Mutiple curved crack problems in antiplane elasticity for circular region with traction free boundary
The multiple curved cracks in a circular region problem in antiplane elasticity is formulated in terms of hypersingular integral equation in conjunction with the complex variable function method. The obtained hypersingular integral equations are solved numerically using the curve length coordinate...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia Press
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30243/ http://psasir.upm.edu.my/id/eprint/30243/1/30243.pdf |
| _version_ | 1848846622088232960 |
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| author | Dahalan, Noraini Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. |
| author_facet | Dahalan, Noraini Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. |
| author_sort | Dahalan, Noraini |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The multiple curved cracks in a circular region problem in antiplane elasticity is formulated in terms of hypersingular integral equation in conjunction with the
complex variable function method. The obtained hypersingular integral equations are solved numerically using the curve length coordinate method, where the curved
crack configurations are mapped on the real axes s with intervals( , ) 1, 2,..., . i i − = a a n . Suitable scheme is used for the determination of the unknown functions. For numerical purposes only a particular case of doubly circular arc cracks is considered, and it is found that the stress intensity factors (SIFs) are higher as the cracks become closer to the circular boundary. |
| first_indexed | 2025-11-15T09:05:38Z |
| format | Article |
| id | upm-30243 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:38Z |
| publishDate | 2013 |
| publisher | Universiti Putra Malaysia Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-302432016-04-06T02:24:15Z http://psasir.upm.edu.my/id/eprint/30243/ Mutiple curved crack problems in antiplane elasticity for circular region with traction free boundary Dahalan, Noraini Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. The multiple curved cracks in a circular region problem in antiplane elasticity is formulated in terms of hypersingular integral equation in conjunction with the complex variable function method. The obtained hypersingular integral equations are solved numerically using the curve length coordinate method, where the curved crack configurations are mapped on the real axes s with intervals( , ) 1, 2,..., . i i − = a a n . Suitable scheme is used for the determination of the unknown functions. For numerical purposes only a particular case of doubly circular arc cracks is considered, and it is found that the stress intensity factors (SIFs) are higher as the cracks become closer to the circular boundary. Universiti Putra Malaysia Press 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30243/1/30243.pdf Dahalan, Noraini and Nik Long, Nik Mohd Asri and Eshkuvatov, Zainidin K. (2013) Mutiple curved crack problems in antiplane elasticity for circular region with traction free boundary. Malaysian Journal of Mathematical Sciences, 7 (1). pp. 59-78. ISSN 1823-8343 http://einspem.upm.edu.my/journal/volume7.1.php |
| spellingShingle | Dahalan, Noraini Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. Mutiple curved crack problems in antiplane elasticity for circular region with traction free boundary |
| title | Mutiple curved crack problems in antiplane elasticity for
circular region with traction free boundary |
| title_full | Mutiple curved crack problems in antiplane elasticity for
circular region with traction free boundary |
| title_fullStr | Mutiple curved crack problems in antiplane elasticity for
circular region with traction free boundary |
| title_full_unstemmed | Mutiple curved crack problems in antiplane elasticity for
circular region with traction free boundary |
| title_short | Mutiple curved crack problems in antiplane elasticity for
circular region with traction free boundary |
| title_sort | mutiple curved crack problems in antiplane elasticity for
circular region with traction free boundary |
| url | http://psasir.upm.edu.my/id/eprint/30243/ http://psasir.upm.edu.my/id/eprint/30243/ http://psasir.upm.edu.my/id/eprint/30243/1/30243.pdf |