Elastic-plastic stress analysis for an interfacial crack

The plastic zone size at a crack tip is a useful parameter in determining the rate of crack propagation in fracture mechanics. The aim of this work is to determine the size of the plastic zone of an interfacial crack using the distributed dislocation technique and to investigate the influence of str...

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Main Author: Ng, Daniel Zhi Jie.
Other Authors: Xiao Zhongmin
Format: Final Year Project
Language:English
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/10356/16183
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-161832023-03-04T18:39:17Z Elastic-plastic stress analysis for an interfacial crack Ng, Daniel Zhi Jie. Xiao Zhongmin School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering::Mechanics and dynamics The plastic zone size at a crack tip is a useful parameter in determining the rate of crack propagation in fracture mechanics. The aim of this work is to determine the size of the plastic zone of an interfacial crack using the distributed dislocation technique and to investigate the influence of stress and other material properties on the plastic zone size. In our analytical investigation of the plastic zone of an interfacial crack, we applied Dugdale’s model for small scale yielding and assumed two small plastic zones at the both crack tips. The crack was modeled as a set of continuous distribution of edge dislocations and the solution was obtained using Erdogan and Gupta’s method and numerical iteration. The plastic zone sizes have been calculated over a range of yield-to-load stresses, shear modulus and Poisson’s ratio for isotropic materials subjected to plane stress. For homogeneous conditions, the plastic zone size is maximum and decreases with increasing non-unity shear modulus ratio and increasing yield-to-load ratio. For materials with same Poisson’s ratio, increasing the Poisson’s ratio would increase the plastic zone size. For materials with different Poisson’s ratio, the maximum plastic zone size remains the same but for a different shear modulus ratio. Graphical results of the influence of yield-to-load stress, shear modulus and Poisson’s ratio on the plastic zone size is also presented. Bachelor of Engineering (Mechanical Engineering) 2009-05-22T04:31:48Z 2009-05-22T04:31:48Z 2009 2009 Final Year Project (FYP) http://hdl.handle.net/10356/16183 en Nanyang Technological University 99 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering::Mechanics and dynamics
spellingShingle DRNTU::Engineering::Mechanical engineering::Mechanics and dynamics
Ng, Daniel Zhi Jie.
Elastic-plastic stress analysis for an interfacial crack
description The plastic zone size at a crack tip is a useful parameter in determining the rate of crack propagation in fracture mechanics. The aim of this work is to determine the size of the plastic zone of an interfacial crack using the distributed dislocation technique and to investigate the influence of stress and other material properties on the plastic zone size. In our analytical investigation of the plastic zone of an interfacial crack, we applied Dugdale’s model for small scale yielding and assumed two small plastic zones at the both crack tips. The crack was modeled as a set of continuous distribution of edge dislocations and the solution was obtained using Erdogan and Gupta’s method and numerical iteration. The plastic zone sizes have been calculated over a range of yield-to-load stresses, shear modulus and Poisson’s ratio for isotropic materials subjected to plane stress. For homogeneous conditions, the plastic zone size is maximum and decreases with increasing non-unity shear modulus ratio and increasing yield-to-load ratio. For materials with same Poisson’s ratio, increasing the Poisson’s ratio would increase the plastic zone size. For materials with different Poisson’s ratio, the maximum plastic zone size remains the same but for a different shear modulus ratio. Graphical results of the influence of yield-to-load stress, shear modulus and Poisson’s ratio on the plastic zone size is also presented.
author2 Xiao Zhongmin
author_facet Xiao Zhongmin
Ng, Daniel Zhi Jie.
format Final Year Project
author Ng, Daniel Zhi Jie.
author_sort Ng, Daniel Zhi Jie.
title Elastic-plastic stress analysis for an interfacial crack
title_short Elastic-plastic stress analysis for an interfacial crack
title_full Elastic-plastic stress analysis for an interfacial crack
title_fullStr Elastic-plastic stress analysis for an interfacial crack
title_full_unstemmed Elastic-plastic stress analysis for an interfacial crack
title_sort elastic-plastic stress analysis for an interfacial crack
publishDate 2009
url http://hdl.handle.net/10356/16183
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