An extended wavelet Galerkin method with a high-order B-spline for 2D crack problems
Acta Mechanica 226 巻
2159-2175 頁
2015-02-11 発行
アクセス数 : 18 件
ダウンロード数 : 15 件
今月のアクセス数 : 17 件
今月のダウンロード数 : 14 件
この文献の参照には次のURLをご利用ください : https://ir.lib.hiroshima-u.ac.jp/00056178
| ファイル情報(添付) | |
| タイトル ( eng ) |
An extended wavelet Galerkin method with a high-order B-spline for 2D crack problems
|
| 作成者 |
Tanaka Satoyuki
Suzuki Hirotaka
Ueda Shigeyuki
Sannomaru Shogo
|
| 収録物名 |
Acta Mechanica
|
| 巻 | 226 |
| 開始ページ | 2159 |
| 終了ページ | 2175 |
| 抄録 |
Two-dimensional (2D) crack problems are solved employing a novel technique based on a combination of wavelet Galerkin method and X-FEM with a high-order interpolant. Multiresolution analysis of the wavelet basis functions (scaling/wavelet functions) plays an important role in the numerical simulation. High-order B-spline scaling/wavelet functions are chosen as the basis functions. Severe stress concentration near a crack tip is represented by superposing the multiresolution wavelet functions. In addition, the crack modeling is easy to treat by introducing enrichment functions of the X-FEM. In the proposed approach, the governing equation is discretized based on fixed grid, and fracture mechanics problems with complicated shaped geometries can be analyzed effectively, reducing the model generation tasks. 2D linear fracture mechanics problems are solved, and the accuracy is studied for numerical examples.
|
| 内容記述 |
This research was partially supported by the Grant for Young Researchers from the JGC-S Scholarship Foundation.
|
| 言語 |
英語
|
| 資源タイプ | 学術雑誌論文 |
| 出版者 |
Springer
|
| 発行日 | 2015-02-11 |
| 権利情報 |
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00707-015-1306-6
This is not the published version. Please cite only the published version.
この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。
|
| 出版タイプ | Accepted Manuscript（出版雑誌の一論文として受付されたもの。内容とレイアウトは出版社の投稿様式に沿ったもの） |
| アクセス権 | オープンアクセス |
| 収録物識別子 |
[DOI] https://doi.org/10.1007/s00707-015-1306-6
～の異版である
|
