Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method
Engineering Analysis with Boundary Elements Volume 58
Page 129-139
published_at 2015-04-30
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| File | |
| Title ( eng ) |
Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method
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| Creator |
Sannomaru Shogo
Imachi Michiya
Hagihara Seiya
Okada Hiroshi
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| Source Title |
Engineering Analysis with Boundary Elements
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| Volume | 58 |
| Start Page | 129 |
| End Page | 139 |
| Abstract |
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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| Keywords |
Wavelet Galerkin method
Meshfree method
Dynamic analysis
X-FEM
Stress intensity factor
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| Descriptions |
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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| Language |
eng
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| Resource Type | journal article |
| Publisher |
Elsevier
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| Date of Issued | 2015-04-30 |
| Rights |
© <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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| Publish Type | Accepted Manuscript |
| Access Rights | open access |
| Source Identifier |
[DOI] https://doi.org/10.1016/j.enganabound.2015.04.003
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