Mixed-mode fatigue crack propagation simulation by means of Geq and walker models of the structural steel S355

Haohui Xin, Jielin Liu, José A.F.O. Correia*, Filippo Berto, Milan Veljkovic, Guian Qian

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
21 Downloads (Pure)


In this paper, a numerical simulation method of mixed-mode fatigue crack propagation was explored using the extended finite element method (XFEM) and the Virtual Crack Closure Technique (VCCT). Both 2D and 3D numerical models were selected to simulate the fatigue crack propagation of steel specimens. Two coefficients were proposed to calculate the equivalent energy release rate (Geq) for a better simulation of the mixed-mode fatigue crack propagation of S355 steel. The Walker equation and the calculation formula of Geq were realized by a user-defined subroutine. A set of optimal correction coefficients of mode II energy release rate (GII) and mode III energy release rate (GIII) were quantitatively comparing the simulation results and test data. The results will contribute to fatigue crack propagation prediction of steel structures in the civil engineering field.

Original languageEnglish
Article number103717
JournalTheoretical and Applied Fracture Mechanics
Publication statusPublished - 2023

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • Equivalent energy release rate ()
  • Extended finite element method (XFEM)
  • Mixed mode fatigue crack propagation
  • Virtual Crack Closure Technology (VCCT)
  • Walker equation


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