Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 78, Issue 10, Pages 1220-1257Publisher
WILEY
DOI: 10.1002/nme.2530
Keywords
GFEM/X-FEM; BEM; weakly singular integration; mapping method; branch functions; generalized FEM; extended FEM; boundary element method; fracture; singular enrichment functions
Funding
- Department of Civil and Environmental Engineering (CEE)
- Computational Science and Engineering (CSE)
- National Science Foundation [DMS-0611094]
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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 (C) 2008 John Wiley & Sons, Ltd.
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