A new system of singular integral equations for a curvilinear crack in bonded materials
The modified complex potentials (MCPs) functions are used to develop a new system of singular integral equations (SIEs) for a curvilinear crack in the upper part of bonded materials subjected to shear mode stress with the help of continuity conditions for resultant force and displacement functions....
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
World Scientific Publishing
2021
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/95846/ |
| _version_ | 1848862234229342208 |
|---|---|
| author | Hamzah, Khairum Nik Long, Nik Mohd Asri Senu, Norazak Eshkuvatov, Zainidin K. |
| author_facet | Hamzah, Khairum Nik Long, Nik Mohd Asri Senu, Norazak Eshkuvatov, Zainidin K. |
| author_sort | Hamzah, Khairum |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The modified complex potentials (MCPs) functions are used to develop a new system of singular integral equations (SIEs) for a curvilinear crack in the upper part of bonded materials subjected to shear mode stress with the help of continuity conditions for resultant force and displacement functions. The unknown dislocation distribution function is mapped into a square root singularity function by using curved length coordinate method and the traction along the crack as the right hand term. The Gaussian quadrature rules were used to obtain the numerical solution for a new system of SIEs in order to compute the nondimensional stress
intensity factors (SIFs) for these problems. Our results agree with those of the previous works. The findings have revealed that the nondimensional SIFs depend on the elastic constant ratio,
crack geometries and the position of the cracks. |
| first_indexed | 2025-11-15T13:13:47Z |
| format | Article |
| id | upm-95846 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:13:47Z |
| publishDate | 2021 |
| publisher | World Scientific Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-958462023-03-28T04:56:46Z http://psasir.upm.edu.my/id/eprint/95846/ A new system of singular integral equations for a curvilinear crack in bonded materials Hamzah, Khairum Nik Long, Nik Mohd Asri Senu, Norazak Eshkuvatov, Zainidin K. The modified complex potentials (MCPs) functions are used to develop a new system of singular integral equations (SIEs) for a curvilinear crack in the upper part of bonded materials subjected to shear mode stress with the help of continuity conditions for resultant force and displacement functions. The unknown dislocation distribution function is mapped into a square root singularity function by using curved length coordinate method and the traction along the crack as the right hand term. The Gaussian quadrature rules were used to obtain the numerical solution for a new system of SIEs in order to compute the nondimensional stress intensity factors (SIFs) for these problems. Our results agree with those of the previous works. The findings have revealed that the nondimensional SIFs depend on the elastic constant ratio, crack geometries and the position of the cracks. World Scientific Publishing 2021 Article PeerReviewed Hamzah, Khairum and Nik Long, Nik Mohd Asri and Senu, Norazak and Eshkuvatov, Zainidin K. (2021) A new system of singular integral equations for a curvilinear crack in bonded materials. Journal of Physics: Conference Series, 1988. art. no. 012003. pp. 1-8. ISSN 2010-1945 https://iopscience.iop.org/article/10.1088/1742-6596/1988/1/012003 10.1088/1742-6596/1988/1/012003 |
| spellingShingle | Hamzah, Khairum Nik Long, Nik Mohd Asri Senu, Norazak Eshkuvatov, Zainidin K. A new system of singular integral equations for a curvilinear crack in bonded materials |
| title | A new system of singular integral equations for a curvilinear crack in bonded materials |
| title_full | A new system of singular integral equations for a curvilinear crack in bonded materials |
| title_fullStr | A new system of singular integral equations for a curvilinear crack in bonded materials |
| title_full_unstemmed | A new system of singular integral equations for a curvilinear crack in bonded materials |
| title_short | A new system of singular integral equations for a curvilinear crack in bonded materials |
| title_sort | new system of singular integral equations for a curvilinear crack in bonded materials |
| url | http://psasir.upm.edu.my/id/eprint/95846/ http://psasir.upm.edu.my/id/eprint/95846/ http://psasir.upm.edu.my/id/eprint/95846/ |