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Interaction between two cracks in circular positions in plane elasticity

In this thesis, the interaction between two cracks in circular positions in plane elasticity is formulated into a system of hyper singular integral equations by using thecomplex variable function method. The center of the cracks are placed at the edgeof a circle with radius R. The first crack is fix...

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Main Author: Abdul Rafar, Rahimah
Format: Thesis
Language:English
Published: 2017
Online Access:http://psasir.upm.edu.my/id/eprint/70992/1/FS%202017%2069%20IR.pdf
http://psasir.upm.edu.my/id/eprint/70992/
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spelling my.upm.eprints.709922019-08-08T08:42:10Z http://psasir.upm.edu.my/id/eprint/70992/ Interaction between two cracks in circular positions in plane elasticity Abdul Rafar, Rahimah In this thesis, the interaction between two cracks in circular positions in plane elasticity is formulated into a system of hyper singular integral equations by using thecomplex variable function method. The center of the cracks are placed at the edgeof a circle with radius R. The first crack is fixed on thex-axis while the second crackis located on the boundary of a circle with the varying angle, θ. By using the curved length coordinate method, the cracks are mapped into a straight line which require less collocation points, hence give faster convergence. With the help of particular quadrature rules, the unknown coefficients are solved numerically from the resulting system of hyper singular integral equations. The obtained unknown coefficients are then used for determining the stress intensity factor (SIF).Three different domains for the problems of two cracks in circular positions will be considered which is the varying angle of positions of the second crack, the length ratio of the second to the first crack, and the length ratio of the first crack to the radius of a circle. The results for the tested problem presented here agree with the previous reported results. 2017-02 Thesis NonPeerReviewed text en http://psasir.upm.edu.my/id/eprint/70992/1/FS%202017%2069%20IR.pdf Abdul Rafar, Rahimah (2017) Interaction between two cracks in circular positions in plane elasticity. Masters thesis, Universiti Putra Malaysia.
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 In this thesis, the interaction between two cracks in circular positions in plane elasticity is formulated into a system of hyper singular integral equations by using thecomplex variable function method. The center of the cracks are placed at the edgeof a circle with radius R. The first crack is fixed on thex-axis while the second crackis located on the boundary of a circle with the varying angle, θ. By using the curved length coordinate method, the cracks are mapped into a straight line which require less collocation points, hence give faster convergence. With the help of particular quadrature rules, the unknown coefficients are solved numerically from the resulting system of hyper singular integral equations. The obtained unknown coefficients are then used for determining the stress intensity factor (SIF).Three different domains for the problems of two cracks in circular positions will be considered which is the varying angle of positions of the second crack, the length ratio of the second to the first crack, and the length ratio of the first crack to the radius of a circle. The results for the tested problem presented here agree with the previous reported results.
format Thesis
author Abdul Rafar, Rahimah
spellingShingle Abdul Rafar, Rahimah
Interaction between two cracks in circular positions in plane elasticity
author_facet Abdul Rafar, Rahimah
author_sort Abdul Rafar, Rahimah
title Interaction between two cracks in circular positions in plane elasticity
title_short Interaction between two cracks in circular positions in plane elasticity
title_full Interaction between two cracks in circular positions in plane elasticity
title_fullStr Interaction between two cracks in circular positions in plane elasticity
title_full_unstemmed Interaction between two cracks in circular positions in plane elasticity
title_sort interaction between two cracks in circular positions in plane elasticity
publishDate 2017
url http://psasir.upm.edu.my/id/eprint/70992/1/FS%202017%2069%20IR.pdf
http://psasir.upm.edu.my/id/eprint/70992/
_version_ 1643839812087578624
score 13.211869

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