Stress intensity factor for multiple cracks in half plane elasticity
The multiple cracks problem in an elastic half-plane is formulated into singular integral equation using the modified complex potential with free traction boundary condition. A system of singular integral equations is obtained with the distribution dislocation function as unknown, and the traction a...
| 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/57299/1/Stress%20intensity%20factor%20for%20multiple%20cracks%20in%20half%20plane%20elasticity.pdf |
| _version_ | 1825931584940802048 |
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| author | Elfakhakhre, Nawara R. F. Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. |
| author_facet | Elfakhakhre, Nawara R. F. Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. |
| author_sort | Elfakhakhre, Nawara R. F. |
| collection | UPM |
| description | The multiple cracks problem in an elastic half-plane is formulated into singular integral equation using the modified complex potential with free traction boundary condition. A system of singular integral equations is obtained with the distribution dislocation function as unknown, and the traction applied on the crack faces as the right hand terms. With the help of the curved length coordinate method and Gauss quadrature rule, the resulting system is solved numerically. The stress intensity factor (SIF) can be obtained from the unknown coefficients. Numerical examples exhibit that our results are in good agreement with the previous works, and it is found that the SIF increase as the cracks approaches the boundary of half plane. |
| first_indexed | 2024-03-06T09:28:58Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57299 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:28:58Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-572992017-09-26T03:58:44Z http://psasir.upm.edu.my/id/eprint/57299/ Stress intensity factor for multiple cracks in half plane elasticity Elfakhakhre, Nawara R. F. Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. The multiple cracks problem in an elastic half-plane is formulated into singular integral equation using the modified complex potential with free traction boundary condition. A system of singular integral equations is obtained with the distribution dislocation function as unknown, and the traction applied on the crack faces as the right hand terms. With the help of the curved length coordinate method and Gauss quadrature rule, the resulting system is solved numerically. The stress intensity factor (SIF) can be obtained from the unknown coefficients. Numerical examples exhibit that our results are in good agreement with the previous works, and it is found that the SIF increase as the cracks approaches the boundary of half plane. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57299/1/Stress%20intensity%20factor%20for%20multiple%20cracks%20in%20half%20plane%20elasticity.pdf Elfakhakhre, Nawara R. F. and Nik Long, Nik Mohd Asri and Eshkuvatov, Zainidin K. (2016) Stress intensity factor for multiple cracks in half plane elasticity. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8). 10.1063/1.4972154 |
| spellingShingle | Elfakhakhre, Nawara R. F. Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. Stress intensity factor for multiple cracks in half plane elasticity |
| title | Stress intensity factor for multiple cracks in half plane elasticity |
| title_full | Stress intensity factor for multiple cracks in half plane elasticity |
| title_fullStr | Stress intensity factor for multiple cracks in half plane elasticity |
| title_full_unstemmed | Stress intensity factor for multiple cracks in half plane elasticity |
| title_short | Stress intensity factor for multiple cracks in half plane elasticity |
| title_sort | stress intensity factor for multiple cracks in half plane elasticity |
| url | http://psasir.upm.edu.my/id/eprint/57299/1/Stress%20intensity%20factor%20for%20multiple%20cracks%20in%20half%20plane%20elasticity.pdf |
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