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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Stability of Mixed Finite Element Formulations – A New Approach
verfasst von : Stefanie Reese, Vivian Tini, Yalin Kiliclar, Jan Frischkorn, Marco Schwarze
Erschienen in: Recent Developments and Innovative Applications in Computational Mechanics
Verlag: Springer Berlin Heidelberg
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To guarantee stability of non-linear mixed finite element formulations is still an unsolved problem. In the present contribution firstly a unified finite element technology for linear-elastic problems is described where the effect of locking can be well explained and the issue of instability is not relevant. The extension to large deformation models reveals the difficulty of differentiating between physcially relevant and artificial bifurcations. Powerful finite element technologies should be able to exhibit the first kind but not show the second kind of bifurcations. In the paper a strategy is developed to detect and to avoid such non-physical instabilities.