An anisotropic displacement correlation method for extraction of stress intensity factors from three-dimensional fractures
Mazurowski, Bryce Patrick
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https://hdl.handle.net/2142/105238
Description
Title
An anisotropic displacement correlation method for extraction of stress intensity factors from three-dimensional fractures
Author(s)
Mazurowski, Bryce Patrick
Issue Date
2019-04-22
Director of Research (if dissertation) or Advisor (if thesis)
Duarte, Carlos A.
Department of Study
Civil & Environmental Eng
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Fracture, stress intensity factor, anisotropic
Abstract
A displacement correlation method (DCM) for the extraction of stress intensity factors (SIFs) from three-dimensional fractures in anisotropic bodies is presented in this work. The proposed anisotropic DCM is able to handle materials with rectilinear anisotropy in bodies with arbitrary crack geometry and material alignment. A high-order generalized finite element method (GFEM) approximation is used enriched with $p$-hierarchical polynomials, discontinuous Heaviside functions, and singular crack front functions for the approximate displacement fields. The anisotropic DCM is able to match results against analytical solutions for single mode and mixed-mode fracture with high accuracy. Several problems with more complex geometry are investigated and compared against results in the literature. Excellent agreement is seen in all problems examined. The goal of this work is to present an efficient and accurate method for the extraction of SIFs in three-dimensional, mixed-mode fractures that is applicable for problems with any form of rectilinear anisotropy, arbitrary crack geometry, and any material alignment.
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