{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/19716"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/19716","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Linear and nonlinear analyses of thick composite circular plates using the finite element method","abstract":"A new finite element for circular plates based on Mindlin's shear-deformable plate theory is developed. Unlike conventional plate elements, these new elements may be stacked on top of one another to model laminated plates. The elements assure continuity of the displacements between the layers, but not continuity of the traction vectors. The element does not account for interlaminar slip or debonding between the layers. Each layer in the laminated plate is allowed an independent rotation. Hence, the model gives more accurate results than classical lamination theory models.","abstract_html":"A new finite element for circular plates based on Mindlin's shear-deformable plate theory is developed. Unlike conventional plate elements, these new elements may be stacked on top of one another to model laminated plates. The elements assure continuity of the displacements between the layers, but not continuity of the traction vectors. The element does not account for interlaminar slip or debonding between the layers. Each layer in the laminated plate is allowed an independent rotation. Hence, the model gives more accurate results than classical lamination theory models.","abstract_has_math":false,"creators":["Thiel, George Henry"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Science","degree_department":null,"school":null,"contributors":["Miller, Robert E."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:16:15Z","date_published":"2011-05-07T12:16:15Z","updated_at":"2026-07-22T22:25:14Z","subjects":["Applied Mechanics","Engineering, Aerospace","Engineering, Civil"],"languages":["eng"],"rights":["Copyright 1991 Thiel, George Henry"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9211010","(UMI)AAI9211010"],"render_values":[{"text":"AAI9211010","href":null,"code":true},{"text":"(UMI)AAI9211010","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/19716","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Miller, Robert E."]},{"key":"dc:creator","label":"Author","values":["Thiel, George Henry"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:16:15Z","10000-01-01","1991"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Science"]},{"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, Aerospace","Engineering, Civil"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1991 Thiel, George Henry"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9211010","(UMI)AAI9211010","http://hdl.handle.net/2142/19716"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["A new finite element for circular plates based on Mindlin's shear-deformable plate theory is developed. Unlike conventional plate elements, these new elements may be stacked on top of one another to model laminated plates. The elements assure continuity of the displacements between the layers, but not continuity of the traction vectors. The element does not account for interlaminar slip or debonding between the layers. Each layer in the laminated plate is allowed an independent rotation. Hence, the model gives more accurate results than classical lamination theory models.","The plate element is more efficient than solid elements because it accurately models the structure while keeping the degrees of freedom per element to a minimum. Also, if one uses solid elements to model a laminated circular plate, many more elements would have to be used in the model to avoid loss of accuracy due to a large aspect ratio. The new element is also immune from shear locking (at least for radius to thickness ratios up to 500) without having to incorporate complex numerical integration schemes. In fact, the element's stiffness matrix may be integrated in closed form; this is not possible for most plate elements in the literature.","The circular plate element is incorporated into a nonlinear finite element code based on the total Lagrangian formulation. The inclusion of the shear deformation allows this finite element to model the large deflection of laminated circular plates accurately and efficiently.","Made available in DSpace on 2011-05-07T12:16:15Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9211010.pdf: 6828389 bytes, checksum: b7814fd9f7c0213cf9cc938107581e1f (MD5) Previous issue date: 1991","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:38:57Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:16:18-05:00 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":["Linear and nonlinear analyses of thick composite circular plates using the finite element method"]}]}],"canonical_facts":{"dc:contributor":["Miller, Robert E."],"dc:creator":["Thiel, George Henry"],"dc:date":["2011-05-07T12:16:15Z","10000-01-01","1991"],"dc:description":["A new finite element for circular plates based on Mindlin's shear-deformable plate theory is developed. Unlike conventional plate elements, these new elements may be stacked on top of one another to model laminated plates. The elements assure continuity of the displacements between the layers, but not continuity of the traction vectors. The element does not account for interlaminar slip or debonding between the layers. Each layer in the laminated plate is allowed an independent rotation. Hence, the model gives more accurate results than classical lamination theory models.","The plate element is more efficient than solid elements because it accurately models the structure while keeping the degrees of freedom per element to a minimum. Also, if one uses solid elements to model a laminated circular plate, many more elements would have to be used in the model to avoid loss of accuracy due to a large aspect ratio. The new element is also immune from shear locking (at least for radius to thickness ratios up to 500) without having to incorporate complex numerical integration schemes. In fact, the element's stiffness matrix may be integrated in closed form; this is not possible for most plate elements in the literature.","The circular plate element is incorporated into a nonlinear finite element code based on the total Lagrangian formulation. The inclusion of the shear deformation allows this finite element to model the large deflection of laminated circular plates accurately and efficiently.","Made available in DSpace on 2011-05-07T12:16:15Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9211010.pdf: 6828389 bytes, checksum: b7814fd9f7c0213cf9cc938107581e1f (MD5) Previous issue date: 1991","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:38:57Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:16:18-05:00 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"],"dc:identifier":["AAI9211010","(UMI)AAI9211010","http://hdl.handle.net/2142/19716"],"dc:language":["eng"],"dc:rights":["Copyright 1991 Thiel, George Henry"],"dc:subject":["Applied Mechanics","Engineering, Aerospace","Engineering, Civil"],"dc:title":["Linear and nonlinear analyses of thick composite circular plates using the finite element method"],"dc:type":["text"],"thesis:degree_discipline":["Mechanical Science"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:14Z"}