Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems

Kyoungsoo Park, Jeronymo P. Pereira, C. Armando Duarte, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

72 Scopus citations

Abstract

A mapping method is developed to integrate weak singularities, which result from enrichment functions in the generalized/extended finite element method. The integration scheme is applicable to 2D and 3D problems including arbitrarily shaped triangles and tetrahedra. Implementation of the proposed scheme in existing codes is straightforward. Numerical examples for 2D and 3D problems demonstrate the accuracy and convergence properties of the technique.

Original languageEnglish (US)
Pages (from-to)1220-1257
Number of pages38
JournalInternational Journal for Numerical Methods in Engineering
Volume78
Issue number10
DOIs
StatePublished - Jun 4 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Keywords

  • BEM
  • Boundary element method
  • Branch functions
  • Extended FEM
  • Fracture
  • Generalized FEM
  • GFEM/X-FEM
  • Mapping method
  • Singular enrichment functions
  • Weakly singular integration

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