An explicit application of partition of unity approach to XFEM approximation for precise reproduction of a priori knowledge of solution

Kazuki Shibanuma, Tomoaki Utsunomiya, Shuji Aihara

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)

抄録

SUMMARY: The application of the XFEM to fracture mechanics is effective, because a crack can be modeled independently from the meshes and a complex remeshing procedure can be avoided. However, the classical XFEM has an essential problem in the approximation of partially enriched elements, that is, blending elements, which causes a lack of accuracy. For the weighted XFEM, although the numerical results show the effective improvements, it was found that the issue of blending elements still remains upon detailed examination. In the present paper, the PU-XFEM is formulated as an explicit application of the partition of unity (PU) approach to the XFEM, in order to precisely reproduce a priori knowledge of the solution by enrichment. The PU-XFEM is applied to two-dimensional linear fracture mechanics, and its effectiveness is verified. It is consequently found out that the PU-XFEM precisely reproduces a priori knowledge of the solution and is therefore effective to completely solve the problem of the blending elements.

本文言語英語
ページ(範囲)551-581
ページ数31
ジャーナルInternational Journal for Numerical Methods in Engineering
97
8
DOI
出版ステータス出版済み - 2 24 2014
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数値解析
  • 工学(全般)
  • 応用数学

フィンガープリント

「An explicit application of partition of unity approach to XFEM approximation for precise reproduction of a priori knowledge of solution」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル