Application of scaled boundary finite element method in static and dynamic fracture problems

James Yang

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


The scaled boundary finite element method (SBFEM) is a recently developed numerical method combining advantages of both finite element methods (FEM) and boundary element methods (BEM) and with its own special features as well. One of the most prominent advantages is its capability of calculating stress intensity factors (SIFs) directly from the stress solutions whose singularities at crack tips are analytically represented. This advantage is taken in this study to model static and dynamic fracture problems. For static problems, a remeshing algorithm as simple as used in the BEM is developed while retaining the generality and flexibility of the FEM. Fully-automatic modelling of the mixed-mode crack propagation is then realised by combining the remeshing algorithm with a propagation criterion. For dynamic fracture problems, a newly developed series-increasing solution to the SBFEM governing equations in the frequency domain is applied to calculate dynamic SIFs. Three plane problems are modelled. The numerical results show that the SBFEM can accurately predict static and dynamic SIFs, cracking paths and load-displacement curves, using only a fraction of degrees of freedom generally needed by the traditional finite element methods.
Original languageEnglish
Pages (from-to)243-256
Number of pages14
JournalActa Mechanica Sinica
Issue number3
Early online date20 May 2006
Publication statusPublished - Jun 2006
Externally publishedYes


  • Scaled boundary finite element method
  • Dynamic stress intensity factors
  • Mixed-mode crack propagation
  • Remeshing algorithm
  • Linear elastic fracture mechanics


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