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 OkadaTitle：Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin methodAnnouncement information:Engineering Analysis with Boundary Elements Vol: 58 Page: 129–139An 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.