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Hypersingular integral equation for triple circular arc cracks in an elastic half-plane

Triple circular arc cracks problems subjected to shear stress in half-plane elasticity is investigated. Modified complex potentials (MCP) with the free traction boundary condition are applied to formulate the hypersingular integral equation (HSIE) for the problems. The unknown crack opening displace...

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Main Authors: Husin, Nur Hazirah, Nik Long, Nik Mohd Asri, Senu, Norazak
Format: Article
Language:English
Published: Universiti Putra Malaysia 2021
Online Access:http://psasir.upm.edu.my/id/eprint/97586/1/Nik%20Long%2C%20N.%20M.%20A.-387-396.pdf
http://psasir.upm.edu.my/id/eprint/97586/
https://mjms.upm.edu.my/lihatmakalah.php?kod=2021/September/15/3/387-396
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spelling my.upm.eprints.975862022-07-25T02:56:32Z http://psasir.upm.edu.my/id/eprint/97586/ Hypersingular integral equation for triple circular arc cracks in an elastic half-plane Husin, Nur Hazirah Nik Long, Nik Mohd Asri Senu, Norazak Triple circular arc cracks problems subjected to shear stress in half-plane elasticity is investigated. Modified complex potentials (MCP) with the free traction boundary condition are applied to formulate the hypersingular integral equation (HSIE) for the problems. The unknown crack opening displacements (COD) of the HSIE are solved numerically by using the appropriate quadrature formulas. Mode I and Mode II of nondimensional stress intensity factor (SIF) at all cracks tips are presented for the problems of three adjacent circular arc cracks, three circular arc cracks with dissimilar radius and three circular arc cracks in series in a half-plane. The results exhibit that as the crack opening angle increases and the distance of cracks closer to the boundary of half-plane, the nondimensional SIF increases. This indicates that the strength of material becomes weaker and the tendency of material to fail is higher. Universiti Putra Malaysia 2021 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/97586/1/Nik%20Long%2C%20N.%20M.%20A.-387-396.pdf Husin, Nur Hazirah and Nik Long, Nik Mohd Asri and Senu, Norazak (2021) Hypersingular integral equation for triple circular arc cracks in an elastic half-plane. Malaysian Journal of Mathematical Sciences, 15 (3). 387 - 396. ISSN 1823-8343 https://mjms.upm.edu.my/lihatmakalah.php?kod=2021/September/15/3/387-396
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
description Triple circular arc cracks problems subjected to shear stress in half-plane elasticity is investigated. Modified complex potentials (MCP) with the free traction boundary condition are applied to formulate the hypersingular integral equation (HSIE) for the problems. The unknown crack opening displacements (COD) of the HSIE are solved numerically by using the appropriate quadrature formulas. Mode I and Mode II of nondimensional stress intensity factor (SIF) at all cracks tips are presented for the problems of three adjacent circular arc cracks, three circular arc cracks with dissimilar radius and three circular arc cracks in series in a half-plane. The results exhibit that as the crack opening angle increases and the distance of cracks closer to the boundary of half-plane, the nondimensional SIF increases. This indicates that the strength of material becomes weaker and the tendency of material to fail is higher.
format Article
author Husin, Nur Hazirah
Nik Long, Nik Mohd Asri
Senu, Norazak
spellingShingle Husin, Nur Hazirah
Nik Long, Nik Mohd Asri
Senu, Norazak
Hypersingular integral equation for triple circular arc cracks in an elastic half-plane
author_facet Husin, Nur Hazirah
Nik Long, Nik Mohd Asri
Senu, Norazak
author_sort Husin, Nur Hazirah
title Hypersingular integral equation for triple circular arc cracks in an elastic half-plane
title_short Hypersingular integral equation for triple circular arc cracks in an elastic half-plane
title_full Hypersingular integral equation for triple circular arc cracks in an elastic half-plane
title_fullStr Hypersingular integral equation for triple circular arc cracks in an elastic half-plane
title_full_unstemmed Hypersingular integral equation for triple circular arc cracks in an elastic half-plane
title_sort hypersingular integral equation for triple circular arc cracks in an elastic half-plane
publisher Universiti Putra Malaysia
publishDate 2021
url http://psasir.upm.edu.my/id/eprint/97586/1/Nik%20Long%2C%20N.%20M.%20A.-387-396.pdf
http://psasir.upm.edu.my/id/eprint/97586/
https://mjms.upm.edu.my/lihatmakalah.php?kod=2021/September/15/3/387-396
_version_ 1739829914472808448
score 13.211869

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