Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method
Engineering Analysis with Boundary Elements 58 巻
129-139 頁
2015-04-30 発行
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今月のダウンロード数 : 11 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/00055868
| ファイル情報(添付) | |
| タイトル ( eng ) |
Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method
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| 作成者 |
Sannomaru Shogo
Imachi Michiya
Hagihara Seiya
Okada Hiroshi
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| 収録物名 |
Engineering Analysis with Boundary Elements
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| 巻 | 58 |
| 開始ページ | 129 |
| 終了ページ | 139 |
| 抄録 |
Two-dimensional (2D) dynamic stress concentration problems are analyzed using the wavelet Galerkin method (WGM). Linear B-spline scaling/wavelet functions are employed. We introduce enrichment functions for the X-FEM to represent a crack geometry. In the WGM, low-resolution scaling functions are periodically located across the entire analysis domain to approximate deformations of a body. High-resolution wavelet functions and enrichment functions including crack tip singular fields are superposed on the scaling functions to represent the severe stress concentration around holes or crack tips. Heaviside functions are also enriched to treat the displacement discontinuity of the crack face. Multiresolution analysis of the wavelet basis functions plays an important role in the WGM. To simulate the transients, the wavelet Galerkin formulation is discretized using a Newmark-β time integration scheme. A path independent J-integral is adopted to evaluate the dynamic stress intensity factor (DSIF). We solve dynamic stress concentration problems and evaluate DSIF of 2D cracked solids. The accuracy and effectiveness of the proposed method are discussed through the numerical examples.
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| 著者キーワード |
Wavelet Galerkin method
Meshfree method
Dynamic analysis
X-FEM
Stress intensity factor
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| 内容記述 |
This research was partially supported by the Grant for Young Researchers from the JGC-S Scholarship Foundation. This work was performed under the Cooperative Research Program of Institute for Joining and Welding Research Institute, Osaka University.
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| 言語 |
英語
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| 資源タイプ | 学術雑誌論文 |
| 出版者 |
Elsevier
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| 発行日 | 2015-04-30 |
| 権利情報 |
© <2015>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/
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。
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| 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/10.1016/j.enganabound.2015.04.003
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