Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations
This paper deals with the multiple inclined or circular arc cracks in the upper half of bonded dissimilar materials subjected to shear stress. Using the complex variable function method, and with the help of the continuity conditions of the traction and displacement, the problem is formulated into t...
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Elsevier Inc.
2019
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my.utem.eprints.243392023-07-20T16:10:25Z http://eprints.utem.edu.my/id/eprint/24339/ Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations Nik Long, Nik Mohd Asri Senu, Norazak Hamzah, Khairum Eshkuvatov, Zainiddin K. This paper deals with the multiple inclined or circular arc cracks in the upper half of bonded dissimilar materials subjected to shear stress. Using the complex variable function method, and with the help of the continuity conditions of the traction and displacement, the problem is formulated into the hypersingular integral equation (HSIE) with the crack opening displacement function as the unknown and the tractions along the crack as the right term. The obtained HSIE are solved numerically by utilising the appropriate quadrature formulas. Numerical results for multiple inclined or circular arc cracks problems in the upper half of bonded dissimilar materials are presented. It is found that the nondimensional stress intensity factors at the crack tips strongly depends on the elastic constants ratio, crack geometries, the distance between each crack and the distance between the crack and boundary. Elsevier Inc. 2019-09 Article PeerReviewed text en http://eprints.utem.edu.my/id/eprint/24339/2/1_AMM%202019.PDF Nik Long, Nik Mohd Asri and Senu, Norazak and Hamzah, Khairum and Eshkuvatov, Zainiddin K. (2019) Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations. Applied Mathematical Modelling, 73. pp. 95-108. ISSN 0307-904X https://reader.elsevier.com/reader/sd/pii/S0307904X19301921?token=A009F45923DA18B40EFA6BDAAE0E1130B79E17ED72389CC39B2B1E9702343A28548B9B36B26E5EC83AC16788A61AE0FE 10.1016/j.apm.2019.04.002 |
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| description |
This paper deals with the multiple inclined or circular arc cracks in the upper half of bonded dissimilar materials subjected to shear stress. Using the complex variable function method, and with the help of the continuity conditions of the traction and displacement, the problem is formulated into the hypersingular integral equation (HSIE) with the crack opening displacement function as the unknown and the tractions along the crack as the right term. The obtained HSIE are solved numerically by utilising the appropriate quadrature formulas. Numerical results for multiple inclined or circular arc cracks problems in the upper half of bonded dissimilar materials are presented. It is found that the nondimensional stress intensity factors at the crack tips strongly depends on the elastic constants ratio, crack geometries, the distance between each crack and the distance between the crack and boundary. |
| format |
Article |
| author |
Nik Long, Nik Mohd Asri Senu, Norazak Hamzah, Khairum Eshkuvatov, Zainiddin K. |
| spellingShingle |
Nik Long, Nik Mohd Asri Senu, Norazak Hamzah, Khairum Eshkuvatov, Zainiddin K. Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations |
| author_facet |
Nik Long, Nik Mohd Asri Senu, Norazak Hamzah, Khairum Eshkuvatov, Zainiddin K. |
| author_sort |
Nik Long, Nik Mohd Asri |
| title |
Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations |
| title_short |
Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations |
| title_full |
Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations |
| title_fullStr |
Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations |
| title_full_unstemmed |
Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations |
| title_sort |
stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations |
| publisher |
Elsevier Inc. |
| publishDate |
2019 |
| url |
http://eprints.utem.edu.my/id/eprint/24339/2/1_AMM%202019.PDF http://eprints.utem.edu.my/id/eprint/24339/ https://reader.elsevier.com/reader/sd/pii/S0307904X19301921?token=A009F45923DA18B40EFA6BDAAE0E1130B79E17ED72389CC39B2B1E9702343A28548B9B36B26E5EC83AC16788A61AE0FE |
| _version_ |
1772816016139616256 |
| score |
13.251813 |