Straight cracks in circular positions in plane elasticity
A system of hypersingular integral equation for the multiple straight cracks in a circular position in plane elasticity is formulated and presented. The center of the cracks are placed at the edge of a circle with radius R. The second crack in this problem is located in a different position based on...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57163/ http://psasir.upm.edu.my/id/eprint/57163/1/Straight%20cracks%20in%20circular%20positions%20in%20plane%20elasticity.pdf |
| _version_ | 1848853288380792832 |
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| author | Rafar, R. A. Nik Long, Nik Mohd Asri Senu, Norazak |
| author_facet | Rafar, R. A. Nik Long, Nik Mohd Asri Senu, Norazak |
| author_sort | Rafar, R. A. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A system of hypersingular integral equation for the multiple straight cracks in a circular position in plane elasticity is formulated and presented. The center of the cracks are placed at the edge of a circle with radius R. The second crack in this problem is located in a different position based on the varying angle, θ. The sraight cracks problem is reduced to a system of hypersingular integral equations by using the method of complex potential. With the help of particular quadrature rules, the unknown coefficients are solved numerically from the resulting system of hypersingular integral equations. The obtained unknown coefficients are then can be used for determining the stress intensity factor (SIF). To prove that the suggested method can be used to solve more complicated model cases of the cracks in circular positions, examples are given to demonstrate the behaviour of SIF for different crack positions. |
| first_indexed | 2025-11-15T10:51:35Z |
| format | Conference or Workshop Item |
| id | upm-57163 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:35Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571632017-09-08T05:32:22Z http://psasir.upm.edu.my/id/eprint/57163/ Straight cracks in circular positions in plane elasticity Rafar, R. A. Nik Long, Nik Mohd Asri Senu, Norazak A system of hypersingular integral equation for the multiple straight cracks in a circular position in plane elasticity is formulated and presented. The center of the cracks are placed at the edge of a circle with radius R. The second crack in this problem is located in a different position based on the varying angle, θ. The sraight cracks problem is reduced to a system of hypersingular integral equations by using the method of complex potential. With the help of particular quadrature rules, the unknown coefficients are solved numerically from the resulting system of hypersingular integral equations. The obtained unknown coefficients are then can be used for determining the stress intensity factor (SIF). To prove that the suggested method can be used to solve more complicated model cases of the cracks in circular positions, examples are given to demonstrate the behaviour of SIF for different crack positions. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57163/1/Straight%20cracks%20in%20circular%20positions%20in%20plane%20elasticity.pdf Rafar, R. A. and Nik Long, Nik Mohd Asri and Senu, Norazak (2016) Straight cracks in circular positions in plane elasticity. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-8). http://aip.scitation.org/doi/abs/10.1063/1.4952498 10.1063/1.4952498 |
| spellingShingle | Rafar, R. A. Nik Long, Nik Mohd Asri Senu, Norazak Straight cracks in circular positions in plane elasticity |
| title | Straight cracks in circular positions in plane elasticity |
| title_full | Straight cracks in circular positions in plane elasticity |
| title_fullStr | Straight cracks in circular positions in plane elasticity |
| title_full_unstemmed | Straight cracks in circular positions in plane elasticity |
| title_short | Straight cracks in circular positions in plane elasticity |
| title_sort | straight cracks in circular positions in plane elasticity |
| url | http://psasir.upm.edu.my/id/eprint/57163/ http://psasir.upm.edu.my/id/eprint/57163/ http://psasir.upm.edu.my/id/eprint/57163/ http://psasir.upm.edu.my/id/eprint/57163/1/Straight%20cracks%20in%20circular%20positions%20in%20plane%20elasticity.pdf |