UPM Institutional Repository

Stress intensity factor for multiple cracks in half plane elasticity


Elfakhakhre, Nawara R. F. and Nik Long, Nik Mohd Asri and Eshkuvatov, Zainidin K. (2016) Stress intensity factor for multiple cracks in half plane elasticity. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8).


The multiple cracks problem in an elastic half-plane is formulated into singular integral equation using the modified complex potential with free traction boundary condition. A system of singular integral equations is obtained with the distribution dislocation function as unknown, and the traction applied on the crack faces as the right hand terms. With the help of the curved length coordinate method and Gauss quadrature rule, the resulting system is solved numerically. The stress intensity factor (SIF) can be obtained from the unknown coefficients. Numerical examples exhibit that our results are in good agreement with the previous works, and it is found that the SIF increase as the cracks approaches the boundary of half plane.

Download File

PDF (Abstract)
Stress intensity factor for multiple cracks in half plane elasticity.pdf

Download (34kB) | Preview

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4972154
Publisher: AIP Publishing
Keywords: Cracks; Stress intensity factor; Half-plane; Elasticity
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 03:58
Last Modified: 26 Sep 2017 03:58
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4972154
URI: http://psasir.upm.edu.my/id/eprint/57299
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item