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

113 Scopus citations


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
Issue number3
StatePublished - Dec 1981

ASJC Scopus subject areas

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


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