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

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 sc...

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Bibliographic Details
Published in:	International journal for numerical methods in engineering Vol. 78; no. 10; pp. 1220 - 1257
Main Authors:	Park, Kyoungsoo, Pereira, Jeronymo P., Duarte, C. Armando, Paulino, Glaucio H.
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 04.06.2009 Wiley
Subjects:	BEM boundary element method branch functions Computational techniques Convergence Enrichment Exact sciences and technology extended FEM Finite element method fracture Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) generalized FEM GFEM/X-FEM mapping method Mathematical analysis Mathematical methods in physics Mathematical models Physics singular enrichment functions Singularities Solid mechanics Structural and continuum mechanics Three dimensional Two dimensional weakly singular integration Singularity Generalized function Rupture BEM extended FEM Modeling fracture Finite element method generalized FEM GFEM/X-FEM branch functions weakly singular integration mapping method Boundary element method singular enrichment functions eXtended Finite Element Method
ISSN:	0029-5981, 1097-0207
Online Access:	Get full text
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