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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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Main Authors: Nik Long, Nik Mohd Asri, Hamzah, Khairum, Senu, Norazak, Eshkuvatov, Zainiddin K.
Format: Article
Language:English
Published: MDPI AG 2021
Online Access:http://eprints.utem.edu.my/id/eprint/25544/2/PUBLISH%20VERSION_SYMMETRY-13-00235_2021.PDF
http://eprints.utem.edu.my/id/eprint/25544/
https://www.mdpi.com/2073-8994/13/2/235
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spelling my.utem.eprints.255442023-07-20T16:23:34Z http://eprints.utem.edu.my/id/eprint/25544/ Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings Nik Long, Nik Mohd Asri Hamzah, Khairum Senu, Norazak Eshkuvatov, Zainiddin 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 AG 2021-01 Article PeerReviewed text en http://eprints.utem.edu.my/id/eprint/25544/2/PUBLISH%20VERSION_SYMMETRY-13-00235_2021.PDF Nik Long, Nik Mohd Asri and Hamzah, Khairum and Senu, Norazak and Eshkuvatov, Zainiddin K. (2021) Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings. Symmetry, 13 (2). pp. 1-20. ISSN 2073-8994 https://www.mdpi.com/2073-8994/13/2/235 10.3390/SYM13020235
institution Universiti Teknikal Malaysia Melaka
building UTEM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknikal Malaysia Melaka
content_source UTEM Institutional Repository
url_provider http://eprints.utem.edu.my/
language English
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
format Article
author Nik Long, Nik Mohd Asri
Hamzah, Khairum
Senu, Norazak
Eshkuvatov, Zainiddin K.
spellingShingle Nik Long, Nik Mohd Asri
Hamzah, Khairum
Senu, Norazak
Eshkuvatov, Zainiddin K.
Numerical solution for crack phenomenon in dissimilar materials under various mechanical loadings
author_facet Nik Long, Nik Mohd Asri
Hamzah, Khairum
Senu, Norazak
Eshkuvatov, Zainiddin K.
author_sort Nik Long, Nik Mohd Asri
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
publishDate 2021
url http://eprints.utem.edu.my/id/eprint/25544/2/PUBLISH%20VERSION_SYMMETRY-13-00235_2021.PDF
http://eprints.utem.edu.my/id/eprint/25544/
https://www.mdpi.com/2073-8994/13/2/235
_version_ 1772816022205628416
score 13.160551

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