XLME interpolants, a seamless bridge between XFEM and enriched meshless methods
- Authors
- Amiri, F.; Anitescu, C.; Arroyo, M.; Bordas, S. P. A.; Rabczuk, T.
- Issue Date
- 1월-2014
- Publisher
- SPRINGER
- Keywords
- Local maximum entropy; Convex approximation; Meshless methods; Extrinsic enrichment
- Citation
- COMPUTATIONAL MECHANICS, v.53, no.1, pp.45 - 57
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTATIONAL MECHANICS
- Volume
- 53
- Number
- 1
- Start Page
- 45
- End Page
- 57
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/99585
- DOI
- 10.1007/s00466-013-0891-2
- ISSN
- 0178-7675
- Abstract
- In this paper, we develop a method based on local maximum entropy shape functions together with enrichment functions used in partition of unity methods to discretize problems in linear elastic fracture mechanics. We obtain improved accuracy relative to the standard extended finite element method at a comparable computational cost. In addition, we keep the advantages of the LME shape functions, such as smoothness and non-negativity. We show numerically that optimal convergence (same as in FEM) for energy norm and stress intensity factors can be obtained through the use of geometric (fixed area) enrichment with no special treatment of the nodes near the crack such as blending or shifting.
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Collections - College of Engineering > College of Engineering > 1. Journal Articles
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