Numerical solution for an epicycloid crack

Citation

Nik Long, Nik Mohd Asri and Koo, Lee Feng and Wong, Tze Jin and Eshkuvatov, Zainidin K. (2014) Numerical solution for an epicycloid crack. Journal of Applied Mathematics, 2014. art. no. 213478. pp. 1-12. ISSN 1110-757X; ESSN: 1687-0042

Abstract

A flat crack, , is lying in a three-dimensional homogenous isotropic elastic solid subjected to shear loading. A mathematical formulation is developed based on the mixed boundary values for such that the problem of finding the resulting force can be written in the form of hypersingular integral equation. Employing conformal mapping, the integral equation is transformed to a similar equation over a circular region, . By making a suitable representation of hypersingular integral equation, the problem is reduced to solve a system of linear equations. Numerical solution for the shear stress intensity factors, maximum stress intensity, and strain energy release rate is obtained. Our results give an excellent agreement to the existing asymptotic solutions.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Agriculture and Food Sciences Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1155/2014/213478
Publisher:	Hindawi Publishing Corporation
Keywords:	Numerical solution; Epicycloid crack
Depositing User:	Nurul Ainie Mokhtar
Date Deposited:	18 Dec 2015 01:35
Last Modified:	18 Dec 2015 01:35
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/213478
URI:	http://psasir.upm.edu.my/id/eprint/34684
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