Stress intensity factor for multiple cracks in half plane elasticity

The multiple cracks problem in an elastic half-plane is formulated into singular integral equation using the modified complex potential with free traction boundary condition. A system of singular integral equations is obtained with the distribution dislocation function as unknown, and the traction a...

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Main Authors: Elfakhakhre, Nawara R. F., Nik Long, Nik Mohd Asri, Eshkuvatov, Zainidin K.
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57299/1/Stress%20intensity%20factor%20for%20multiple%20cracks%20in%20half%20plane%20elasticity.pdf
http://psasir.upm.edu.my/id/eprint/57299/
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spelling my.upm.eprints.572992017-09-26T03:58:44Z http://psasir.upm.edu.my/id/eprint/57299/ Stress intensity factor for multiple cracks in half plane elasticity Elfakhakhre, Nawara R. F. Nik Long, Nik Mohd Asri Eshkuvatov, Zainidin K. The multiple cracks problem in an elastic half-plane is formulated into singular integral equation using the modified complex potential with free traction boundary condition. A system of singular integral equations is obtained with the distribution dislocation function as unknown, and the traction applied on the crack faces as the right hand terms. With the help of the curved length coordinate method and Gauss quadrature rule, the resulting system is solved numerically. The stress intensity factor (SIF) can be obtained from the unknown coefficients. Numerical examples exhibit that our results are in good agreement with the previous works, and it is found that the SIF increase as the cracks approaches the boundary of half plane. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57299/1/Stress%20intensity%20factor%20for%20multiple%20cracks%20in%20half%20plane%20elasticity.pdf Elfakhakhre, Nawara R. F. and Nik Long, Nik Mohd Asri and Eshkuvatov, Zainidin K. (2016) Stress intensity factor for multiple cracks in half plane elasticity. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8). 10.1063/1.4972154
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/
language English
description The multiple cracks problem in an elastic half-plane is formulated into singular integral equation using the modified complex potential with free traction boundary condition. A system of singular integral equations is obtained with the distribution dislocation function as unknown, and the traction applied on the crack faces as the right hand terms. With the help of the curved length coordinate method and Gauss quadrature rule, the resulting system is solved numerically. The stress intensity factor (SIF) can be obtained from the unknown coefficients. Numerical examples exhibit that our results are in good agreement with the previous works, and it is found that the SIF increase as the cracks approaches the boundary of half plane.
format Conference or Workshop Item
author Elfakhakhre, Nawara R. F.
Nik Long, Nik Mohd Asri
Eshkuvatov, Zainidin K.
spellingShingle Elfakhakhre, Nawara R. F.
Nik Long, Nik Mohd Asri
Eshkuvatov, Zainidin K.
Stress intensity factor for multiple cracks in half plane elasticity
author_facet Elfakhakhre, Nawara R. F.
Nik Long, Nik Mohd Asri
Eshkuvatov, Zainidin K.
author_sort Elfakhakhre, Nawara R. F.
title Stress intensity factor for multiple cracks in half plane elasticity
title_short Stress intensity factor for multiple cracks in half plane elasticity
title_full Stress intensity factor for multiple cracks in half plane elasticity
title_fullStr Stress intensity factor for multiple cracks in half plane elasticity
title_full_unstemmed Stress intensity factor for multiple cracks in half plane elasticity
title_sort stress intensity factor for multiple cracks in half plane elasticity
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/57299/1/Stress%20intensity%20factor%20for%20multiple%20cracks%20in%20half%20plane%20elasticity.pdf
http://psasir.upm.edu.my/id/eprint/57299/
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score 13.160551