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Numerical solution for an almost square crack


Citation

Koo, Lee Feng and Nik Long, Nik Mohd Asri and Eshkuvatov, Zainidin K. and Wong, Tze Jin (2014) Numerical solution for an almost square crack. In: 3rd International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12–14 Aug. 2014, Langkawi, Kedah. (pp. 125-130).

Abstract

This paper studied the behaviour of the solution for an almost square crack, Ω, in the plane elasticity. The problem of sliding the resulting shear forces can be formulated as a hypersingular integral equation over a considered domain, Ω. The sharp corner of the square is rounded up such that the stress singularity is kept uniform form along the entire crack contour. The equation is then transformed into a similar hypersingular integral equation over a circular disc, D, using conformal mapping. The transformed hypersingular integral equation is afterward reduced to a system of linear algebraic equations using Galerkin method. The system of linear equations is solved numerically for the unknown coefficients, which later will be used in determining the stress intensity factors, maximum stress intensity and energy release rate. Comparison with the existing asymptotic solutions show a good agreement.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Agriculture and Food Sciences
Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4903573
Publisher: AIP Publishing LLC
Keywords: Hypersingular boundary integral equation; Conformal mapping; Stress intensity factors; Energy release rate; Galerkin method
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 19 Sep 2016 07:13
Last Modified: 19 Sep 2016 07:13
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4903573
URI: http://psasir.upm.edu.my/id/eprint/34683
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