Application of Isogeometric Analysis in Determining Stress Distribution at the Tip of a Crack

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Zandinia, Meysam | 2015

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Type of Document: M.Sc. Thesis
Language: English
Document No: 47571 (53)
University: Sharif University of Technology, International Campus, Kish Island
Department: Science and Engineering
Advisor(s): Jahanshahi, Mohsen
Abstract:
Isogeometric Analysis is one of the new methods for solving partial differential Equations which has special advantages compared to conventional methods such as the finite Element method. Some of these benefits can be used to approximate the geometry and solving the Equations governing the behavior of materials. Calculating the stress intensity factor at the tip of the Crack using classical method such as finite element method is done as well as IGA and gives Acceptable Results in linear range. Studying how to calculate these coefficients in combination with Isogeometric analysis method and comparing results with FEM due to novelty of the approach can have considerable importance for researchers working in this field. The aim of this study was to determine how to calculate stress intensity factors at the tip of the crack and compare the accuracy level of this method
Keywords:
Crack ; Stress Intensity Factor ; Shape Function ; Finite Element Method ; Isogeometric Method ; Fracture Mechanism

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