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Interaction between inclined and curved cracks problems in plane elasticity

Aridi, Mohd Radzi (2014) Interaction between inclined and curved cracks problems in plane elasticity. Masters thesis, Universiti Putra Malaysia.

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Abstract

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.

Item Type:Thesis (Masters)
Subject:Elasticity - Mathematics
Subject:Periodic functions
Subject:Differential equations
Chairman Supervisor:Nik Mohd Asri Nik Long, PhD
Call Number:IPM 2014 6
Faculty or Institute:Institute for Mathematical Research
ID Code:52111
Deposited By: Haridan Mohd Jais
Deposited On:02 May 2017 10:33
Last Modified:02 May 2017 10:33

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