Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations
In this paper, numerical solutions of multiple cracks problems in an infinite plate are studied. Hypersingular integral equations (hieq) for the cracks are formulated using the complex potential method. For all kernels such as regular or hypersingular kernels, we are using the appropriate quadrat...
| Main Authors: | , , , |
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| Format: | Article |
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Tabriz University
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/85933/ |
| _version_ | 1848860215733125120 |
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| author | Ghorbanpoor, Razieh Saberi-Nadjafi, Jafar Nik Long, Nik Mohd Asri Erfanian, Majid |
| author_facet | Ghorbanpoor, Razieh Saberi-Nadjafi, Jafar Nik Long, Nik Mohd Asri Erfanian, Majid |
| author_sort | Ghorbanpoor, Razieh |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, numerical solutions of multiple cracks problems in an infinite plate
are studied. Hypersingular integral equations (hieq) for the cracks are formulated
using the complex potential method. For all kernels such as regular or hypersingular
kernels, we are using the appropriate quadrature formulas to solve and evaluate
the unknown functions numerically . Furthermore, by using this equation the stress
intensity factor (SIF) was calculated for crack tips. For two serial cracks (horizontal)
and two dissimilar cracks (horizontal and inclined), our numerical results agree with
the previous works. |
| first_indexed | 2025-11-15T12:41:42Z |
| format | Article |
| id | upm-85933 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T12:41:42Z |
| publishDate | 2020 |
| publisher | Tabriz University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-859332023-10-30T06:50:34Z http://psasir.upm.edu.my/id/eprint/85933/ Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations Ghorbanpoor, Razieh Saberi-Nadjafi, Jafar Nik Long, Nik Mohd Asri Erfanian, Majid In this paper, numerical solutions of multiple cracks problems in an infinite plate are studied. Hypersingular integral equations (hieq) for the cracks are formulated using the complex potential method. For all kernels such as regular or hypersingular kernels, we are using the appropriate quadrature formulas to solve and evaluate the unknown functions numerically . Furthermore, by using this equation the stress intensity factor (SIF) was calculated for crack tips. For two serial cracks (horizontal) and two dissimilar cracks (horizontal and inclined), our numerical results agree with the previous works. Tabriz University 2020 Article PeerReviewed Ghorbanpoor, Razieh and Saberi-Nadjafi, Jafar and Nik Long, Nik Mohd Asri and Erfanian, Majid (2020) Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations. Computational Methods for Differential Equations, 8 (1). 69 - 84. ISSN 2345-3982; ESSN: 2383-2533 https://cmde.tabrizu.ac.ir/article_9461.html 20.1001.1.23453982.2020.8.1.5.4 |
| spellingShingle | Ghorbanpoor, Razieh Saberi-Nadjafi, Jafar Nik Long, Nik Mohd Asri Erfanian, Majid Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations |
| title | Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations |
| title_full | Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations |
| title_fullStr | Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations |
| title_full_unstemmed | Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations |
| title_short | Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations |
| title_sort | stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations |
| url | http://psasir.upm.edu.my/id/eprint/85933/ http://psasir.upm.edu.my/id/eprint/85933/ http://psasir.upm.edu.my/id/eprint/85933/ |