Singular patch method for linear elastic fracture mechanics analysis using isogeometric analysis
The singular patch method for isogeometric analysis (IGA) to represent the singular stress behavior in the vicinity of a crack tip for two-dimensional linear elastic fracture mechanics analysis is presented. The singular stress behavior can be realized by appropriately placing the control points in...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
The Japan Society of Mechanical Engineers
2022-12-01
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| Series: | Mechanical Engineering Journal |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/mej/9/6/9_22-00291/_pdf/-char/en |
| _version_ | 1811177651330613248 |
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| author | Hiroshi OKADA Daichi NAKAHARA Ayaka NAGASHIMA Rino WATANABE Yusuke SUNAOKA Yasunori YUSA Yuto OTOGURO |
| author_facet | Hiroshi OKADA Daichi NAKAHARA Ayaka NAGASHIMA Rino WATANABE Yusuke SUNAOKA Yasunori YUSA Yuto OTOGURO |
| author_sort | Hiroshi OKADA |
| collection | DOAJ |
| description | The singular patch method for isogeometric analysis (IGA) to represent the singular stress behavior in the vicinity of a crack tip for two-dimensional linear elastic fracture mechanics analysis is presented. The singular stress behavior can be realized by appropriately placing the control points in the finite element method. This paper describes the general procedure to choose their positions when the quadratic B-spline functions are used for the IGA discretization. The accuracy of the proposed singular patch method is critically examined through evaluated stress intensity factors (SIFs) by the J-integral method and stress distributions in the vicinity of the crack tip. The results of the computations using the singular patch method are found to be very accurate. |
| first_indexed | 2024-04-11T06:04:47Z |
| format | Article |
| id | doaj.art-ec2498ba5e9d4f3abe6b7a9ba47e63cd |
| institution | Directory Open Access Journal |
| issn | 2187-9745 |
| language | English |
| last_indexed | 2024-04-11T06:04:47Z |
| publishDate | 2022-12-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Mechanical Engineering Journal |
| spelling | doaj.art-ec2498ba5e9d4f3abe6b7a9ba47e63cd2022-12-22T04:41:32ZengThe Japan Society of Mechanical EngineersMechanical Engineering Journal2187-97452022-12-019622-0029122-0029110.1299/mej.22-00291mejSingular patch method for linear elastic fracture mechanics analysis using isogeometric analysisHiroshi OKADA0Daichi NAKAHARA1Ayaka NAGASHIMA2Rino WATANABE3Yusuke SUNAOKA4Yasunori YUSA5Yuto OTOGURO6Department of Mechanical Engineering, Faculty of Science and Technology, Tokyo University of ScienceDepartment of Mechanical Engineering, Graduate School of Science and Technology, Tokyo University of ScienceDepartment of Mechanical Engineering, Graduate School of Science and Technology, Tokyo University of ScienceDepartment of Mechanical Engineering, Graduate School of Science and Technology, Tokyo University of ScienceDepartment of Mechanical Engineering, Graduate School of Science and Technology, Tokyo University of ScienceDepartment of Mechanical and Intelligent Systems Engineering, Graduate School of Informatics and Engineering The University of Electro-CommunicationsDepartment of Mechanical Engineering, Faculty of Science and Technology, Tokyo University of ScienceThe singular patch method for isogeometric analysis (IGA) to represent the singular stress behavior in the vicinity of a crack tip for two-dimensional linear elastic fracture mechanics analysis is presented. The singular stress behavior can be realized by appropriately placing the control points in the finite element method. This paper describes the general procedure to choose their positions when the quadratic B-spline functions are used for the IGA discretization. The accuracy of the proposed singular patch method is critically examined through evaluated stress intensity factors (SIFs) by the J-integral method and stress distributions in the vicinity of the crack tip. The results of the computations using the singular patch method are found to be very accurate.https://www.jstage.jst.go.jp/article/mej/9/6/9_22-00291/_pdf/-char/enisogeometric analysis (iga)linear elastic fracture mechanics (lefm)stress singularityj-integralstress intensity factor (sif) |
| spellingShingle | Hiroshi OKADA Daichi NAKAHARA Ayaka NAGASHIMA Rino WATANABE Yusuke SUNAOKA Yasunori YUSA Yuto OTOGURO Singular patch method for linear elastic fracture mechanics analysis using isogeometric analysis Mechanical Engineering Journal isogeometric analysis (iga) linear elastic fracture mechanics (lefm) stress singularity j-integral stress intensity factor (sif) |
| title | Singular patch method for linear elastic fracture mechanics analysis using isogeometric analysis |
| title_full | Singular patch method for linear elastic fracture mechanics analysis using isogeometric analysis |
| title_fullStr | Singular patch method for linear elastic fracture mechanics analysis using isogeometric analysis |
| title_full_unstemmed | Singular patch method for linear elastic fracture mechanics analysis using isogeometric analysis |
| title_short | Singular patch method for linear elastic fracture mechanics analysis using isogeometric analysis |
| title_sort | singular patch method for linear elastic fracture mechanics analysis using isogeometric analysis |
| topic | isogeometric analysis (iga) linear elastic fracture mechanics (lefm) stress singularity j-integral stress intensity factor (sif) |
| url | https://www.jstage.jst.go.jp/article/mej/9/6/9_22-00291/_pdf/-char/en |
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