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...

Full description

Saved in:
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
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography:Computational Science and Engineering (CSE) program at the University of Illinois at Urbana-Champaign (UIUC)
ark:/67375/WNG-CJ0N19K4-F
istex:9825D6F94B4B903E16492BB6660447F1C3522640
Department of Civil and Environmental Engineering (CEE)
National Science Foundation - No. DMS-0611094
ArticleID:NME2530
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.2530