{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/83805"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/83805","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"An Assessment of in-Service Stress Relaxation of a Work-Hardened Aluminum-Magnesium Alloy","abstract":"The bent beam relaxation test---a simple method to measure relaxation at stress levels well below the usual 0.2% offset yield stress, is outlined first, and the method to analyze the experimental results is also discussed. Several constitutive models are applied to fit the experimental results, such as the mechanical threshold stress (MTS) model, Hart's model and a modified Hart's model. The fitting results show that only the Modified Hart's model can provide a consistent description for stress relaxation, especially the initial transient process. However; with the special phenomenological expression in the plastic element, the Hart's type models are not suitable for simulating the deformation with bulk plastic flow. In order to predict the typical industrial forming and in-service response of sheet metal, such as sheet metal forming and subsequent springback or relaxation, a general model---the Mix model, is proposed. The new model keeps the basic frame of the Modified Hart's model and introduces the expression of the MTS model to represent the macro-plastic deformation. As a result, this model can characterize well both the micro-plastic processes that lead to stress relaxation and springback, and the bulk plastic flow in the process of sheet metal forming. The algorithm of time integration of the Mix model is also discussed and implemented within ABAQUS by a UMAT. The numerical simulations for the bent beam relaxation test and several complex deformation processes, including time-dependent springback, are per formed based on the developed code. The simulated results are encouraging. It is proven that the Mix model is effective to evaluate the time-dependent stress relaxation and springback.","abstract_html":"The bent beam relaxation test---a simple method to measure relaxation at stress levels well below the usual 0.2% offset yield stress, is outlined first, and the method to analyze the experimental results is also discussed. Several constitutive models are applied to fit the experimental results, such as the mechanical threshold stress (MTS) model, Hart's model and a modified Hart's model. The fitting results show that only the Modified Hart's model can provide a consistent description for stress relaxation, especially the initial transient process. However; with the special phenomenological expression in the plastic element, the Hart's type models are not suitable for simulating the deformation with bulk plastic flow. In order to predict the typical industrial forming and in-service response of sheet metal, such as sheet metal forming and subsequent springback or relaxation, a general model---the Mix model, is proposed. The new model keeps the basic frame of the Modified Hart's model and introduces the expression of the MTS model to represent the macro-plastic deformation. As a result, this model can characterize well both the micro-plastic processes that lead to stress relaxation and springback, and the bulk plastic flow in the process of sheet metal forming. The algorithm of time integration of the Mix model is also discussed and implemented within ABAQUS by a UMAT. The numerical simulations for the bent beam relaxation test and several complex deformation processes, including time-dependent springback, are per formed based on the developed code. The simulated results are encouraging. It is proven that the Mix model is effective to evaluate the time-dependent stress relaxation and springback.","abstract_has_math":false,"creators":["Zhu, Lihua"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Beaudoin, Armand J."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T21:12:11Z","date_published":"2015-09-25T21:12:11Z","updated_at":"2026-07-22T22:26:22Z","subjects":["Engineering, Industrial"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3111666"],"render_values":[{"text":"(MiAaPQ)AAI3111666","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/83805","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Beaudoin, Armand J."]},{"key":"dc:creator","label":"Author","values":["Zhu, Lihua"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T21:12:11Z","10000-01-01","2003"]},{"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":["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, Industrial"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/83805","(MiAaPQ)AAI3111666"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The bent beam relaxation test---a simple method to measure relaxation at stress levels well below the usual 0.2% offset yield stress, is outlined first, and the method to analyze the experimental results is also discussed. Several constitutive models are applied to fit the experimental results, such as the mechanical threshold stress (MTS) model, Hart's model and a modified Hart's model. The fitting results show that only the Modified Hart's model can provide a consistent description for stress relaxation, especially the initial transient process. However; with the special phenomenological expression in the plastic element, the Hart's type models are not suitable for simulating the deformation with bulk plastic flow. In order to predict the typical industrial forming and in-service response of sheet metal, such as sheet metal forming and subsequent springback or relaxation, a general model---the Mix model, is proposed. The new model keeps the basic frame of the Modified Hart's model and introduces the expression of the MTS model to represent the macro-plastic deformation. As a result, this model can characterize well both the micro-plastic processes that lead to stress relaxation and springback, and the bulk plastic flow in the process of sheet metal forming. The algorithm of time integration of the Mix model is also discussed and implemented within ABAQUS by a UMAT. The numerical simulations for the bent beam relaxation test and several complex deformation processes, including time-dependent springback, are per formed based on the developed code. The simulated results are encouraging. It is proven that the Mix model is effective to evaluate the time-dependent stress relaxation and springback.","Made available in DSpace on 2015-09-25T21:12:11Z (GMT). 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Several constitutive models are applied to fit the experimental results, such as the mechanical threshold stress (MTS) model, Hart's model and a modified Hart's model. The fitting results show that only the Modified Hart's model can provide a consistent description for stress relaxation, especially the initial transient process. However; with the special phenomenological expression in the plastic element, the Hart's type models are not suitable for simulating the deformation with bulk plastic flow. In order to predict the typical industrial forming and in-service response of sheet metal, such as sheet metal forming and subsequent springback or relaxation, a general model---the Mix model, is proposed. The new model keeps the basic frame of the Modified Hart's model and introduces the expression of the MTS model to represent the macro-plastic deformation. As a result, this model can characterize well both the micro-plastic processes that lead to stress relaxation and springback, and the bulk plastic flow in the process of sheet metal forming. The algorithm of time integration of the Mix model is also discussed and implemented within ABAQUS by a UMAT. The numerical simulations for the bent beam relaxation test and several complex deformation processes, including time-dependent springback, are per formed based on the developed code. The simulated results are encouraging. It is proven that the Mix model is effective to evaluate the time-dependent stress relaxation and springback.","Made available in DSpace on 2015-09-25T21:12:11Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3111666.pdf: 6205499 bytes, checksum: dd14b7631083adf1c902136a641f056e (MD5) Previous issue date: 2003","Embargo set by: Seth Robbins for item 85086 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","150 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003."],"dc:identifier":["http://hdl.handle.net/2142/83805","(MiAaPQ)AAI3111666"],"dc:language":["eng"],"dc:subject":["Engineering, Industrial"],"dc:title":["An Assessment of in-Service Stress Relaxation of a Work-Hardened Aluminum-Magnesium Alloy"],"dc:type":["text"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:22Z"}