Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings
A new mathematical model is developed for the analytical study of two cracks in the upper plane of dissimilar materials under various mechanical loadings, i.e., shear, normal, tearing and mixed stresses with different geometry conditions. This problem is developed into a new mathematical model of hy...
| Main Authors: | , , , |
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| Format: | Article |
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MDPI
2021
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| Online Access: | http://psasir.upm.edu.my/id/eprint/94392/ |
| _version_ | 1848861984707051520 |
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| author | Hamzah, Khairum Nik Long, Nik Mohd Asri Senu, Norazak Eshkuvatov, Zainidin K. |
| author_facet | Hamzah, Khairum Nik Long, Nik Mohd Asri Senu, Norazak Eshkuvatov, Zainidin K. |
| author_sort | Hamzah, Khairum |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A new mathematical model is developed for the analytical study of two cracks in the upper plane of dissimilar materials under various mechanical loadings, i.e., shear, normal, tearing and mixed stresses with different geometry conditions. This problem is developed into a new mathematical model of hypersingular integral equations (HSIEs) by using the modified complex potentials (MCPs) function and the continuity conditions of the resultant force and displacement with the crack opening displacement (COD) function as the unknown. The newly obtained mathematical model of HSIEs are solved numerically by utilizing the appropriate quadrature formulas. Numerical computations and graphical demonstrations are carried out to observe the profound effect of the elastic constants ratio, mode of stresses and geometry conditions on the dimensionless stress intensity factors (SIFs) at the crack tips. |
| first_indexed | 2025-11-15T13:09:49Z |
| format | Article |
| id | upm-94392 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:09:49Z |
| publishDate | 2021 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-943922023-04-05T02:05:41Z http://psasir.upm.edu.my/id/eprint/94392/ Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings Hamzah, Khairum Nik Long, Nik Mohd Asri Senu, Norazak Eshkuvatov, Zainidin K. A new mathematical model is developed for the analytical study of two cracks in the upper plane of dissimilar materials under various mechanical loadings, i.e., shear, normal, tearing and mixed stresses with different geometry conditions. This problem is developed into a new mathematical model of hypersingular integral equations (HSIEs) by using the modified complex potentials (MCPs) function and the continuity conditions of the resultant force and displacement with the crack opening displacement (COD) function as the unknown. The newly obtained mathematical model of HSIEs are solved numerically by utilizing the appropriate quadrature formulas. Numerical computations and graphical demonstrations are carried out to observe the profound effect of the elastic constants ratio, mode of stresses and geometry conditions on the dimensionless stress intensity factors (SIFs) at the crack tips. MDPI 2021-01-31 Article PeerReviewed Hamzah, Khairum and Nik Long, Nik Mohd Asri and Senu, Norazak and Eshkuvatov, Zainidin K. (2021) Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings. Symmetry, 13 (2). art. no. 235. pp. 1-20. ISSN 2073-8994 https://www.mdpi.com/2073-8994/13/2/235 10.3390/sym13020235 |
| spellingShingle | Hamzah, Khairum Nik Long, Nik Mohd Asri Senu, Norazak Eshkuvatov, Zainidin K. Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings |
| title | Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings |
| title_full | Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings |
| title_fullStr | Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings |
| title_full_unstemmed | Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings |
| title_short | Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings |
| title_sort | numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings |
| url | http://psasir.upm.edu.my/id/eprint/94392/ http://psasir.upm.edu.my/id/eprint/94392/ http://psasir.upm.edu.my/id/eprint/94392/ |