Evaluation on reproduction of priori knowledge in XFEM

Kazuki Shibanuma; Tomoaki Utsunomiya

doi:10.1016/j.finel.2010.11.007

Evaluation on reproduction of priori knowledge in XFEM

Kazuki Shibanuma, Tomoaki Utsunomiya

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

The XFEM is a numerical method which employs an approximation including the priori knowledge of the solution by using the concept of enrichment in a local area. In this paper, the reproductions of the priori knowledge in the original XFEM and the PUFEM-based XFEM for the crack analysis were evaluated, respectively. The results showed that there is a serious lack of the reproduction of the priori knowledge in the local enrichment area close to the crack tip in case of the original XFEM. On the other hand, it was shown that the priori knowledge can be accurately reproduced over the entire enrichment in the PUFEM-based XFEM.

Original language	English
Pages (from-to)	424-433
Number of pages	10
Journal	Finite Elements in Analysis and Design
Volume	47
Issue number	4
DOIs	https://doi.org/10.1016/j.finel.2010.11.007
Publication status	Published - Apr 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Engineering(all)
Computer Graphics and Computer-Aided Design
Applied Mathematics

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10.1016/j.finel.2010.11.007

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title = "Evaluation on reproduction of priori knowledge in XFEM",

abstract = "The XFEM is a numerical method which employs an approximation including the priori knowledge of the solution by using the concept of enrichment in a local area. In this paper, the reproductions of the priori knowledge in the original XFEM and the PUFEM-based XFEM for the crack analysis were evaluated, respectively. The results showed that there is a serious lack of the reproduction of the priori knowledge in the local enrichment area close to the crack tip in case of the original XFEM. On the other hand, it was shown that the priori knowledge can be accurately reproduced over the entire enrichment in the PUFEM-based XFEM.",

author = "Kazuki Shibanuma and Tomoaki Utsunomiya",

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AU - Utsunomiya, Tomoaki

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Evaluation on reproduction of priori knowledge in XFEM

Abstract

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