Numerical solutions for cracks in an elastic half plane
The behavior of the stress intensity factor at the tips of cracks subjected to uniaxial tension σ∞x=p with traction-free boundary condition in half-plane elasticity is investigated. The problem is formulated into singular integral equations with the distribution dislocation function as unknown. In t...
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| Format: | Article |
| Language: | English |
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Springer
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81502/ http://psasir.upm.edu.my/id/eprint/81502/1/Numerical%20solutions%20for%20cracks%20in%20an%20elastic%20half%20plane.pdf |
| _version_ | 1848859119471034368 |
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| author | Elfakhakhre, Nawara Rajab Fathullah Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. |
| author_facet | Elfakhakhre, Nawara Rajab Fathullah Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. |
| author_sort | Elfakhakhre, Nawara Rajab Fathullah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The behavior of the stress intensity factor at the tips of cracks subjected to uniaxial tension σ∞x=p with traction-free boundary condition in half-plane elasticity is investigated. The problem is formulated into singular integral equations with the distribution dislocation function as unknown. In the formulation, we make used of a modified complex potential. Based on the appropriate quadrature formulas together with a suitable choice of collocation points, the singular integral equations are reduced to a system of linear equations for the unknown coefficients. Numerical examples show that the values of the stress intensity factor are influenced by the distance from the cracks to the boundary of the half-plane and the configuration of the cracks. |
| first_indexed | 2025-11-15T12:24:16Z |
| format | Article |
| id | upm-81502 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:24:16Z |
| publishDate | 2019 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-815022020-10-30T21:01:33Z http://psasir.upm.edu.my/id/eprint/81502/ Numerical solutions for cracks in an elastic half plane Elfakhakhre, Nawara Rajab Fathullah Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. The behavior of the stress intensity factor at the tips of cracks subjected to uniaxial tension σ∞x=p with traction-free boundary condition in half-plane elasticity is investigated. The problem is formulated into singular integral equations with the distribution dislocation function as unknown. In the formulation, we make used of a modified complex potential. Based on the appropriate quadrature formulas together with a suitable choice of collocation points, the singular integral equations are reduced to a system of linear equations for the unknown coefficients. Numerical examples show that the values of the stress intensity factor are influenced by the distance from the cracks to the boundary of the half-plane and the configuration of the cracks. Springer 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81502/1/Numerical%20solutions%20for%20cracks%20in%20an%20elastic%20half%20plane.pdf Elfakhakhre, Nawara Rajab Fathullah and Nik Long, Nik Mohd Asri and Eshkuvatov, Zainidin K. (2019) Numerical solutions for cracks in an elastic half plane. Acta Mechanica Sinica, 35. pp. 212-227. ISSN 1614-3116; ESSN: 0567-7718 https://link.springer.com/article/10.1007/s10409-018-0803-y 10.1007/s10409-018-0803-y |
| spellingShingle | Elfakhakhre, Nawara Rajab Fathullah Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. Numerical solutions for cracks in an elastic half plane |
| title | Numerical solutions for cracks in an elastic half plane |
| title_full | Numerical solutions for cracks in an elastic half plane |
| title_fullStr | Numerical solutions for cracks in an elastic half plane |
| title_full_unstemmed | Numerical solutions for cracks in an elastic half plane |
| title_short | Numerical solutions for cracks in an elastic half plane |
| title_sort | numerical solutions for cracks in an elastic half plane |
| url | http://psasir.upm.edu.my/id/eprint/81502/ http://psasir.upm.edu.my/id/eprint/81502/ http://psasir.upm.edu.my/id/eprint/81502/ http://psasir.upm.edu.my/id/eprint/81502/1/Numerical%20solutions%20for%20cracks%20in%20an%20elastic%20half%20plane.pdf |