Elastic-plastic fracture mechanics analysis using wavelet Galerkin method
In this study, elastic-plastic fracture mechanics analysis are carried out for two-dimensional (2D) solids using the wavelet Galerkin method (WGM) and the extended finite element method (X-FEM). In the proposed approach, severe stress concentration near crack tip is approximated by multilevel wavele...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | Japanese |
| Published: |
The Japan Society of Mechanical Engineers
2014-11-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/80/819/80_2014cm0333/_pdf/-char/en |
| _version_ | 1798019081274654720 |
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| author | Shuya UEDA Satoyuki TANAKA Shogo SANNOMARU Shigenobu OKAZAWA Hiroshi OKADA |
| author_facet | Shuya UEDA Satoyuki TANAKA Shogo SANNOMARU Shigenobu OKAZAWA Hiroshi OKADA |
| author_sort | Shuya UEDA |
| collection | DOAJ |
| description | In this study, elastic-plastic fracture mechanics analysis are carried out for two-dimensional (2D) solids using the wavelet Galerkin method (WGM) and the extended finite element method (X-FEM). In the proposed approach, severe stress concentration near crack tip is approximated by multilevel wavelet basis functions. In addition, discontinuous enrichment functions and tip enrichment functions of the X-FEM are introduced to represent crack geometry in the WGM. To discuss elastic-plastic stress field near crack tip, J-integral and HRR (Hutchinson-Rice-Rosengren) singular stress fields are evaluated. In numerical examples, elastic-plastic fracture mechanics analyses of 2D solids are analyzed to verify the proposed approach, and accuracy of the numerical results is critically examined. |
| first_indexed | 2024-04-11T16:34:45Z |
| format | Article |
| id | doaj.art-735a7b5645b14d6cb3c3bf6948c4f700 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-11T16:34:45Z |
| publishDate | 2014-11-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-735a7b5645b14d6cb3c3bf6948c4f7002022-12-22T04:13:52ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612014-11-0180819CM0333CM033310.1299/transjsme.2014cm0333transjsmeElastic-plastic fracture mechanics analysis using wavelet Galerkin methodShuya UEDA0Satoyuki TANAKA1Shogo SANNOMARU2Shigenobu OKAZAWA3Hiroshi OKADA4Graduate School of Engineering, Hiroshima UniversityGraduate School of Engineering, Hiroshima UniversityGraduate School of Engineering, Hiroshima UniversityGraduate School of Engineering, Hiroshima UniversityDepartment of Mechanical Engineering, Faculty of Science and Technology, Tokyo University of ScienceIn this study, elastic-plastic fracture mechanics analysis are carried out for two-dimensional (2D) solids using the wavelet Galerkin method (WGM) and the extended finite element method (X-FEM). In the proposed approach, severe stress concentration near crack tip is approximated by multilevel wavelet basis functions. In addition, discontinuous enrichment functions and tip enrichment functions of the X-FEM are introduced to represent crack geometry in the WGM. To discuss elastic-plastic stress field near crack tip, J-integral and HRR (Hutchinson-Rice-Rosengren) singular stress fields are evaluated. In numerical examples, elastic-plastic fracture mechanics analyses of 2D solids are analyzed to verify the proposed approach, and accuracy of the numerical results is critically examined.https://www.jstage.jst.go.jp/article/transjsme/80/819/80_2014cm0333/_pdf/-char/enwavelet galerkin methodfracture mechanics analysiselasto-plasticitymeshfree methodenrichment function |
| spellingShingle | Shuya UEDA Satoyuki TANAKA Shogo SANNOMARU Shigenobu OKAZAWA Hiroshi OKADA Elastic-plastic fracture mechanics analysis using wavelet Galerkin method Nihon Kikai Gakkai ronbunshu wavelet galerkin method fracture mechanics analysis elasto-plasticity meshfree method enrichment function |
| title | Elastic-plastic fracture mechanics analysis using wavelet Galerkin method |
| title_full | Elastic-plastic fracture mechanics analysis using wavelet Galerkin method |
| title_fullStr | Elastic-plastic fracture mechanics analysis using wavelet Galerkin method |
| title_full_unstemmed | Elastic-plastic fracture mechanics analysis using wavelet Galerkin method |
| title_short | Elastic-plastic fracture mechanics analysis using wavelet Galerkin method |
| title_sort | elastic plastic fracture mechanics analysis using wavelet galerkin method |
| topic | wavelet galerkin method fracture mechanics analysis elasto-plasticity meshfree method enrichment function |
| url | https://www.jstage.jst.go.jp/article/transjsme/80/819/80_2014cm0333/_pdf/-char/en |
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