UPM Institutional Repository

Mutiple curved crack problems in antiplane elasticity for circular region with traction free boundary


Citation

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

Abstract

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.


Download File

[img]
Preview
PDF
30243.pdf

Download (832kB) | Preview
Official URL or Download Paper: http://einspem.upm.edu.my/journal/volume7.1.php

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Universiti Putra Malaysia Press
Keywords: Antiplane elasticity; Hypersingular integral equations; Crack opening displacement; Stress intensity factor
Depositing User: Umikalthom Abdullah
Date Deposited: 10 Sep 2014 04:35
Last Modified: 06 Apr 2016 02:24
URI: http://psasir.upm.edu.my/id/eprint/30243
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item