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UBC Theses and Dissertations
A survey of boundary element methods for a two-dimensional fracture model James, Douglas L.
Abstract
This thesis surveys boundary element methods for solving a two-dimensional pressurized line crack problem in a homogeneous infinite elastic medium. Starting with an overview of linear elastic fracture mechanics, the exact solution to the pressurized line crack problem is stated and results for several pressure distributions are provided. Various numerical methods for solving the crack problem are then introduced, such as the displacement discontinuity method (DDM) using point collocation and a Galerkin method. Crack tip elements and higher-order DDM are discussed. Self-effect correction methods, stated and developed for the piecewise constant DDM on a uniform grid, are shown to significantly improve the numerical solution. An accurate DDM correction for modelling crack tip element extensions is also presented. Finally, numerical results for the various methods are given and stress intensity factors are also presented for comparison.
Item Metadata
Title |
A survey of boundary element methods for a two-dimensional fracture model
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1997
|
Description |
This thesis surveys boundary element methods for solving a two-dimensional
pressurized line crack problem in a homogeneous infinite elastic medium.
Starting with an overview of linear elastic fracture mechanics, the exact solution
to the pressurized line crack problem is stated and results for several pressure
distributions are provided. Various numerical methods for solving the crack problem
are then introduced, such as the displacement discontinuity method (DDM) using
point collocation and a Galerkin method. Crack tip elements and higher-order DDM
are discussed. Self-effect correction methods, stated and developed for the piecewise
constant DDM on a uniform grid, are shown to significantly improve the numerical
solution. An accurate DDM correction for modelling crack tip element extensions is
also presented. Finally, numerical results for the various methods are given and
stress intensity factors are also presented for comparison.
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Extent |
2711106 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-03-25
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0080003
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
1997-11
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.