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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Main Authors: Nik Long, Nik Mohd Asri, Hamzah, Khairum
Format: Article
Language:English
Published: Universiti Putra Malaysia 2022
Online Access: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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spelling 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
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 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.
format 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
author_sort 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
publisher Universiti Putra Malaysia
publishDate 2022
url 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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score 13.214268