{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/20508"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/20508","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Plasticity and non-simple materials","abstract":"\"The connection between non-simple materials and plasticity is explored. The thermodynamic relations of conventional rate-independent plasticity and various classes of second-deformation-gradient plasticity are derived within the context of a theory with internal variables using the \"\"Coleman-Noll\"\" procedure. Models of conventional and gradient-dependent, rate-independent thermo-plasticity are developed based on the foregoing thermodynamic relations. In contrast with generalized elasticity, it is shown that plasticity with internal variables is capable of exhibiting noll-simple constitutive response in the absence of higher-order stresses.\"","abstract_html":""The connection between non-simple materials and plasticity is explored. The thermodynamic relations of conventional rate-independent plasticity and various classes of second-deformation-gradient plasticity are derived within the context of a theory with internal variables using the ""Coleman-Noll"" procedure. Models of conventional and gradient-dependent, rate-independent thermo-plasticity are developed based on the foregoing thermodynamic relations. In contrast with generalized elasticity, it is shown that plasticity with internal variables is capable of exhibiting noll-simple constitutive response in the absence of higher-order stresses."","abstract_has_math":false,"creators":["Acharya, Amit"],"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":["Shawki, Tarek G."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:41:14Z","date_published":"2011-05-07T12:41:14Z","updated_at":"2026-07-22T22:25:16Z","subjects":["Applied Mechanics","Engineering, Mechanical"],"languages":["eng"],"rights":["Copyright 1994 Acharya, Amit"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9512274","(UMI)AAI9512274"],"render_values":[{"text":"AAI9512274","href":null,"code":true},{"text":"(UMI)AAI9512274","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/20508","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Shawki, Tarek G."]},{"key":"dc:creator","label":"Author","values":["Acharya, Amit"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:41:14Z","10000-01-01","1994"]},{"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":["Applied Mechanics","Engineering, Mechanical"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1994 Acharya, Amit"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9512274","(UMI)AAI9512274","http://hdl.handle.net/2142/20508"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"The connection between non-simple materials and plasticity is explored. The thermodynamic relations of conventional rate-independent plasticity and various classes of second-deformation-gradient plasticity are derived within the context of a theory with internal variables using the \"\"Coleman-Noll\"\" procedure. Models of conventional and gradient-dependent, rate-independent thermo-plasticity are developed based on the foregoing thermodynamic relations. In contrast with generalized elasticity, it is shown that plasticity with internal variables is capable of exhibiting noll-simple constitutive response in the absence of higher-order stresses.\"","This thesis also examines localization in dynamic shearing motions of a class of incompressible, gradient-dependent plastic solids. A linear stability analysis coupled with a numerical study of the nonlinear problem indicates interesting new features, in the class of motions considered, due to the gradient modification.","Made available in DSpace on 2011-05-07T12:41:14Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9512274.pdf: 3272816 bytes, checksum: cc06cde2c5d64f857158cb96c90e54b4 (MD5) Previous issue date: 1994","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:44:22Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:19:31-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Plasticity and non-simple materials"]}]}],"canonical_facts":{"dc:contributor":["Shawki, Tarek G."],"dc:creator":["Acharya, Amit"],"dc:date":["2011-05-07T12:41:14Z","10000-01-01","1994"],"dc:description":["\"The connection between non-simple materials and plasticity is explored. The thermodynamic relations of conventional rate-independent plasticity and various classes of second-deformation-gradient plasticity are derived within the context of a theory with internal variables using the \"\"Coleman-Noll\"\" procedure. Models of conventional and gradient-dependent, rate-independent thermo-plasticity are developed based on the foregoing thermodynamic relations. In contrast with generalized elasticity, it is shown that plasticity with internal variables is capable of exhibiting noll-simple constitutive response in the absence of higher-order stresses.\"","This thesis also examines localization in dynamic shearing motions of a class of incompressible, gradient-dependent plastic solids. A linear stability analysis coupled with a numerical study of the nonlinear problem indicates interesting new features, in the class of motions considered, due to the gradient modification.","Made available in DSpace on 2011-05-07T12:41:14Z (GMT). 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