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...
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MDPI AG
2021-01-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/2/235 |
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doaj-d40b124b730e439f8ffc84e92ca1eb472021-02-01T00:00:21ZengMDPI AGSymmetry2073-89942021-01-011323523510.3390/sym13020235Numerical Solution for Crack Phenomenon in Dissimilar Materials under Various Mechanical LoadingsKhairum Bin Hamzah0Nik Mohd Asri Nik Long1Norazak Senu2Zainidin K. Eshkuvatov3Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal, Melaka 76100, MalaysiaMathematics Department, Faculty of Science, Universiti Putra Malaysia, Serdang, Selangor 43400, MalaysiaMathematics Department, Faculty of Science, Universiti Putra Malaysia, Serdang, Selangor 43400, MalaysiaFaculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Terengganu 21030, MalaysiaA 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.https://www.mdpi.com/2073-8994/13/2/235two cracksdissimilar materialshypersingular integral equationsstress intensity factors |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Khairum Bin Hamzah Nik Mohd Asri Nik Long Norazak Senu Zainidin K. Eshkuvatov |
| spellingShingle |
Khairum Bin Hamzah Nik Mohd Asri Nik Long Norazak Senu Zainidin K. Eshkuvatov Numerical Solution for Crack Phenomenon in Dissimilar Materials under Various Mechanical Loadings Symmetry two cracks dissimilar materials hypersingular integral equations stress intensity factors |
| author_facet |
Khairum Bin Hamzah Nik Mohd Asri Nik Long Norazak Senu Zainidin K. Eshkuvatov |
| author_sort |
Khairum Bin Hamzah |
| title |
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_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_sort |
numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2021-01-01 |
| 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. |
| topic |
two cracks dissimilar materials hypersingular integral equations stress intensity factors |
| url |
https://www.mdpi.com/2073-8994/13/2/235 |
| work_keys_str_mv |
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