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Locking-Free Mixed Finite Element Methods and Their Spurious Hourglassing Patterns

Hille, Moritz 1; Pfefferkorn, Robin ORCID iD icon 1; Betsch, Peter 1
1 Institut für Mechanik (IFM), Karlsruher Institut für Technologie (KIT)

Abstract:

We present the five field mixed finite element formulation introduced by Armero and extend it to 3D problems. It combines the nonlinear mixed pressure element with an enhanced assumed strain (EAS) method based on the transposed Wilson modes. The well-known mixed pressure element arises from a Hu-Washizu-like variational principle, where dilatation and pressure are independent variables. This functional is further modified using the EAS framework to get the mixed formulation presented in this work. The element is compared to several mixed pressure and EAS element formulations showing its great performance in alleviating volumetric and shear locking in large deformation problems. The main focus of the present work is spurious hourglassing of mixed finite elements that arise in hyperelastic and elasto-plastic simulations.


Preprint §
DOI: 10.5445/IR/1000152788
Veröffentlicht am 07.12.2022
Originalveröffentlichung
DOI: 10.1007/978-3-030-87312-7_19
Scopus
Zitationen: 2
Dimensions
Zitationen: 1
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Mechanik (IFM)
Publikationstyp Buchaufsatz
Publikationsjahr 2022
Sprache Englisch
Identifikator ISBN: 978-3-030-87311-0
KITopen-ID: 1000152788
Erschienen in Current Trends and Open Problems in Computational Mechanics. Ed.: F. Aldakheel
Auflage 1.
Verlag Springer International Publishing
Seiten 181–194
Vorab online veröffentlicht am 13.03.2022
Schlagwörter mixed finite elements, enhanced assumed strain, hyperelasticity, elasto-plasticity, robustness, numerical instabilities
Nachgewiesen in Scopus
Dimensions
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