Numerical solutions for a nearly circular crack with developing cusps under shear loading.
In this paper, we study the behavior of the solution at the crack edges for a nearly circular crack with developing cusps subject to shear loading. The problem of finding the resulting force can be written in the form of a hypersingular integral equation. The equation is then transformed into a simi...
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| Format: | Article |
| Language: | English English |
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Elsevier
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24978/ http://psasir.upm.edu.my/id/eprint/24978/1/Numerical%20solutions%20for%20a%20nearly%20circular%20crack%20with%20developing%20cusps%20under%20shear%20loading.pdf |
| _version_ | 1848845183750242304 |
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| author | Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. Koo, Lee Feng |
| author_facet | Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. Koo, Lee Feng |
| author_sort | Nik Long, Nik Mohd Asri |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we study the behavior of the solution at the crack edges for a nearly circular crack with developing cusps subject to shear loading. The problem of finding the resulting force can be written in the form of a hypersingular integral equation. The equation is then transformed into a similar equation over a circular region using conformal mapping. The equation is solved numerically for the unknown coefficients, which will later be used in finding the stress intensity factors. The sliding and tearing mode stress intensity factors are evaluated for cracks and displayed graphically. Our results seem to agree with the existing asymptotic solution. |
| first_indexed | 2025-11-15T08:42:46Z |
| format | Article |
| id | upm-24978 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:46Z |
| publishDate | 2011 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-249782015-12-16T04:37:54Z http://psasir.upm.edu.my/id/eprint/24978/ Numerical solutions for a nearly circular crack with developing cusps under shear loading. Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. Koo, Lee Feng In this paper, we study the behavior of the solution at the crack edges for a nearly circular crack with developing cusps subject to shear loading. The problem of finding the resulting force can be written in the form of a hypersingular integral equation. The equation is then transformed into a similar equation over a circular region using conformal mapping. The equation is solved numerically for the unknown coefficients, which will later be used in finding the stress intensity factors. The sliding and tearing mode stress intensity factors are evaluated for cracks and displayed graphically. Our results seem to agree with the existing asymptotic solution. Elsevier 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24978/1/Numerical%20solutions%20for%20a%20nearly%20circular%20crack%20with%20developing%20cusps%20under%20shear%20loading.pdf Nik Long, Nik Mohd Asri and Eshkuratov, Zainidin K. and Koo, Lee Feng (2011) Numerical solutions for a nearly circular crack with developing cusps under shear loading. Acta mechanica solida sinica , 24 (5). pp. 439-449. ISSN 0894-9166 http://www.elsevier.com/ 10.1016/S0894-9166(11)60043-8 English |
| spellingShingle | Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. Koo, Lee Feng Numerical solutions for a nearly circular crack with developing cusps under shear loading. |
| title | Numerical solutions for a nearly circular crack with developing cusps under shear loading. |
| title_full | Numerical solutions for a nearly circular crack with developing cusps under shear loading. |
| title_fullStr | Numerical solutions for a nearly circular crack with developing cusps under shear loading. |
| title_full_unstemmed | Numerical solutions for a nearly circular crack with developing cusps under shear loading. |
| title_short | Numerical solutions for a nearly circular crack with developing cusps under shear loading. |
| title_sort | numerical solutions for a nearly circular crack with developing cusps under shear loading. |
| url | http://psasir.upm.edu.my/id/eprint/24978/ http://psasir.upm.edu.my/id/eprint/24978/ http://psasir.upm.edu.my/id/eprint/24978/ http://psasir.upm.edu.my/id/eprint/24978/1/Numerical%20solutions%20for%20a%20nearly%20circular%20crack%20with%20developing%20cusps%20under%20shear%20loading.pdf |