Fully automatic modelling of mixed-mode crack propagation using scaled boundary finite element method

James Yang

Research output: Contribution to journalArticlepeer-review

156 Citations (Scopus)


The newly-developed scaled boundary finite element method (SBFEM) is able to calculate stress intensity factors directly because the singularity in stress solutions at crack tips is analytically represented. By taking this advantage, a mixed-mode crack propagation model based on linear elastic fracture mechanics (LEFM) was developed in this study. A domain is first divided into a few subdomains. Because the dimensions and shapes of subdomains can be flexibly varied and only the domain boundaries or common edges between subdomains are discretised in the SBFEM, a remeshing procedure as simple as in boundary element methods was developed with minimum mesh changes whereas the generality and flexibility of the FEM is well maintained. Fully-automatic modelling of mixed-mode crack propagation is then achieved by combining the remeshing procedure with a propagation criterion. Three mixed-mode examples were modelled. Comparisons of the numerical results with those from available publications show that the developed model is capable of predicting crack trajectories and load–displacement relations accurately and efficiently.
Original languageEnglish
Pages (from-to)1711-1731
Number of pages21
JournalEngineering Fracture Mechanics
Issue number12
Early online date20 Mar 2006
Publication statusPublished - Aug 2006
Externally publishedYes


  • Scaled boundary finite element analysis
  • Stress intensity factors
  • Mixed-mode crack propagation
  • Remeshing procedure
  • Linear elastic fracture mechanics


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