Numerical solutions for a nearly circular crack with developing cusps under shear loading.

In this paper, we study the behavior of the solution at the crack edges for a nearly circular crack with developing cusps subject to shear loading. The problem of finding the resulting force can be written in the form of a hypersingular integral equation. The equation is then transformed into a simi...

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Main Authors: Nik Long, Nik Mohd Asri, Eshkuratov, Zainidin K., Koo, Lee Feng
Format: Article
Language:English
English
Published: Elsevier 2011
Online Access:http://psasir.upm.edu.my/id/eprint/24978/1/Numerical%20solutions%20for%20a%20nearly%20circular%20crack%20with%20developing%20cusps%20under%20shear%20loading.pdf
http://psasir.upm.edu.my/id/eprint/24978/
http://www.elsevier.com/
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spelling my.upm.eprints.249782015-12-16T04:37:54Z http://psasir.upm.edu.my/id/eprint/24978/ Numerical solutions for a nearly circular crack with developing cusps under shear loading. Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. Koo, Lee Feng In this paper, we study the behavior of the solution at the crack edges for a nearly circular crack with developing cusps subject to shear loading. The problem of finding the resulting force can be written in the form of a hypersingular integral equation. The equation is then transformed into a similar equation over a circular region using conformal mapping. The equation is solved numerically for the unknown coefficients, which will later be used in finding the stress intensity factors. The sliding and tearing mode stress intensity factors are evaluated for cracks and displayed graphically. Our results seem to agree with the existing asymptotic solution. Elsevier 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24978/1/Numerical%20solutions%20for%20a%20nearly%20circular%20crack%20with%20developing%20cusps%20under%20shear%20loading.pdf Nik Long, Nik Mohd Asri and Eshkuratov, Zainidin K. and Koo, Lee Feng (2011) Numerical solutions for a nearly circular crack with developing cusps under shear loading. Acta mechanica solida sinica , 24 (5). pp. 439-449. ISSN 0894-9166 http://www.elsevier.com/ 10.1016/S0894-9166(11)60043-8 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description In this paper, we study the behavior of the solution at the crack edges for a nearly circular crack with developing cusps subject to shear loading. The problem of finding the resulting force can be written in the form of a hypersingular integral equation. The equation is then transformed into a similar equation over a circular region using conformal mapping. The equation is solved numerically for the unknown coefficients, which will later be used in finding the stress intensity factors. The sliding and tearing mode stress intensity factors are evaluated for cracks and displayed graphically. Our results seem to agree with the existing asymptotic solution.
format Article
author Nik Long, Nik Mohd Asri
Eshkuratov, Zainidin K.
Koo, Lee Feng
spellingShingle Nik Long, Nik Mohd Asri
Eshkuratov, Zainidin K.
Koo, Lee Feng
Numerical solutions for a nearly circular crack with developing cusps under shear loading.
author_facet Nik Long, Nik Mohd Asri
Eshkuratov, Zainidin K.
Koo, Lee Feng
author_sort Nik Long, Nik Mohd Asri
title Numerical solutions for a nearly circular crack with developing cusps under shear loading.
title_short Numerical solutions for a nearly circular crack with developing cusps under shear loading.
title_full Numerical solutions for a nearly circular crack with developing cusps under shear loading.
title_fullStr Numerical solutions for a nearly circular crack with developing cusps under shear loading.
title_full_unstemmed Numerical solutions for a nearly circular crack with developing cusps under shear loading.
title_sort numerical solutions for a nearly circular crack with developing cusps under shear loading.
publisher Elsevier
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/24978/1/Numerical%20solutions%20for%20a%20nearly%20circular%20crack%20with%20developing%20cusps%20under%20shear%20loading.pdf
http://psasir.upm.edu.my/id/eprint/24978/
http://www.elsevier.com/
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