Citation
Koo, Lee Feng and Nik Long, Nik Mohd Asri and Eshkuratov, Zainidin K.
(2011)
Computation of energy release rates for a nearly circular crack.
Mathematical Problems in Engineering, 2011 (741075).
pp. 1-17.
ISSN 1024-123X
Abstract
This paper deals with a nearly circular crack, in the plane elasticity. The problem of finding the resulting shear stress can be formulated as a hypersingular integral equation over a considered domain, and it is then transformed into a similar equation over a circular region, D, using conformal mapping. Appropriate collocation points are chosen on the region D to reduce the hypersingular integral equation into a system of linear equations with (2N+1)(N+1) unknown coefficients, which will later be used in the determination of energy release rate. Numerical results for energy release rate are compared with the existing asymptotic solution and are displayed graphically.
Download File
Official URL or Download Paper: http://www.hindawi.com/
|
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2011/741075 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Nearly circular crack; Plane elasticity; Shear stress; Hypersingular integral equation; Conformal mapping; Energy release rate. |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 27 Aug 2013 04:38 |
| Last Modified: | 22 Sep 2015 00:05 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2011/741075 |
| URI: | http://psasir.upm.edu.my/id/eprint/24854 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |