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Title
The TDNNS method for ReissnerMindlin plates
AuthorPechstein, Astrid S. ; Schöberl, Joachim
Published in
Numerische Mathematik, 2017, Vol. 137, Issue 3, page 713-740
PublishedSpringer Berlin Heidelberg, 2017
LanguageEnglish
Document typeJournal Article
ISSN0945-3245
URNurn:nbn:at:at-ubl:3-1961 Persistent Identifier (URN)
DOI10.1007/s00211-017-0883-9 
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 The work is publicly available
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The TDNNS method for ReissnerMindlin plates [1.19 mb]
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Abstract (English)

A new family of locking-free finite elements for shear deformable ReissnerMindlin plates is presented. The elements are based on the “tangential-displacement normal-normal-stress” formulation of elasticity. In this formulation, the bending moments are treated as separate unknowns. The degrees of freedom for the plate element are the nodal values of the deflection, tangential components of the rotations and normalnormal components of the bending strain. Contrary to other plate bending elements, no special treatment for the shear term such as reduced integration is necessary. The elements attain an optimal order of convergence.

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CC-BY-License (4.0)Creative Commons Attribution 4.0 International License