Details
| Original language | English |
|---|---|
| Pages (from-to) | 725-734 |
| Number of pages | 10 |
| Journal | Computational mechanics |
| Volume | 49 |
| Issue number | 6 |
| Publication status | Published - 25 Mar 2012 |
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
ASJC Scopus subject areas
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 49, No. 6, 25.03.2012, p. 725-734.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Crack face contact for a hexahedral-based XFEM formulation
AU - Mueller-Hoeppe, D. S.
AU - Wriggers, P.
AU - Loehnert, S.
PY - 2012/3/25
Y1 - 2012/3/25
N2 - 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.
AB - 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.
KW - 3d
KW - Crack face contact
KW - Hexahedral elements
KW - XFEM
UR - http://www.scopus.com/inward/record.url?scp=84862171859&partnerID=8YFLogxK
U2 - 10.1007/s00466-012-0701-2
DO - 10.1007/s00466-012-0701-2
M3 - Article
AN - SCOPUS:84862171859
VL - 49
SP - 725
EP - 734
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 6
ER -