An anisotropic displacement correlation method for extraction of stress intensity factors from three-dimensional fractures

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.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Civil Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2019

Author dc:creator

• Mazurowski, Bryce Patrick

Contributors dc:contributor

• Duarte, Carlos A.

• Fracture, stress intensity factor, anisotropic

Statement dc:rights

• Copyright 2019 Bryce Mazurowski

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/105238

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/105238