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...

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Main Authors: Dahalan, Noraini, Nik Long, Nik Mohd Asri, Eshkuvatov, Zainidin K.
Format: Article
Language:English
Published: Universiti Putra Malaysia Press 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30243/1/30243.pdf
http://psasir.upm.edu.my/id/eprint/30243/
http://einspem.upm.edu.my/journal/volume7.1.php
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Dahalan, Noraini
Nik Long, Nik Mohd Asri
Eshkuvatov, Zainidin K.
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
author_facet Dahalan, Noraini
Nik Long, Nik Mohd Asri
Eshkuvatov, Zainidin K.
author_sort Dahalan, Noraini
title 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_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_sort mutiple curved crack problems in antiplane elasticity for circular region with traction free boundary
publisher Universiti Putra Malaysia Press
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30243/1/30243.pdf
http://psasir.upm.edu.my/id/eprint/30243/
http://einspem.upm.edu.my/journal/volume7.1.php
_version_ 1643830000067018752
score 13.222552