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General analytical solution for stress intensity factor of a hypocycloid hole with many cusps in an infinite plate.


Citation

Nik Long, Nik Mohd Asri and Yaghobifar, Mohammad (2011) General analytical solution for stress intensity factor of a hypocycloid hole with many cusps in an infinite plate. Philosophical Magazine Letters, 91 (4). pp. 256-263. ISSN 0950-0839; ESSN:1362-3036

Abstract

In this article, the problem for the determination of the displacement functions and the stress intensity factors (SIFs) around a boundary of a hypocycloid hole with cusps in an infinite elastic plate subject to normal and shear stresses are presented. A hole with cusps (hypocycloid) is mapped onto a unit circle and the modified complex potential is used for solving the relevant boundary value problems. An analytical solution for the SIF of a hypocycloid hole is obtained. For a special case, our results agree with others.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1080/09500839.2011.552447
Publisher: Taylor & Francis
Keywords: Hypocycloid hole; Stress intensity factor; Conformal mapping; Modifield complex potential; Deformation.
Depositing User: Nur Farahin Ramli
Date Deposited: 27 Aug 2013 04:11
Last Modified: 16 Dec 2015 04:25
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1080/09500839.2011.552447
URI: http://psasir.upm.edu.my/id/eprint/24852
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