Super singular element method for two-dimensional crack analysis

D. K L Tsang, S. O. Oyadiji

Research output: Contribution to journalArticlepeer-review


Super singular element method (SSEM) is an accurate method devoted to stress singularity analysis accomplished by stress analysts who have little or no experience of fracture mechanics. The basic idea of SSEM is to transform nodal displacements inside a superelement to global variables, which are the coefficients of the Williams eigenfunction series (ES) that accurately represents crack tip singularity. The stress singularity is modelled by the superelement and the Williams' ES, hence refining the finite-element meshes near the singular point and creation of crack faces can be avoided. The stress intensity factor, T-stress, and the higher order coefficients can be obtained directly from the global variables without any post-processing. The implementation of the SSEM is rather easy; since only matrix multiplication and transformation are required. The SSEM has been incorporated into standard finite-element program ABAQUS. Several two-dimensional crack problems have been performed to compare the SSEM with published results. © 2008 The Royal Society.
Original languageEnglish
Pages (from-to)2629-2648
Number of pages19
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2098
Publication statusPublished - 8 Oct 2008


  • Crack analysis
  • Finite element method
  • Stress singularity


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