On the accuracy of p-version elements for the Reissner-Mindlin plate problem

Ernst Rank, Roland Krause, Karin Preusch

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

Abstract

This paper addresses the question of accuracy of p-version finite element formulations for Reissner-Mindlin plate problems. Three model problems, a circular arc, a rhombic plate and a geometrically complex structure are investigated. Whereas displacements and bending moments turn out to be very accurate without any post-processing even for very coarse meshes, the quality of shear forces computed from constitutive equations is poor. It is shown that significantly improved results can be obtained, if shear forces are computed from equilibrium equations instead. A consistent computation of second derivatives of the shape functions is derived.

Original languageEnglish
Pages (from-to)51-67
Number of pages17
JournalInternational Journal for Numerical Methods in Engineering
Volume43
Issue number1
DOIs
StatePublished - 15 Sep 1998

Keywords

  • Reissner-Mindlin plates
  • Shear force computation
  • p-version

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