Singular integral equations for a crack subjected normal stress in a heated plate
In this paper, a crack in a heated plate is investigated, subjected to normal stress. Employing the relationship between the uniform and perturbation fields, as well as complex potential functions and stresses, the problems of heat conduction and heat stress are modeled as singular integral equation...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Union of Researchers of Macedonia
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/117549/ http://psasir.upm.edu.my/id/eprint/117549/1/117549.pdf |
| _version_ | 1848867278755463168 |
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| author | Zhuang, S.K. Nik Long, N.M.A. Hamzah, K.B. Senu, N. |
| author_facet | Zhuang, S.K. Nik Long, N.M.A. Hamzah, K.B. Senu, N. |
| author_sort | Zhuang, S.K. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a crack in a heated plate is investigated, subjected to normal stress. Employing the relationship between the uniform and perturbation fields, as well as complex potential functions and stresses, the problems of heat conduction and heat stress are modeled as singular integral equations. The derivatives of the crack opening displacement function and the temperature jump function serve as the unknown functions. Gauss integration rules are applied to solve the obtained equations numerically. Analysis of the stress intensity factors(SIFs) for some particular crack configurations is presented. |
| first_indexed | 2025-11-15T14:33:58Z |
| format | Article |
| id | upm-117549 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:33:58Z |
| publishDate | 2024 |
| publisher | Union of Researchers of Macedonia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1175492025-05-29T06:49:26Z http://psasir.upm.edu.my/id/eprint/117549/ Singular integral equations for a crack subjected normal stress in a heated plate Zhuang, S.K. Nik Long, N.M.A. Hamzah, K.B. Senu, N. In this paper, a crack in a heated plate is investigated, subjected to normal stress. Employing the relationship between the uniform and perturbation fields, as well as complex potential functions and stresses, the problems of heat conduction and heat stress are modeled as singular integral equations. The derivatives of the crack opening displacement function and the temperature jump function serve as the unknown functions. Gauss integration rules are applied to solve the obtained equations numerically. Analysis of the stress intensity factors(SIFs) for some particular crack configurations is presented. Union of Researchers of Macedonia 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/117549/1/117549.pdf Zhuang, S.K. and Nik Long, N.M.A. and Hamzah, K.B. and Senu, N. (2024) Singular integral equations for a crack subjected normal stress in a heated plate. Advances in Mathematics: Scientific Journal, 13 (3). pp. 297-309. ISSN 1857-8365; eISSN: 1857-8438 https://www.research-publication.com/amsj/all-issues/vol-13/iss-03/ 10.37418/amsj.13.3.3 |
| spellingShingle | Zhuang, S.K. Nik Long, N.M.A. Hamzah, K.B. Senu, N. Singular integral equations for a crack subjected normal stress in a heated plate |
| title | Singular integral equations for a crack subjected normal stress in a heated plate |
| title_full | Singular integral equations for a crack subjected normal stress in a heated plate |
| title_fullStr | Singular integral equations for a crack subjected normal stress in a heated plate |
| title_full_unstemmed | Singular integral equations for a crack subjected normal stress in a heated plate |
| title_short | Singular integral equations for a crack subjected normal stress in a heated plate |
| title_sort | singular integral equations for a crack subjected normal stress in a heated plate |
| url | http://psasir.upm.edu.my/id/eprint/117549/ http://psasir.upm.edu.my/id/eprint/117549/ http://psasir.upm.edu.my/id/eprint/117549/ http://psasir.upm.edu.my/id/eprint/117549/1/117549.pdf |