A stabilization matrix for the bilinear mindlin plate element

T. Belytschko*, C. S. Tsay, W. K. Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

116 Scopus citations

Abstract

The reduced integration of the four node quadrilateral plate element based on Mindlin theory results in zero energy modes other than the rigid body modes. These modes present difficulties in certain situations. In this paper we suggest a method to remove these zero-energy (kinematic) modes by perturbing the stiffness by a stabilization matrix. This approach eliminates the element's kinematic modes without inducing locking and thus does not affect its convergence.

Original languageEnglish (US)
Pages (from-to)313-327
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume29
Issue number3
DOIs
StatePublished - Dec 1981

Funding

The partial support of EPRI gratefully acknowledged. and the National Science Foundation to

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications

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