Crack face contact for a hexahedral-based XFEM formulation

verfasst von
D. S. Mueller-Hoeppe, P. Wriggers, S. Loehnert
Abstract

Taking into account arbitrary crack geometries, crack closure generally occurs independently of the load case. As the standard eXtended Finite Element Method (XFEM) does not prevent unphysical crack face penetration in this case, a formulation allowing for crack face contact is proposed in terms of a penalty formulation for normal contact. The discretization is developed for non-planar cracks intersecting hexahedral elements in an arbitrary manner. Typical problems of many crack face contact implementations within the XFEM, like locking or the introduction of additional degrees of freedom, are avoided by projecting the contact contribution onto the hexahedral element nodes. The method is tested by means of suitable numerical examples, finally presenting an application in form of a multiscale setup with arbitrarily arranged micro cracks in the vicinity of a macro crack front.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Typ
Artikel
Journal
Computational mechanics
Band
49
Seiten
725-734
Anzahl der Seiten
10
ISSN
0178-7675
Publikationsdatum
25.03.2012
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1007/s00466-012-0701-2 (Zugang: Unbekannt)
 

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