Mixed variational principles and stabilization of spurious modes in the 9-node element

T. Belytschko*, W. K. Liu, J. S.J. Ong

*Corresponding author for this work

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)275-292
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Volume62
Issue number3
DOIs
StatePublished - Jun 1987

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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