Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate
Although a lot of crack problems in bi-materials plate were previously treated, few solutions are available under mechanical loadings, arbitrary crack lengths and material combinations. In this paper the dimensionless stress intensity factors (SIFs) of two slanted cracks in the upper plate of bi-mat...
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Universiti Putra Malaysia
2022
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my.utem.eprints.263612023-02-23T16:44:18Z http://eprints.utem.edu.my/id/eprint/26361/ Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate Nik Long, Nik Mohd Asri Hamzah, Khairum Although a lot of crack problems in bi-materials plate were previously treated, few solutions are available under mechanical loadings, arbitrary crack lengths and material combinations. In this paper the dimensionless stress intensity factors (SIFs) of two slanted cracks in the upper plate of bi-materials are considered under mechanical loadings with varying the crack length and material combinations systematically. In order to calculate the dimensionless SIFs accurately, the hypersingular integral equations (HSIEs) was formulated by using the modified complex potentials (MCP) function. The details numerical results of the dimensionless SIFs are given in tabular form and graphical presentations. Comparisons with the existing exact solutions show that the numerical results in this paper have high accuracy. Our results are described with clarifying the effect of the mechanical loadings, bi-elastic constant ratio and element size of cracks on the dimensionless SIFs. Universiti Putra Malaysia 2022-05 Article PeerReviewed text en http://eprints.utem.edu.my/id/eprint/26361/2/PUBLISH%20VERSION.PDF Nik Long, Nik Mohd Asri and Hamzah, Khairum (2022) Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate. Malaysian Journal of Mathematical Sciences, 16 (2). pp. 185-197. ISSN 1823-8343 https://mjms.upm.edu.my/fullpaper/2022-May-16-2/Nik%20Long,%20N.%20M.%20A.-185-197.pdf 10.47836/MJMS.16.2.02 |
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Although a lot of crack problems in bi-materials plate were previously treated, few solutions are available under mechanical loadings, arbitrary crack lengths and material combinations. In this paper the dimensionless stress intensity factors (SIFs) of two slanted cracks in the upper plate of bi-materials are considered under mechanical loadings with varying the crack length and material combinations systematically. In order to calculate the dimensionless SIFs accurately, the hypersingular integral equations (HSIEs) was formulated by using the modified complex potentials (MCP) function. The details numerical results of the dimensionless SIFs are given in tabular form and graphical presentations. Comparisons with the existing exact solutions show that the numerical results in this paper have high accuracy. Our results are described with clarifying the effect of the mechanical loadings, bi-elastic constant ratio and element size of cracks on the dimensionless SIFs. |
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Article |
author |
Nik Long, Nik Mohd Asri Hamzah, Khairum |
spellingShingle |
Nik Long, Nik Mohd Asri Hamzah, Khairum Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate |
author_facet |
Nik Long, Nik Mohd Asri Hamzah, Khairum |
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Nik Long, Nik Mohd Asri |
title |
Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate |
title_short |
Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate |
title_full |
Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate |
title_fullStr |
Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate |
title_full_unstemmed |
Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate |
title_sort |
effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate |
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Universiti Putra Malaysia |
publishDate |
2022 |
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http://eprints.utem.edu.my/id/eprint/26361/2/PUBLISH%20VERSION.PDF http://eprints.utem.edu.my/id/eprint/26361/ https://mjms.upm.edu.my/fullpaper/2022-May-16-2/Nik%20Long,%20N.%20M.%20A.-185-197.pdf |
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