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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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia
2021
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| Online Access: | http://psasir.upm.edu.my/id/eprint/97586/ http://psasir.upm.edu.my/id/eprint/97586/1/Nik%20Long%2C%20N.%20M.%20A.-387-396.pdf |
| _version_ | 1848862640143597568 |
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| author | Husin, Nur Hazirah Nik Long, Nik Mohd Asri Senu, Norazak |
| author_facet | Husin, Nur Hazirah Nik Long, Nik Mohd Asri Senu, Norazak |
| author_sort | Husin, Nur Hazirah |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T13:20:14Z |
| format | Article |
| id | upm-97586 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T13:20:14Z |
| publishDate | 2021 |
| publisher | Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Husin, Nur Hazirah Nik Long, Nik Mohd Asri Senu, Norazak Hypersingular integral equation for triple circular arc cracks in an elastic half-plane |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/97586/ http://psasir.upm.edu.my/id/eprint/97586/ http://psasir.upm.edu.my/id/eprint/97586/1/Nik%20Long%2C%20N.%20M.%20A.-387-396.pdf |