Mixed variational principles and stabilization of spurious modes in the 9-node element
type: Item
instance of: scholarly article
title: Mixed variational principles and stabilization of spurious modes in the 9-node element
zbMATH Open document ID: 0614.73072
DOI: 10.1016/0045-7825(87)90063-6
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: The stabilization matrix for the 9-node plane stress element is developed through mixed variational principles. Through suppression of appropriate stresses, the element is constructed so that it exceeds the accuracy of both the underintegrated and fully integrated elements in various structural problems. One layer of elements is generally sufficient to match Euler-Bernoulli beam solutions within less than 1\%; this property is termed flexural superconvergence. Results are given for a variety of problems to demonstrate the effectiveness of this procedure.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3995200
zbMATH Keywords: underintegrated 9-node element
zbMATH Keywords: Lagrange continuum element
zbMATH Keywords: Hu-Washizu principle
zbMATH Keywords: gama-projection operator
zbMATH Keywords: control of spurious modes
zbMATH Keywords: frame invariant formulation
zbMATH Keywords: stabilization matrix
zbMATH Keywords: 9-node plane stress element
zbMATH Keywords: mixed variational principles
zbMATH Keywords: suppression of appropriate stresses
author: Ted Belytschko
author: Wing K. Liu
author: Jame Shau-Jen Ong
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90063-6
OpenAlex ID: W2074898594
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description: scientific article; zbMATH DE number 3995200