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Integration of singular enrichment functions in the generalized/extended finite element method for three‐dimensional problems
Author(s) -
Park Kyoungsoo,
Pereira Jeronymo P.,
Duarte C. Armando,
Paulino Glaucio H.
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2530
Subject(s) - finite element method , gravitational singularity , convergence (economics) , scheme (mathematics) , tetrahedron , mathematics , extended finite element method , element (criminal law) , mixed finite element method , computer science , mathematical optimization , algorithm , mathematical analysis , geometry , engineering , structural engineering , political science , law , economics , economic growth
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. Copyright © 2008 John Wiley & Sons, Ltd.