{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/72883"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/72883","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The dual boundary element method applied to semi-infinite surface cracks in two-dimensions","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Koehler, Daniel"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Tortorelli, Daniel A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-01-21T19:49:10Z","date_published":"2015-01-21T19:49:10Z","updated_at":"2026-07-22T22:26:07Z","subjects":["Dual Boundary Element Method","semi-infinite edge cracks","hypersingular integration"],"languages":["en"],"rights":["Copyright 2014 Daniel G. Koehler"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/72883","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Tortorelli, Daniel A."]},{"key":"dc:creator","label":"Author","values":["Koehler, Daniel"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-01-21T19:49:10Z","2014-12","2015-01-21"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical 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":["Dual Boundary Element Method","semi-infinite edge cracks","hypersingular integration"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2014 Daniel G. Koehler"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/72883"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2014-09-26T18:08:55Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Koehler_Daniel.pdf: 824613 bytes, checksum: 9b5e5838759abfbac4048f14bc107c03 (MD5)","Made available in DSpace on 2015-01-21T19:49:10Z (GMT). No. of bitstreams: 1 Daniel_Koehler.pdf: 799513 bytes, checksum: 50a24ae3424e63d0777045d93d5b48a6 (MD5)"]},{"key":"dc:title","label":"Title","values":["The dual boundary element method applied to semi-infinite surface cracks in two-dimensions"]}]}],"canonical_facts":{"dc:contributor":["Tortorelli, Daniel A."],"dc:creator":["Koehler, Daniel"],"dc:date":["2015-01-21T19:49:10Z","2014-12","2015-01-21"],"dc:description":["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.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2014-09-26T18:08:55Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Koehler_Daniel.pdf: 824613 bytes, checksum: 9b5e5838759abfbac4048f14bc107c03 (MD5)","Made available in DSpace on 2015-01-21T19:49:10Z (GMT). No. of bitstreams: 1 Daniel_Koehler.pdf: 799513 bytes, checksum: 50a24ae3424e63d0777045d93d5b48a6 (MD5)"],"dc:identifier":["http://hdl.handle.net/2142/72883"],"dc:language":["en"],"dc:rights":["Copyright 2014 Daniel G. Koehler"],"dc:subject":["Dual Boundary Element Method","semi-infinite edge cracks","hypersingular integration"],"dc:title":["The dual boundary element method applied to semi-infinite surface cracks in two-dimensions"],"dc:type":["text"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:07Z"}