A cohesive XFEM model for simulating fatigue crack growth under mixed-mode loading and overloading

R. Dekker (Corresponding author), F.P. van der Meer, J. Maljaars, L.J. Sluys

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Structures are subjected to cyclic loads that can vary in direction and magnitude, causing constant amplitude mode I simulations to be too simplistic. This study presents a new approach for fatigue crack propagation in ductile materials that can capture mixed-mode loading and overloading. The extended finite element method is used to deal with arbitrary crack paths. Furthermore, adaptive meshing is applied to minimize computation time. A fracture process zone ahead of the physical crack tip is represented by means of cohesive tractions from which the energy release rate, and thus the stress intensity factor can be extracted for an elastic-plastic material. The approach is therefore compatible with the Paris equation, which is an empirical relation to compute the fatigue crack growth rate. Two different models to compute the cohesive tractions are compared. First, a cohesive zone model with a static cohesive law is used. The second model is based on the interfacial thick level set method in which tractions follow from a given damage profile. Both models show good agreement with a mode I analytical relation and a mixed-mode experiment. Furthermore, it is shown that the presented models can capture crack growth retardation as a result of an overload.

LanguageEnglish
Pages561-577
Number of pages17
JournalInternational Journal for Numerical Methods in Engineering
Volume118
Issue number10
DOIs
StatePublished - 8 Jun 2019

Fingerprint

Fatigue Crack Growth
Mixed Mode
Fatigue crack propagation
Adaptive Meshing
Cohesive Zone Model
Fatigue Crack Propagation
Crack Growth Rate
Extended Finite Element Method
Energy Release Rate
Level Set Method
Crack Growth
Overload
Crack Tip
Stress Intensity Factor
Cyclic loads
Model
Energy release rate
Plastics
Crack
Damage

Keywords

  • cohesive zone model
  • fatigue crack growth
  • interfacial thick level set
  • mixed-mode
  • overload
  • XFEM

Cite this

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title = "A cohesive XFEM model for simulating fatigue crack growth under mixed-mode loading and overloading",
abstract = "Structures are subjected to cyclic loads that can vary in direction and magnitude, causing constant amplitude mode I simulations to be too simplistic. This study presents a new approach for fatigue crack propagation in ductile materials that can capture mixed-mode loading and overloading. The extended finite element method is used to deal with arbitrary crack paths. Furthermore, adaptive meshing is applied to minimize computation time. A fracture process zone ahead of the physical crack tip is represented by means of cohesive tractions from which the energy release rate, and thus the stress intensity factor can be extracted for an elastic-plastic material. The approach is therefore compatible with the Paris equation, which is an empirical relation to compute the fatigue crack growth rate. Two different models to compute the cohesive tractions are compared. First, a cohesive zone model with a static cohesive law is used. The second model is based on the interfacial thick level set method in which tractions follow from a given damage profile. Both models show good agreement with a mode I analytical relation and a mixed-mode experiment. Furthermore, it is shown that the presented models can capture crack growth retardation as a result of an overload.",
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A cohesive XFEM model for simulating fatigue crack growth under mixed-mode loading and overloading. / Dekker, R. (Corresponding author); van der Meer, F.P.; Maljaars, J.; Sluys, L.J.

In: International Journal for Numerical Methods in Engineering, Vol. 118, No. 10, 08.06.2019, p. 561-577.

Research output: Contribution to journalArticleAcademicpeer-review

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