Numerical solution for circular arc cracks in half plane elasticity
Numerical solutions for an elastic half plane with circular arc cracks subjected to uniaxial tension σ∞x = p is presented. The free traction on the boundary of the half plane is assumed. Based on the modified complex potential and superposition method, the problem is formulated into a singular inte...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Akademi Sains Malaysia
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81501/ http://psasir.upm.edu.my/id/eprint/81501/1/Numerical%20solution%20for%20circular%20arc%20cracks%20in%20half%20plane%20elasticity.pdf |
| _version_ | 1848859119229861888 |
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| author | Elfakhakhre, Nawara Rajab Fathullah Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. Senu, Norazak |
| author_facet | Elfakhakhre, Nawara Rajab Fathullah Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. Senu, Norazak |
| author_sort | Elfakhakhre, Nawara Rajab Fathullah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Numerical solutions for an elastic half plane with circular arc cracks subjected to uniaxial tension σ∞x = p is presented. The free traction on the boundary of the half plane is assumed.
Based on the modified complex potential and superposition method, the problem is formulated into a singular integral equation with the distribution dislocation function as unknown. Numerical examples exhibit the behavior of the stress intensity factor at the cracks tips for various positions. Our numerical results are in agreement with the existence one. |
| first_indexed | 2025-11-15T12:24:16Z |
| format | Article |
| id | upm-81501 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:24:16Z |
| publishDate | 2019 |
| publisher | Akademi Sains Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-815012020-10-30T21:12:57Z http://psasir.upm.edu.my/id/eprint/81501/ Numerical solution for circular arc cracks in half plane elasticity Elfakhakhre, Nawara Rajab Fathullah Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. Senu, Norazak Numerical solutions for an elastic half plane with circular arc cracks subjected to uniaxial tension σ∞x = p is presented. The free traction on the boundary of the half plane is assumed. Based on the modified complex potential and superposition method, the problem is formulated into a singular integral equation with the distribution dislocation function as unknown. Numerical examples exhibit the behavior of the stress intensity factor at the cracks tips for various positions. Our numerical results are in agreement with the existence one. Akademi Sains Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81501/1/Numerical%20solution%20for%20circular%20arc%20cracks%20in%20half%20plane%20elasticity.pdf Elfakhakhre, Nawara Rajab Fathullah and Nik Long, Nik Mohd Asri and Eshkuvatov, Zainidin K. and Senu, Norazak (2019) Numerical solution for circular arc cracks in half plane elasticity. ASM Science Journal, 12 (spec.1). pp. 82-91. ISSN 1823-6782 |
| spellingShingle | Elfakhakhre, Nawara Rajab Fathullah Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. Senu, Norazak Numerical solution for circular arc cracks in half plane elasticity |
| title | Numerical solution for circular arc cracks in half plane elasticity |
| title_full | Numerical solution for circular arc cracks in half plane elasticity |
| title_fullStr | Numerical solution for circular arc cracks in half plane elasticity |
| title_full_unstemmed | Numerical solution for circular arc cracks in half plane elasticity |
| title_short | Numerical solution for circular arc cracks in half plane elasticity |
| title_sort | numerical solution for circular arc cracks in half plane elasticity |
| url | http://psasir.upm.edu.my/id/eprint/81501/ http://psasir.upm.edu.my/id/eprint/81501/1/Numerical%20solution%20for%20circular%20arc%20cracks%20in%20half%20plane%20elasticity.pdf |