{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3639"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3639","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Análise limite de cascas via otimização","abstract":"Limit analysis of elastic-plastic structures is considered in general and in the particular case of shells. Numerical methods for limit analysis of rotationally symmetric shells are developed. Limit analysis is essentially a problem in optimization. Therefore the theory of plastic collapse is presented by means of optimization theory and also the proposed methods are based on mathematical programming algorithms. Constitutive equations are established for generalized variables as well as plastically admissible stresses and strain are defined. The plastic collapse phenomena is characterized and then the static and kinematic theorems are established as minimum and maximum principles. The plastic collapse theorems are applied to develop static and kinematic numerical methods for the limit analysis of shells of revolution. Both methods involve finite element discretization and solving linear programming problems. Numerical and analytical solutions are presented concerning several models related to pressure vessel design and other plastic shell problems.","abstract_html":"Limit analysis of elastic-plastic structures is considered in general and in the particular case of shells. Numerical methods for limit analysis of rotationally symmetric shells are developed. Limit analysis is essentially a problem in optimization. Therefore the theory of plastic collapse is presented by means of optimization theory and also the proposed methods are based on mathematical programming algorithms. Constitutive equations are established for generalized variables as well as plastically admissible stresses and strain are defined. The plastic collapse phenomena is characterized and then the static and kinematic theorems are established as minimum and maximum principles. The plastic collapse theorems are applied to develop static and kinematic numerical methods for the limit analysis of shells of revolution. Both methods involve finite element discretization and solving linear programming problems. Numerical and analytical solutions are presented concerning several models related to pressure vessel design and other plastic shell problems.","abstract_has_math":false,"creators":["Zouain, Nestor"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Feijóo, Raul Antonino"],"committee_chairs":[],"committee_members":[],"year":1982,"date_issued":"1982-11","date_published":"1982-11","updated_at":"2026-07-24T01:16:07Z","subjects":["Cascas","Plasticidade das estruturas","Método dos elementos finitos","Análise estrutural"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3639","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Feijóo, Raul Antonino"]},{"key":"dc:creator","label":"Author","values":["Zouain, Nestor"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-02-22T14:11:13Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:05:18Z"]},{"key":"dc:date.issued","label":"Date","values":["1982-11"]},{"key":"dc:publisher","label":"Institution","values":["Universidade Federal do Rio de Janeiro"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"]},{"key":"dc:type","label":"Dc Type","values":["Tese"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Cascas","Plasticidade das estruturas","Método dos elementos finitos","Análise estrutural"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11422/3639"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Limit analysis of elastic-plastic structures is considered in general and in the particular case of shells. Numerical methods for limit analysis of rotationally symmetric shells are developed. Limit analysis is essentially a problem in optimization. Therefore the theory of plastic collapse is presented by means of optimization theory and also the proposed methods are based on mathematical programming algorithms. Constitutive equations are established for generalized variables as well as plastically admissible stresses and strain are defined. The plastic collapse phenomena is characterized and then the static and kinematic theorems are established as minimum and maximum principles. The plastic collapse theorems are applied to develop static and kinematic numerical methods for the limit analysis of shells of revolution. Both methods involve finite element discretization and solving linear programming problems. Numerical and analytical solutions are presented concerning several models related to pressure vessel design and other plastic shell problems.","El análisis límite de estructuras de material elasto plástico es considerado en general y luego particularizado al caso del calculo de la carga de colapso plástico de cáscaras. Como aplicación se desarrollan métodos numéricos para el análisis limite de cascaras con simetría de revolución. El análisis límite es esencialmente un problema de optimización. Se acuerdo a este enfoque, la presentación de los fundamentos y la generación de los métodos de resolución se realiza utilizando la teoria y los algoritmos de programación matemática. Las ecuaciones constitutivas son establecidas en función de variables generalizadas y tambien se definen los conceptos de tensiones y deformaciones plasticamente admisibles. El fenômeno de colapso plástico es caracterizado matematicamente para establecer a continuaciõn los teoremas estãtico y cinemãtico de carga límite, como principios de mãximo y mínimo respectivamente. Aplicando los teoremas fundamentales de colapso plãstico, y mediante el empleo del método de elementos finitos y de la programación lineal, se desarrolan dos métodos numéricos, uno estático y otro cinemãtico, para el análisis limite de cáscaras axisimétricas. Se presentan varias soluciones numericas y analíticas para modelos de interes en el proyecto de recipientes sometidos a presión y en otras estructuras laminares."]},{"key":"dc:title","label":"Title","values":["Análise limite de cascas via otimização"]}]}],"canonical_facts":{"dc:contributor.advisor":["Feijóo, Raul Antonino"],"dc:creator":["Zouain, Nestor"],"dc:date.accessioned":["2018-02-22T14:11:13Z"],"dc:date.available":["2026-05-16T03:05:18Z"],"dc:date.issued":["1982-11"],"dc:description.abstract":["Limit analysis of elastic-plastic structures is considered in general and in the particular case of shells. Numerical methods for limit analysis of rotationally symmetric shells are developed. Limit analysis is essentially a problem in optimization. Therefore the theory of plastic collapse is presented by means of optimization theory and also the proposed methods are based on mathematical programming algorithms. Constitutive equations are established for generalized variables as well as plastically admissible stresses and strain are defined. The plastic collapse phenomena is characterized and then the static and kinematic theorems are established as minimum and maximum principles. The plastic collapse theorems are applied to develop static and kinematic numerical methods for the limit analysis of shells of revolution. Both methods involve finite element discretization and solving linear programming problems. Numerical and analytical solutions are presented concerning several models related to pressure vessel design and other plastic shell problems.","El análisis límite de estructuras de material elasto plástico es considerado en general y luego particularizado al caso del calculo de la carga de colapso plástico de cáscaras. Como aplicación se desarrollan métodos numéricos para el análisis limite de cascaras con simetría de revolución. El análisis límite es esencialmente un problema de optimización. Se acuerdo a este enfoque, la presentación de los fundamentos y la generación de los métodos de resolución se realiza utilizando la teoria y los algoritmos de programación matemática. Las ecuaciones constitutivas son establecidas en función de variables generalizadas y tambien se definen los conceptos de tensiones y deformaciones plasticamente admisibles. El fenômeno de colapso plástico es caracterizado matematicamente para establecer a continuaciõn los teoremas estãtico y cinemãtico de carga límite, como principios de mãximo y mínimo respectivamente. Aplicando los teoremas fundamentales de colapso plãstico, y mediante el empleo del método de elementos finitos y de la programación lineal, se desarrolan dos métodos numéricos, uno estático y otro cinemãtico, para el análisis limite de cáscaras axisimétricas. Se presentan varias soluciones numericas y analíticas para modelos de interes en el proyecto de recipientes sometidos a presión y en otras estructuras laminares."],"dc:identifier.uri":["http://hdl.handle.net/11422/3639"],"dc:language":["por"],"dc:publisher":["Universidade Federal do Rio de Janeiro"],"dc:publisher.department":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"],"dc:rights":["Acesso Aberto"],"dc:subject":["Cascas","Plasticidade das estruturas","Método dos elementos finitos","Análise estrutural"],"dc:title":["Análise limite de cascas via otimização"],"dc:type":["Tese"]},"updated_at":"2026-07-24T01:16:07Z"}