The dual boundary element method applied to semi-infinite surface cracks in two-dimensions
Koehler, Daniel
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https://hdl.handle.net/2142/72883
Description
Title
The dual boundary element method applied to semi-infinite surface cracks in two-dimensions
Author(s)
Koehler, Daniel
Issue Date
2015-01-21
Director of Research (if dissertation) or Advisor (if thesis)
Tortorelli, Daniel A.
Department of Study
Mechanical Sci & Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Dual Boundary Element Method
semi-infinite edge cracks
hypersingular integration
Abstract
The goal of his thesis is to evaluate the stress intensity factors (SIF) for surface cracks in
semi-infinite solids via the DBEM. We first detail the derivations of the boundary element and
dual boundary element methods. The main difficulty with these methods are integrations of the
singular integrals which cannot be accuartely evaluated via standard Gauss quadrature schemes.
An analytical integration scheme has therefore been implemented to overcome this difficulty. The
SIFs are recovered as a post-processing step using the crack tip opening displacement method. A
computer code using FORTRAN.90 is developed to verify the effectiveness of the DBEM and its
application to fracture problems.
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