On the range of applicability of the Reissner-Mindlin and Kirchhoff-Love plate bending models

Douglas N. Arnold, Alexandre L. Madureira, Sheng Zhang

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

We show that the Reissner-Mindlin plate bending model has a wider range of applicability than the Kirchhoff-Love model for the approximation of clamped linearly elastic plates. Under the assumption that the body force density is constant in the transverse direction, the Reissner-Mindlin model solution converges to the three-dimensional linear elasticity solution in the relative energy norm for the full range of surface loads. However, for loads with a significant transverse shear effect, the Kirchhoff-Love model fails.

Original languageEnglish (US)
Pages (from-to)171-185
Number of pages15
JournalJournal of Elasticity
Volume67
Issue number3
DOIs
StatePublished - Dec 1 2002

Keywords

  • Kirchhoff-Love
  • Plate
  • Reissner-Mindlin

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