Análise limite de cascas via otimização

• Ano de defesa: 1982
• Autor(a) principal: Zouain, Nestor
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Rio de Janeiro; Brasil; Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia; Programa de Pós-Graduação em Engenharia Mecânica; UFRJ
• Palavras-chave em Português: Cascas; Plasticidade das estruturas; Método dos elementos finitos; Análise estrutural; CNPQ::ENGENHARIAS::ENGENHARIA MECANICA::MECANICA DOS SOLIDOS::MECANICA DOS CORPOS SOLIDOS, ELASTICOS E PLASTICOS
• Link de acesso: http://hdl.handle.net/11422/3639

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.