ON MESH STABILIZATION TECHNIQUES FOR UNDERINTEGRATED ELEMENTS.

T. Belytschko*, W. K. Liu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Mesh stabilization techniques for controlling the hourglass modes in underintegrated hexahedral and quadrilateral elements are examined. It is shown, using the Laplace equation as a model, that the 'orthogonal' hourglass techniques previously developed can be obtained from simple requirements that ensure that the finite element patch test is also satisfied. By contrast, other hourglass control techniques fail to satisfy the patch test for elements that are not rectangular. These results also apply to certain finite difference methods. The extension of these techniques to solid mechanics problems is also discussed.

Original languageEnglish (US)
Title of host publicationLecture Notes in Engineering
PublisherSpringer Verlag
Pages210-221
Number of pages12
ISBN (Print)3540126341, 9783540126348
DOIs
StatePublished - Jan 1 1983

Publication series

NameLecture Notes in Engineering

ASJC Scopus subject areas

  • Engineering(all)

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