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Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method

発表形態:
原著論文
主要業績:
主要業績
単著・共著:
共著
発表年月:
2015年04月
DOI:
10.1016/j.enganabound.2015.04.003
会議属性:
指定なし
査読:
有り
リンク情報:

日本語フィールド

著者:
Tanaka, Satoyuki; Sannomaru, Shogo; Imachi, Michiya; Hagihara, Seiya; Okazawa, Shigenobu; Okada, Hiroshi
題名:
Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method
発表情報:
Engineering Analysis with Boundary Elements 巻: 58 ページ: 129–139
キーワード:
概要:
© 2015 Elsevier Ltd. 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.
抄録:

英語フィールド

Author:
Satoyuki Tanaka, Shogo Sannomaru, Michiya Imachi, Seiya Hagihara, Shigenobu Okazawa, Hiroshi Okada
Title:
Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method
Announcement information:
Engineering Analysis with Boundary Elements Vol: 58 Page: 129–139
An abstract:
© 2015 Elsevier Ltd. 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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