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 journalArticle

55 Citations (Scopus)

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
Pages (from-to)1220-1257
Number of pages38
JournalInternational Journal for Numerical Methods in Engineering
Volume78
Issue number10
DOIs
Publication statusPublished - 2009 Jun 4

Fingerprint

Generalized Finite Element Method
Extended Finite Element Method
Weak Singularity
Finite element method
Three-dimensional
Triangular pyramid
Convergence Properties
Triangle
Integrate
Numerical Examples
Demonstrate

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cite this

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Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems. / Park, Kyoungsoo; Pereira, Jeronymo P.; Duarte, C. Armando; Paulino, Glaucio H.

In: International Journal for Numerical Methods in Engineering, Vol. 78, No. 10, 04.06.2009, p. 1220-1257.

Research output: Contribution to journalArticle

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