Interaction between inclined and curved cracks problems in plane elasticity

In this thesis, the interaction between inclined and curved cracks problem in plane elasticity is formulated into the hypersingular integral equations using the complex variable function method. Then, using the curved length coordinate method, the cracks are mapped into a straight line which require...

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Main Author:	Aridi, Mohd Radzi
Format:	Thesis
Language:	English
Published:	2014
Subjects:	Elasticity - Mathematics Periodic functions Differential equations
Online Access:	http://psasir.upm.edu.my/id/eprint/52111/1/IPM%202014%206RR.pdf
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id	my-upm-ir.52111
record_format	uketd_dc
spelling	my-upm-ir.521112017-05-02T02:33:00Z Interaction between inclined and curved cracks problems in plane elasticity 2014-06 Aridi, Mohd Radzi In this thesis, the interaction between inclined and curved cracks problem in plane elasticity is formulated into the hypersingular integral equations using the complex variable function method. Then, using the curved length coordinate method, the cracks are mapped into a straight line which require less collocation points, hence give faster convergence. In order to solve the equations numerically, the quadrature rules are applied and we obtained the unknown coeficients with M+1 collocation points. The obtained unknown coeficients will later be used in calculating the stress intensity factors. Firstly, we investigated the problems between straight and curved cracks problem in plane elasticity. The results give good agreements with the existence results. Then, we extended the problem for the interaction between inclined and curved cracks problem in plane elasitcity. For numerical examples, four types of loading modes have been presented : Mode I, Mode II, Mode III and Mix Mode. Elasticity - Mathematics Periodic functions Differential equations 2014-06 Thesis http://psasir.upm.edu.my/id/eprint/52111/ http://psasir.upm.edu.my/id/eprint/52111/1/IPM%202014%206RR.pdf application/pdf en public masters Universiti Putra Malaysia Elasticity - Mathematics Periodic functions Differential equations
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
topic	Elasticity - Mathematics Periodic functions Differential equations
spellingShingle	Elasticity - Mathematics Periodic functions Differential equations Aridi, Mohd Radzi Interaction between inclined and curved cracks problems in plane elasticity
description	In this thesis, the interaction between inclined and curved cracks problem in plane elasticity is formulated into the hypersingular integral equations using the complex variable function method. Then, using the curved length coordinate method, the cracks are mapped into a straight line which require less collocation points, hence give faster convergence. In order to solve the equations numerically, the quadrature rules are applied and we obtained the unknown coeficients with M+1 collocation points. The obtained unknown coeficients will later be used in calculating the stress intensity factors. Firstly, we investigated the problems between straight and curved cracks problem in plane elasticity. The results give good agreements with the existence results. Then, we extended the problem for the interaction between inclined and curved cracks problem in plane elasitcity. For numerical examples, four types of loading modes have been presented : Mode I, Mode II, Mode III and Mix Mode.
format	Thesis
qualification_level	Master's degree
author	Aridi, Mohd Radzi
author_facet	Aridi, Mohd Radzi
author_sort	Aridi, Mohd Radzi
title	Interaction between inclined and curved cracks problems in plane elasticity
title_short	Interaction between inclined and curved cracks problems in plane elasticity
title_full	Interaction between inclined and curved cracks problems in plane elasticity
title_fullStr	Interaction between inclined and curved cracks problems in plane elasticity
title_full_unstemmed	Interaction between inclined and curved cracks problems in plane elasticity
title_sort	interaction between inclined and curved cracks problems in plane elasticity
granting_institution	Universiti Putra Malaysia
publishDate	2014
url	http://psasir.upm.edu.my/id/eprint/52111/1/IPM%202014%206RR.pdf
_version_	1747812092423962624

Interaction between inclined and curved cracks problems in plane elasticity

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