{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/105238"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/105238","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"An anisotropic displacement correlation method for extraction of stress intensity factors from three-dimensional fractures","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.","abstract_html":"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.","abstract_has_math":true,"creators":["Mazurowski, Bryce Patrick"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Civil Engineering","degree_department":null,"school":null,"contributors":["Duarte, Carlos A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-08-23T20:48:21Z","date_published":"2019-08-23T20:48:21Z","updated_at":"2026-07-22T22:24:44Z","subjects":["Fracture, stress intensity factor, anisotropic"],"languages":["en"],"rights":["Copyright 2019 Bryce Mazurowski"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/105238","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Duarte, Carlos A."]},{"key":"dc:creator","label":"Author","values":["Mazurowski, Bryce Patrick"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2019-08-23T20:48:21Z","2021-08-24T09:15:35Z","2019-04-22","2019-05"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Fracture, stress intensity factor, anisotropic"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2019 Bryce Mazurowski"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/105238"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2021-05-01","The student, Bryce Mazurowski, accepted the attached license on 2019-04-19 at 20:23.","The student, Bryce Mazurowski, submitted this Thesis for approval on 2019-04-19 at 20:30.","This Thesis was approved for publication on 2019-04-22 at 10:46.","DSpace SAF Submission Ingestion Package generated from Vireo submission #13804 on 2019-08-22 at 16:23:27","Made available in DSpace on 2019-08-23T20:48:21Z (GMT). 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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.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2021-05-01","The student, Bryce Mazurowski, accepted the attached license on 2019-04-19 at 20:23.","The student, Bryce Mazurowski, submitted this Thesis for approval on 2019-04-19 at 20:30.","This Thesis was approved for publication on 2019-04-22 at 10:46.","DSpace SAF Submission Ingestion Package generated from Vireo submission #13804 on 2019-08-22 at 16:23:27","Made available in DSpace on 2019-08-23T20:48:21Z (GMT). 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