{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/101381"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/101381","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Impact of microstructural parameters on topology optimization of structures made of composites with elliptical inclusions","abstract":"This thesis seeks to determine the relationship between the parameters that define microstructures composed of a matrix with periodic elliptical inclusions and the macroscopic shapes obtained using structural topology optimization. Stiffness properties for a range of microstructures were obtained computationally through homogenization, and these properties were used to conduct topology optimization on two canonical structural problems. Effectiveness was evaluated on the basis of final total strain energy when compared to a reference configuration. Local minima were found for the two structural problems and various microstructure configurations, indicating that the microstructure of composites with elliptical inclusions can be fine-tuned for topology optimization. For example, when making a cantilever beam from a material with soft, horizontal inclusions, ensuring that the aspect ratio of the inclusions is 2.25 will yield the best result after topology optimization is applied. Optimality criteria such as this have important implications in composite component design.","abstract_html":"This thesis seeks to determine the relationship between the parameters that define microstructures composed of a matrix with periodic elliptical inclusions and the macroscopic shapes obtained using structural topology optimization. Stiffness properties for a range of microstructures were obtained computationally through homogenization, and these properties were used to conduct topology optimization on two canonical structural problems. Effectiveness was evaluated on the basis of final total strain energy when compared to a reference configuration. Local minima were found for the two structural problems and various microstructure configurations, indicating that the microstructure of composites with elliptical inclusions can be fine-tuned for topology optimization. For example, when making a cantilever beam from a material with soft, horizontal inclusions, ensuring that the aspect ratio of the inclusions is 2.25 will yield the best result after topology optimization is applied. Optimality criteria such as this have important implications in composite component design.","abstract_has_math":false,"creators":["Kozuch, Christopher"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Theoretical & Applied Mechans","degree_department":null,"school":null,"contributors":["Jasiuk, Iwona M."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-09-04T20:47:32Z","date_published":"2018-09-04T20:47:32Z","updated_at":"2026-07-22T22:24:40Z","subjects":["elliptical","inclusion","topology","optimization","composite"],"languages":["en"],"rights":["Copyright 2018 Christopher Kozuch"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/101381","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Jasiuk, Iwona M."]},{"key":"dc:creator","label":"Author","values":["Kozuch, Christopher"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-09-04T20:47:32Z","2020-09-05T09:15:16Z","2018-04-26","2018-05"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Theoretical & Applied Mechans"]},{"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":["elliptical","inclusion","topology","optimization","composite"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2018 Christopher Kozuch"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/101381"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis seeks to determine the relationship between the parameters that define microstructures composed of a matrix with periodic elliptical inclusions and the macroscopic shapes obtained using structural topology optimization. Stiffness properties for a range of microstructures were obtained computationally through homogenization, and these properties were used to conduct topology optimization on two canonical structural problems. Effectiveness was evaluated on the basis of final total strain energy when compared to a reference configuration. Local minima were found for the two structural problems and various microstructure configurations, indicating that the microstructure of composites with elliptical inclusions can be fine-tuned for topology optimization. For example, when making a cantilever beam from a material with soft, horizontal inclusions, ensuring that the aspect ratio of the inclusions is 2.25 will yield the best result after topology optimization is applied. Optimality criteria such as this have important implications in composite component design.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2020-05-01","The student, Christopher Kozuch, accepted the attached license on 2018-04-26 at 10:36.","The student, Christopher Kozuch, submitted this Thesis for approval on 2018-04-26 at 10:44.","This Thesis was approved for publication on 2018-04-26 at 12:26.","DSpace SAF Submission Ingestion Package generated from Vireo submission #12517 on 2018-08-31 at 17:30:33","Made available in DSpace on 2018-09-04T20:47:32Z (GMT). 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Stiffness properties for a range of microstructures were obtained computationally through homogenization, and these properties were used to conduct topology optimization on two canonical structural problems. Effectiveness was evaluated on the basis of final total strain energy when compared to a reference configuration. Local minima were found for the two structural problems and various microstructure configurations, indicating that the microstructure of composites with elliptical inclusions can be fine-tuned for topology optimization. For example, when making a cantilever beam from a material with soft, horizontal inclusions, ensuring that the aspect ratio of the inclusions is 2.25 will yield the best result after topology optimization is applied. Optimality criteria such as this have important implications in composite component design.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2020-05-01","The student, Christopher Kozuch, accepted the attached license on 2018-04-26 at 10:36.","The student, Christopher Kozuch, submitted this Thesis for approval on 2018-04-26 at 10:44.","This Thesis was approved for publication on 2018-04-26 at 12:26.","DSpace SAF Submission Ingestion Package generated from Vireo submission #12517 on 2018-08-31 at 17:30:33","Made available in DSpace on 2018-09-04T20:47:32Z (GMT). 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