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

doi:10.1002/nme.2530

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

Department of Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

71 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 language	English
Pages (from-to)	1220-1257
Number of pages	38
Journal	International Journal for Numerical Methods in Engineering
Volume	78
Issue number	10
DOIs	https://doi.org/10.1002/nme.2530
Publication status	Published - 2009 Jun 4

All Science Journal Classification (ASJC) codes

Numerical Analysis
Engineering(all)
Applied Mathematics

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10.1002/nme.2530

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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.",

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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 journal › Article › peer-review

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

Abstract

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