Publication: Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model
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Date
2015
Authors
Dr. Barrios-Faúndez, Tomás
Barrenechea, Gabriel
Wachtel, Andreas
Journal Title
Journal ISSN
Volume Title
Publisher
Calcolo 52
Abstract
This work presents new stabilised finite element methods for a bending moments formulation of the Reissner-Mindlin plate model. The introduction of the bending moment as an extra unknown leads to a new weak formulation, where the symmetry of this variable is imposed strongly in the space. This weak problem is proved to be well-posed, and stabilised Galerkin schemes for its discretisation are presented and analysed. The finite element methods are such that the bending moment tensor is sought in a finite element space constituted of piecewise linear continuos and symmetric tensors. Optimal error estimates are proved, and these findings are illustrated by representative numerical experiments.
Description
Keywords
Reissner-Mindlin plate, Stabilised finite element method, Symmetric formulation, Symmetric tensor