TY - JOUR
T1 - Crack propagation criteria in three dimensions using the XFEM and an explicit-implicit crack description
AU - Baydoun, M.
AU - Fries, T. P.
PY - 2012/11
Y1 - 2012/11
N2 - This paper studies propagation criteria in three-dimensional fracture mechanics within the extended finite element framework (XFEM). The crack in this paper is described by a hybrid explicit-implicit approach as proposed in Fries and Baydoun (Int J Numer Methods Eng, 2011). In this approach, the crack update is realized based on an explicit crack surface mesh which allows an investigation of different propagation criteria. In contrast, for the computation of the displacements, stresses and strains by means of the XFEM, an implicit description by level set functions is employed. The maximum circumferential stress criterion, the maximum strain energy release rate criterion, the minimal strain energy density criterion and the material forces criterion are realized. The propagation paths from different criteria are studied and compared for asymmetric bending, torsion, and combined bending and torsion test cases. It is found that the maximum strain energy release rate and maximum circumferential stress criterion show the most favorable results.
AB - This paper studies propagation criteria in three-dimensional fracture mechanics within the extended finite element framework (XFEM). The crack in this paper is described by a hybrid explicit-implicit approach as proposed in Fries and Baydoun (Int J Numer Methods Eng, 2011). In this approach, the crack update is realized based on an explicit crack surface mesh which allows an investigation of different propagation criteria. In contrast, for the computation of the displacements, stresses and strains by means of the XFEM, an implicit description by level set functions is employed. The maximum circumferential stress criterion, the maximum strain energy release rate criterion, the minimal strain energy density criterion and the material forces criterion are realized. The propagation paths from different criteria are studied and compared for asymmetric bending, torsion, and combined bending and torsion test cases. It is found that the maximum strain energy release rate and maximum circumferential stress criterion show the most favorable results.
KW - Crack propagation criteria
KW - Explicit crack description
KW - Extended finite element method
KW - Implicit crack description
KW - Material forces
KW - Maximum circumferential stress
KW - Maximum strain energy release rate
KW - Minimum strain energy density
KW - Three dimensional fracture
KW - XFEM
UR - http://www.scopus.com/inward/record.url?scp=84870725745&partnerID=8YFLogxK
U2 - 10.1007/s10704-012-9762-7
DO - 10.1007/s10704-012-9762-7
M3 - Article
AN - SCOPUS:84870725745
SN - 0376-9429
VL - 178
SP - 51
EP - 70
JO - International journal of fracture
JF - International journal of fracture
IS - 1-2
ER -