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Erschienen in:
2006 | OriginalPaper | Buchkapitel
A new finite element method for Kirchhoff plates
verfasst von : Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg
Erschienen in: III European Conference on Computational Mechanics
Verlag: Springer Netherlands
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Based on the ideas from [
1
] and [
2
] we present a new finite element method for the Kirchhoff plate bending model [
3
]. The method uses
C
0
basis functions for the deflection and the rotation, i.e. the same approach as used for the Reissner-Mindlin model. To account for the effective shear force at the free boundary a stabilization term is added. We prove optimal a-priori and a-posteriori error estimates. The corresponding results from benchmark problems are also reported.