
instance of: scholarly article
title: A mixed finite element method for the elastoplastic plate bending and buckling
zbMATH Open document ID: 0552.73067
DOI: 10.1016/0045-7825(85)90112-4
author: N. E. Zubov
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1985-01-01T00:00:00Z
review text: We propose and test a mixed finite element method for the elastoplastic plate problem. We approximate the plane displacement with a \({\mathbb{P}}_ 1\cap C^ 0\) finite element. The deflection and the curvature tensor, considered as independent degrees of freedom, are approximated with a \({\mathbb{P}}_ 1\cap C^ 0\) triangular finite element. This proves insufficient for some triangulations (those not generated by three families of parallel lines) and particularly for the computation of the buckling load parameter value. The use of a \({\mathbb{P}}_ 2\cap C^ 0\) finite element gives satisfactory results for the bending problem, as well as that of stability and of buckling.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S99
zbMATH DE Number: 3880240
zbMATH Keywords: mixed finite element method
zbMATH Keywords: elastoplastic plate
zbMATH Keywords: plane displacement
zbMATH Keywords: deflection
zbMATH Keywords: curvature tensor
zbMATH Keywords: independent degrees of freedom
zbMATH Keywords: triangular
MaRDI profile type: Publication
full work available at URL: 0045-7825(85)90112-4
OpenAlex ID: W2021417747
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description: scientific article; zbMATH DE number 3880240