Singular integral equation for an edge crack originates at the interface of two bonded half-planes
This paper addresses an edge crack problem that originates at the interface of two bonded halfplanes. The crack undergoes constant shear stress. We formulate the singular integral equation (SIE) with the unknown dislocation distribution function and traction as the right-hand term, using the modif...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/113291/ http://psasir.upm.edu.my/id/eprint/113291/1/113291.pdf |
| _version_ | 1848866182807945216 |
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| author | Husin, Nur Hazirah Nik Long, Nik Mohd Asri Senu, Norazak Hamzah, Khairum |
| author_facet | Husin, Nur Hazirah Nik Long, Nik Mohd Asri Senu, Norazak Hamzah, Khairum |
| author_sort | Husin, Nur Hazirah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper addresses an edge crack problem that originates at the interface of two bonded halfplanes.
The crack undergoes constant shear stress. We formulate the singular integral equation (SIE) with the
unknown dislocation distribution function and traction as the right-hand term, using the modified complex
potentials and the continuity conditions of traction and displacement. The curve length coordinate method
is applied to transform the SIE of different edge crack configurations into the SIE for a straight line on the
real axis with the interval [0, a], thus requiring fewer collocation points. A semi-open quadrature rule is used
to solve the obtained SIE. The stress intensity factors (SIFs) of Mode I and Mode II at the crack’s tip are
analyzed. Some numerical examples are provided to demonstrate the behavior of SIFs for different edge crack
configurations with different values of the elastic constant ratio. |
| first_indexed | 2025-11-15T14:16:32Z |
| format | Article |
| id | upm-113291 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:16:32Z |
| publishDate | 2024 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1132912024-11-19T08:32:02Z http://psasir.upm.edu.my/id/eprint/113291/ Singular integral equation for an edge crack originates at the interface of two bonded half-planes Husin, Nur Hazirah Nik Long, Nik Mohd Asri Senu, Norazak Hamzah, Khairum This paper addresses an edge crack problem that originates at the interface of two bonded halfplanes. The crack undergoes constant shear stress. We formulate the singular integral equation (SIE) with the unknown dislocation distribution function and traction as the right-hand term, using the modified complex potentials and the continuity conditions of traction and displacement. The curve length coordinate method is applied to transform the SIE of different edge crack configurations into the SIE for a straight line on the real axis with the interval [0, a], thus requiring fewer collocation points. A semi-open quadrature rule is used to solve the obtained SIE. The stress intensity factors (SIFs) of Mode I and Mode II at the crack’s tip are analyzed. Some numerical examples are provided to demonstrate the behavior of SIFs for different edge crack configurations with different values of the elastic constant ratio. Springer 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/113291/1/113291.pdf Husin, Nur Hazirah and Nik Long, Nik Mohd Asri and Senu, Norazak and Hamzah, Khairum (2024) Singular integral equation for an edge crack originates at the interface of two bonded half-planes. Acta Mechanica, 235 (8). pp. 5107-5117. ISSN 0001-5970; eISSN: 1619-6937 https://link.springer.com/article/10.1007/s00707-024-03993-0 10.1007/s00707-024-03993-0 |
| spellingShingle | Husin, Nur Hazirah Nik Long, Nik Mohd Asri Senu, Norazak Hamzah, Khairum Singular integral equation for an edge crack originates at the interface of two bonded half-planes |
| title | Singular integral equation for an edge crack originates at the interface of two bonded half-planes |
| title_full | Singular integral equation for an edge crack originates at the interface of two bonded half-planes |
| title_fullStr | Singular integral equation for an edge crack originates at the interface of two bonded half-planes |
| title_full_unstemmed | Singular integral equation for an edge crack originates at the interface of two bonded half-planes |
| title_short | Singular integral equation for an edge crack originates at the interface of two bonded half-planes |
| title_sort | singular integral equation for an edge crack originates at the interface of two bonded half-planes |
| url | http://psasir.upm.edu.my/id/eprint/113291/ http://psasir.upm.edu.my/id/eprint/113291/ http://psasir.upm.edu.my/id/eprint/113291/ http://psasir.upm.edu.my/id/eprint/113291/1/113291.pdf |