Partition of unity enrichment for bimaterial interface cracks

N. Sukumar, Z. Y. Huang, J. H. Prévost, Z. Suo

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263 Scopus citations


Partition of unity enrichment techniques are developed for bimaterial interface cracks. A discontinuous function and the two-dimensional near-tip asymptotic displacement functions are added to the finite element approximation using the framework of partition of unity. This enables the domain to be modelled by finite elements without explicitly meshing the crack surfaces. The crack-tip enrichment functions are chosen as those that span the asymptotic displacement fields for an interfacial crack. The concept of partition of unity facilitates the incorporation of the oscillatory nature of the singularity within a conforming finite element approximation. The mixed-mode (complex) stress intensity factors for bimaterial interfacial cracks are numerically evaluated using the domain form of the interaction integral. Good agreement between the numerical results and the reference solutions for benchmark interfacial crack problems is realized.

Original languageEnglish (US)
Pages (from-to)1075-1102
Number of pages28
JournalInternational Journal for Numerical Methods in Engineering
Issue number8
StatePublished - Feb 28 2004

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


  • Extended finite element method
  • Four-point bending specimen
  • Interface crack
  • Oscillatory singularity
  • Steady-state energy release rate
  • Stress intensity factor


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