Crack face contact for a hexahedral-based XFEM formulation

authored by: 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.
Organisation(s): Institute of Continuum Mechanics
Type: Article
Journal: Computational mechanics
Volume: 49
Pages: 725-734
No. of pages: 10
ISSN: 0178-7675
Publication date: 25.03.2012
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-012-0701-2 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{47c922c8e206419ea91ea503cf9272d9,
title = "Crack face contact for a hexahedral-based XFEM formulation",
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.",
keywords = "3d, Crack face contact, Hexahedral elements, XFEM",
author = "Mueller-Hoeppe, {D. S.} and P. Wriggers and S. Loehnert",
year = "2012",
month = mar,
day = "25",
doi = "10.1007/s00466-012-0701-2",
language = "English",
volume = "49",
pages = "725--734",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "6",
}