{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/71696"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/71696","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Numerical Analysis of the Effects of Void Growth and Crack Tip Opening on Ductile Fracture","abstract":"The ductile rupture of metal alloys depends on the presence of small second phase particles which nucleate microscopic voids. Plastic flow in the metal allows the voids to grow and link up to create larger flaws such as cracks. In previous research, the basic mechanics of ductile fracture has been examined using two-dimensional models. However, some problems in ductile fracture are inherently three-dimensional. In this work three such problems are solved using large deformation finite element computations.","abstract_html":"The ductile rupture of metal alloys depends on the presence of small second phase particles which nucleate microscopic voids. Plastic flow in the metal allows the voids to grow and link up to create larger flaws such as cracks. In previous research, the basic mechanics of ductile fracture has been examined using two-dimensional models. However, some problems in ductile fracture are inherently three-dimensional. In this work three such problems are solved using large deformation finite element computations.","abstract_has_math":false,"creators":["Hom, Craig Lee"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Theoretical and Applied Mechanics","degree_department":null,"school":null,"contributors":["McMeeking, Robert M.,"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-16T19:12:39Z","date_published":"2014-12-16T19:12:39Z","updated_at":"2026-07-22T22:26:05Z","subjects":["Engineering, Mechanical"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8815356"],"render_values":[{"text":"(UMI)AAI8815356","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/71696","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["McMeeking, Robert M.,"]},{"key":"dc:creator","label":"Author","values":["Hom, Craig Lee"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-16T19:12:39Z","10000-01-01","1988"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Theoretical and Applied Mechanics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"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":["Engineering, Mechanical"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/71696","(UMI)AAI8815356"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The ductile rupture of metal alloys depends on the presence of small second phase particles which nucleate microscopic voids. Plastic flow in the metal allows the voids to grow and link up to create larger flaws such as cracks. In previous research, the basic mechanics of ductile fracture has been examined using two-dimensional models. However, some problems in ductile fracture are inherently three-dimensional. In this work three such problems are solved using large deformation finite element computations.","First, the finite element technique was used to study the growth of initially spherical voids in a cubic array under remote uniform loads of uniaxial tension, pure shear and high triaxial stress. The results show that shape change has a strong effect on the material's behavior. Indeed for low triaxial stress states, the effect of voids on the material response is stronger than expected due to void elongation. For higher triaxiality, the voids interact strongly to cause rapid drops in the material's load carrying capacity.","The second problem examines the effects of tip blunting and differential thinning on a crack in a thin elastic-plastic sheet. The finite element results show that two shear bands at 45 degrees to the plane of the sheet develop. Also, the results indicate the stresses are significantly higher in the near tip region at the midplane of the sheet than predicted by plane stress theory.","Finally, the growth and interaction of an array of initially spherical voids ahead of a blunting plane strain crack tip were studied. The finite element results show that spherical voids grow towards the crack tip and coalesce with the crack before they coalesce with each other. Increases in plastic strain were observed in the near tip region due to the presence of the voids. The results are used to discuss ductile crack growth in engineering alloys.","Made available in DSpace on 2014-12-16T19:12:39Z (GMT). No. of bitstreams: 1 8815356.pdf: 4322761 bytes, checksum: a8953629c2ff761c8edbe31f1987b9ed (MD5) Previous issue date: 1988","Embargo set by: Seth Robbins for item 71862 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","146 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988."]},{"key":"dc:title","label":"Title","values":["Numerical Analysis of the Effects of Void Growth and Crack Tip Opening on Ductile Fracture"]}]}],"canonical_facts":{"dc:contributor":["McMeeking, Robert M.,"],"dc:creator":["Hom, Craig Lee"],"dc:date":["2014-12-16T19:12:39Z","10000-01-01","1988"],"dc:description":["The ductile rupture of metal alloys depends on the presence of small second phase particles which nucleate microscopic voids. Plastic flow in the metal allows the voids to grow and link up to create larger flaws such as cracks. In previous research, the basic mechanics of ductile fracture has been examined using two-dimensional models. However, some problems in ductile fracture are inherently three-dimensional. In this work three such problems are solved using large deformation finite element computations.","First, the finite element technique was used to study the growth of initially spherical voids in a cubic array under remote uniform loads of uniaxial tension, pure shear and high triaxial stress. The results show that shape change has a strong effect on the material's behavior. Indeed for low triaxial stress states, the effect of voids on the material response is stronger than expected due to void elongation. For higher triaxiality, the voids interact strongly to cause rapid drops in the material's load carrying capacity.","The second problem examines the effects of tip blunting and differential thinning on a crack in a thin elastic-plastic sheet. The finite element results show that two shear bands at 45 degrees to the plane of the sheet develop. Also, the results indicate the stresses are significantly higher in the near tip region at the midplane of the sheet than predicted by plane stress theory.","Finally, the growth and interaction of an array of initially spherical voids ahead of a blunting plane strain crack tip were studied. The finite element results show that spherical voids grow towards the crack tip and coalesce with the crack before they coalesce with each other. Increases in plastic strain were observed in the near tip region due to the presence of the voids. The results are used to discuss ductile crack growth in engineering alloys.","Made available in DSpace on 2014-12-16T19:12:39Z (GMT). No. of bitstreams: 1 8815356.pdf: 4322761 bytes, checksum: a8953629c2ff761c8edbe31f1987b9ed (MD5) Previous issue date: 1988","Embargo set by: Seth Robbins for item 71862 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","146 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988."],"dc:identifier":["http://hdl.handle.net/2142/71696","(UMI)AAI8815356"],"dc:subject":["Engineering, Mechanical"],"dc:title":["Numerical Analysis of the Effects of Void Growth and Crack Tip Opening on Ductile Fracture"],"dc:type":["text"],"thesis:degree_discipline":["Theoretical and Applied Mechanics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:05Z"}