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Mathematical Problems in Engineering
Volume 2015, Article ID 637254, 10 pages
Research Article

Mode Stresses for the Interaction between an Inclined Crack and a Curved Crack in Plane Elasticity

1Mathematics Department, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
2Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
3College of Foundation and General Studies, Universiti Tenaga Nasional, 43000 Kajang, Selangor, Malaysia
4Faculty of Science and Technology, Universiti Sains Islam Malaysia (USIM), 71800 Negeri Sembilan, Malaysia

Received 22 September 2014; Accepted 8 December 2014

Academic Editor: Trung Nguyen-Thoi

Copyright © 2015 N. M. A. Nik Long et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The interaction between the inclined and curved cracks is studied. Using the complex variable function method, the formulation in hypersingular integral equations is obtained. The curved length coordinate method and suitable quadrature rule are used to solve the integral equations numerically for the unknown function, which are later used to evaluate the stress intensity factor. There are four cases of the mode stresses; Mode I, Mode II, Mode III, and Mix Mode are presented as the numerical examples.