Numerical solution for elliptical crack with developing cusps subject to shear loading.
This paper study the behavior of the solution at the crack edges for an elliptical crack with developing cusps, Ω in the plane elasticity subjected to shear loading. The problem of finding the resulting shear stress can be formulated as a hypersingular integral equation over Ω and it is then transfo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English English |
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World Academy of Science, Engineering and Technology (WASET)
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25116/ http://psasir.upm.edu.my/id/eprint/25116/1/Numerical%20solution%20for%20elliptical%20crack%20with%20developing%20cusps%20subject%20to%20shear%20loading.pdf |
| _version_ | 1848845221147705344 |
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| author | Nik Long, Nik Mohd Asri Koo, Lee Feng Eshkuratov, Zainidin K. Khaldjigitov, Abduvali |
| author_facet | Nik Long, Nik Mohd Asri Koo, Lee Feng Eshkuratov, Zainidin K. Khaldjigitov, Abduvali |
| author_sort | Nik Long, Nik Mohd Asri |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper study the behavior of the solution at the crack edges for an elliptical crack with developing cusps, Ω in the plane elasticity subjected to shear loading. The problem of finding the resulting shear stress can be formulated as a hypersingular integral equation over Ω and it is then transformed into a similar equation over a circular region, D, using conformal mapping. An appropriate collocation points are chosen on the region D to reduce
the hypersingular integral equation into a system of linear equations with (2N+1)(N+1) unknown coefficients, which will later be used in the determination of shear stress intensity factors and maximum shear stress intensity. Numerical solution for the considered problem are compared with the existing asymptotic solution, and displayed
graphically. Our results give a very good agreement to the existing asymptotic solutions. |
| first_indexed | 2025-11-15T08:43:22Z |
| format | Article |
| id | upm-25116 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:43:22Z |
| publishDate | 2011 |
| publisher | World Academy of Science, Engineering and Technology (WASET) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-251162015-12-16T04:34:35Z http://psasir.upm.edu.my/id/eprint/25116/ Numerical solution for elliptical crack with developing cusps subject to shear loading. Nik Long, Nik Mohd Asri Koo, Lee Feng Eshkuratov, Zainidin K. Khaldjigitov, Abduvali This paper study the behavior of the solution at the crack edges for an elliptical crack with developing cusps, Ω in the plane elasticity subjected to shear loading. The problem of finding the resulting shear stress can be formulated as a hypersingular integral equation over Ω and it is then transformed into a similar equation over a circular region, D, using conformal mapping. An appropriate collocation points are chosen on the region D to reduce the hypersingular integral equation into a system of linear equations with (2N+1)(N+1) unknown coefficients, which will later be used in the determination of shear stress intensity factors and maximum shear stress intensity. Numerical solution for the considered problem are compared with the existing asymptotic solution, and displayed graphically. Our results give a very good agreement to the existing asymptotic solutions. World Academy of Science, Engineering and Technology (WASET) 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25116/1/Numerical%20solution%20for%20elliptical%20crack%20with%20developing%20cusps%20subject%20to%20shear%20loading.pdf Nik Long, Nik Mohd Asri and Koo, Lee Feng and Eshkuratov, Zainidin K. and Khaldjigitov, Abduvali (2011) Numerical solution for elliptical crack with developing cusps subject to shear loading. World Academy of Science, Engineering and Technology, 58 (-). pp. 442-446. ISSN 2070-3724 http://www.waset.org/ English |
| spellingShingle | Nik Long, Nik Mohd Asri Koo, Lee Feng Eshkuratov, Zainidin K. Khaldjigitov, Abduvali Numerical solution for elliptical crack with developing cusps subject to shear loading. |
| title | Numerical solution for elliptical crack with developing cusps subject to shear loading. |
| title_full | Numerical solution for elliptical crack with developing cusps subject to shear loading. |
| title_fullStr | Numerical solution for elliptical crack with developing cusps subject to shear loading. |
| title_full_unstemmed | Numerical solution for elliptical crack with developing cusps subject to shear loading. |
| title_short | Numerical solution for elliptical crack with developing cusps subject to shear loading. |
| title_sort | numerical solution for elliptical crack with developing cusps subject to shear loading. |
| url | http://psasir.upm.edu.my/id/eprint/25116/ http://psasir.upm.edu.my/id/eprint/25116/ http://psasir.upm.edu.my/id/eprint/25116/1/Numerical%20solution%20for%20elliptical%20crack%20with%20developing%20cusps%20subject%20to%20shear%20loading.pdf |