A survey of boundary element methods for a two-dimensional fracture model
department or school: Science, Faculty of
department or school: Mathematics, Department of
data provider: DSpace
degree campus: UBCV
creator: James, Douglas L.
issued: 2009-03-25T20:34:48Z
issued: 1997
related degree: Master of Science - MSc
degree grantor: University of British Columbia
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.
aggregated CHO: https://circle.library.ubc.ca/rest/handle/2429/6512
extent: 2711106 bytes
format: application/pdf
note: A S U R V E Y OF B O U N D A R Y E L E M E N T M E T H O D S FOR A TWO-DIMENSIONAL F R A C T U R E M O D E L By Douglas L. James B. Sc. (Applied Math) University of Western Ontario, 1995 A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE in THE FACULTY OF GRADUATE STUDIES INSTITUTE OF APPLIED MATHEMATICS DEPARTMENT OF MATHEMATICS We accept this thesis as conforming to the required standard THE UNIVERSITY OF BRITISH COLUMBIA September 1997 © Douglas L. James, 1997 In p resen t ing this thesis in partial fu l f i lment of the requ i rements for an advanced deg ree at the Univers i ty of Brit ish C o l u m b i a , I agree that the Library shall make it freely avai lable fo r re ference and study. I further agree that pe rm i s s i on fo r ex tens ive c o py i n g of this thesis fo r scholar ly pu rpose s may be granted by the head of m y depa r tmen t or by his o r her representat ives. It is u n d e r s t o o d that c o p y i n g o r pub l i ca t i on of this thesis for f inancial ga in shall not be a l l owed w i thou t my wr i t ten pe rm i ss i on . Depa r tmen t of The Univers i ty of Brit ish C o l u m b i a Vancouve r , C anada Date ' S f p T . 11, ffl7 DE-6 (2/88) 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 ( D D M ) using point collocation and a Galerkin method. Crack tip elements and higher-order D D M are discussed. Self-effect correction methods, stated and developed for the piecewise constant D D M on a uniform grid, are shown to significantly improve the numerical solution. A n accurate D …
has type: Thesis/Dissertation
date issued: 1997-11
is shown at: 10.14288/1.0080003
language: eng
degree discipline: Mathematics
provider: Vancouver : University of British Columbia Library
publisher: University of British Columbia
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.
scholar level: Graduate
type: Text
identifier URI: http://hdl.handle.net/2429/6512