Crack propagation criteria in three dimensions using the XFEM and an explicit-implicit crack description

M. Baydoun, T. P. Fries

Research output: Contribution to journalArticleResearchpeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)51-70
Number of pages20
JournalInternational journal of fracture
Volume178
Issue number1-2
DOIs
Publication statusPublished - Nov 2012

Fingerprint

Crack Propagation
Strain energy
Three-dimension
Bending (forming)
Crack propagation
Crack
Energy release rate
Cracks
Torsional stress
Fracture mechanics
Energy Release Rate
Strain Energy
Propagation
Torsion
Strain Energy Density
Minimal Energy
Surface Crack
Fracture Mechanics
Level Set
Update

Keywords

  • Crack propagation criteria
  • Explicit crack description
  • Extended finite element method
  • Implicit crack description
  • Material forces
  • Maximum circumferential stress
  • Maximum strain energy release rate
  • Minimum strain energy density
  • Three dimensional fracture
  • XFEM

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Modelling and Simulation

Cite this

Crack propagation criteria in three dimensions using the XFEM and an explicit-implicit crack description. / Baydoun, M.; Fries, T. P.

In: International journal of fracture, Vol. 178, No. 1-2, 11.2012, p. 51-70.

Research output: Contribution to journalArticleResearchpeer-review

@article{d148733ae5384489865e7ec0e7b940b0,
title = "Crack propagation criteria in three dimensions using the XFEM and an explicit-implicit crack description",
abstract = "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.",
keywords = "Crack propagation criteria, Explicit crack description, Extended finite element method, Implicit crack description, Material forces, Maximum circumferential stress, Maximum strain energy release rate, Minimum strain energy density, Three dimensional fracture, XFEM",
author = "M. Baydoun and Fries, {T. P.}",
year = "2012",
month = "11",
doi = "10.1007/s10704-012-9762-7",
language = "English",
volume = "178",
pages = "51--70",
journal = "International journal of fracture",
issn = "0376-9429",
publisher = "Springer Netherlands",
number = "1-2",

}

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

VL - 178

SP - 51

EP - 70

JO - International journal of fracture

JF - International journal of fracture

SN - 0376-9429

IS - 1-2

ER -