HOURGLASS CONTROL FOR LINEAR AND NONLINEAR PROBLEMS.

T. B. Belytschko*, Wing K Liu, J. M. Kennedy

*Corresponding author for this work

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

Abstract

Many explicit time integration codes employ quadrilateral elements in two dimensions and hexahedral elements in three dimensions with one-point quadrature. Finite difference methods based on the contour integral technique employ similar equations. The major drawback of one-point quadrature in these elements is a mesh instability often known as hourglassing, which was first recognized in finite difference literature. It is a special case of the phenomenon known in finite elements as kinematic modes or spurious zero-energy modes. In this paper, an hourglass procedure which is not activated by rigid body modes is described. Some solutions of the diffusion equation (both linear and nonlinear) are presented.

Original languageEnglish (US)
Title of host publicationTransactions of the International Conference on Structural Mechanics in Reactor Technology
Publisherr Commission of the European Communities (EUR-8596) by North-Holland, 13. 1
ISBN (Print)0444867007
StatePublished - Dec 1 1983

Publication series

NameTransactions of the International Conference on Structural Mechanics in Reactor Technology
ISSN (Print)0167-563X

ASJC Scopus subject areas

  • Engineering(all)

Fingerprint Dive into the research topics of 'HOURGLASS CONTROL FOR LINEAR AND NONLINEAR PROBLEMS.'. Together they form a unique fingerprint.

Cite this