{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/87768"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/87768","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Cord-Reinforced Cylindrical Shells","abstract":"In this work, an analytical approach is used to develop the equations for the displacements from the loads on a cord-reinforced cylindrical shell. The load-deformation relations are developed by considering the mechanics of the matrix, the cords, and the shell. The matrix is modeled using the generalized Hooke's law for an isotropic linear-elastic material. The theory that is used to model the cords was developed by Costello and includes the extension-twist coupling of the cords. For the shell, a set of differential equations for the displacements is derived based upon the analysis of the bending of circular cylindrical shells by Flugge, an equilibrium approach. These equations are solved analytically in closed form for axisymmetric loading. The resulting load--deformation relations are strongly dependent upon the properties of the constituents, including the extension-twist coupling of the cords, and the geometry, boundary conditions, and loading of the cord-reinforced cylindrical shell.","abstract_html":"In this work, an analytical approach is used to develop the equations for the displacements from the loads on a cord-reinforced cylindrical shell. The load-deformation relations are developed by considering the mechanics of the matrix, the cords, and the shell. The matrix is modeled using the generalized Hooke's law for an isotropic linear-elastic material. The theory that is used to model the cords was developed by Costello and includes the extension-twist coupling of the cords. For the shell, a set of differential equations for the displacements is derived based upon the analysis of the bending of circular cylindrical shells by Flugge, an equilibrium approach. These equations are solved analytically in closed form for axisymmetric loading. The resulting load--deformation relations are strongly dependent upon the properties of the constituents, including the extension-twist coupling of the cords, and the geometry, boundary conditions, and loading of the cord-reinforced cylindrical shell.","abstract_has_math":false,"creators":["Paris, Anthony James"],"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":["Costello, George A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-28T16:23:56Z","date_published":"2015-09-28T16:23:56Z","updated_at":"2026-07-22T22:26:30Z","subjects":["Engineering, Automotive"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI9812732"],"render_values":[{"text":"(MiAaPQ)AAI9812732","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/87768","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Costello, George A."]},{"key":"dc:creator","label":"Author","values":["Paris, Anthony James"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-28T16:23:56Z","10000-01-01","1997"]},{"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, Automotive"]}]},{"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/2142/87768","(MiAaPQ)AAI9812732"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this work, an analytical approach is used to develop the equations for the displacements from the loads on a cord-reinforced cylindrical shell. The load-deformation relations are developed by considering the mechanics of the matrix, the cords, and the shell. The matrix is modeled using the generalized Hooke's law for an isotropic linear-elastic material. The theory that is used to model the cords was developed by Costello and includes the extension-twist coupling of the cords. For the shell, a set of differential equations for the displacements is derived based upon the analysis of the bending of circular cylindrical shells by Flugge, an equilibrium approach. These equations are solved analytically in closed form for axisymmetric loading. The resulting load--deformation relations are strongly dependent upon the properties of the constituents, including the extension-twist coupling of the cords, and the geometry, boundary conditions, and loading of the cord-reinforced cylindrical shell.","Made available in DSpace on 2015-09-28T16:23:56Z (GMT). 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The load-deformation relations are developed by considering the mechanics of the matrix, the cords, and the shell. The matrix is modeled using the generalized Hooke's law for an isotropic linear-elastic material. The theory that is used to model the cords was developed by Costello and includes the extension-twist coupling of the cords. For the shell, a set of differential equations for the displacements is derived based upon the analysis of the bending of circular cylindrical shells by Flugge, an equilibrium approach. These equations are solved analytically in closed form for axisymmetric loading. The resulting load--deformation relations are strongly dependent upon the properties of the constituents, including the extension-twist coupling of the cords, and the geometry, boundary conditions, and loading of the cord-reinforced cylindrical shell.","Made available in DSpace on 2015-09-28T16:23:56Z (GMT). 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