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: Hamzah, K. B., Nik Long, N. M. A.
Format: Article
Published: Penerbit UPM 2022
Online Access:http://psasir.upm.edu.my/id/eprint/101123/
https://mjms.upm.edu.my/lihatmakalah.php?kod=2022/May/16/2/185-197
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spelling my.upm.eprints.1011232023-05-24T00:38:05Z http://psasir.upm.edu.my/id/eprint/101123/ Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate Hamzah, K. B. Nik Long, N. M. A. 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. Penerbit UPM 2022-05 Article PeerReviewed Hamzah, K. B. and Nik Long, N. M. A. (2022) Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate. Malaysian Journal for Mathematical Sciences, 16 (2). 185 - 197. ISSN 1823-8343; ESSN: 2289-750X https://mjms.upm.edu.my/lihatmakalah.php?kod=2022/May/16/2/185-197 10.47836/mjms.16.2.02
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
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 Hamzah, K. B.
Nik Long, N. M. A.
spellingShingle Hamzah, K. B.
Nik Long, N. M. A.
Effect of mechanical loadings on two unequal slanted cracks length in bi-materials plate
author_facet Hamzah, K. B.
Nik Long, N. M. A.
author_sort Hamzah, K. B.
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 Penerbit UPM
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/101123/
https://mjms.upm.edu.my/lihatmakalah.php?kod=2022/May/16/2/185-197
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