An efficient stress intensity factor evaluation method for interacting arbitrary shaped 3D cracks

Mari Åman*, Kennie Berntsson, Gary Marquis

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

6 Citations (Scopus)
15 Downloads (Pure)


A finite element-based method for accurately determining stress intensity factors (SIF) for interacting arbitrarily-shaped 3D cracks is proposed. The method utilizes the superposition principle and does not require fine meshes or singular elements. The foundation of the new method is that disturbances in an elastic stress field due to neighbouring cracks can be captured accurately by splitting the total stress at the crack tip element into two components, singular and non-singular terms. Computed results are in very good agreement with the existing numerical solutions. In addition, novel SIF solutions for various crack configurations are presented, and the conversion of size-independent solutions to the small crack model, the √area parameter model, is introduced. The proposed method can be applied to the SIF analysis for interacting cracks with various shapes often observed e.g. in additively manufactured (AM) components and the solutions will be useful for the standardization for such complicated defect configurations.

Original languageEnglish
Article number102767
Number of pages9
JournalTheoretical and Applied Fracture Mechanics
Early online date10 Sept 2020
Publication statusPublished - Oct 2020
MoE publication typeA1 Journal article-refereed


  • Crack interaction
  • Defect interaction
  • Finite element method
  • Interaction effect
  • Stress intensity factor


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