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 | |
| Publication status | Published - 2009 Jun 4 |
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All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Engineering(all)
- Applied Mathematics
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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
TY - JOUR
T1 - Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems
AU - Park, Kyoungsoo
AU - Pereira, Jeronymo P.
AU - Duarte, C. Armando
AU - Paulino, Glaucio H.
PY - 2009/6/4
Y1 - 2009/6/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=65449162624&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=65449162624&partnerID=8YFLogxK
U2 - 10.1002/nme.2530
DO - 10.1002/nme.2530
M3 - Article
AN - SCOPUS:65449162624
VL - 78
SP - 1220
EP - 1257
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 10
ER -