Análise de problemas bidimensionais pelo método dos elementos finitos generalizados estável (MEFGE)

Detalhes bibliográficos
Ano de defesa: 2018
Autor(a) principal: Thaianne Simonetti de Oliveira
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Minas Gerais
UFMG
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: http://hdl.handle.net/1843/BUOS-B32PL3
Resumo: The present work aims to evaluate the performance of the Stable Generalized Finite Element Method (SGFEM), a new approach that derives from a simple modication of enrichment functions used in Generalized Finite Element Method (GFEM), in the linear analysis of two-dimensional problems with plan loading. For this, the expansion of the INSANE (INteractive Structural ANalysis Environment) system, an open source project developed at the Structural Engineering Department of the Federal University of Minas Gerais, is carried out in such a manner that incorporates to this environment a component that provides the required analysis in a generic way, regardless of the nature of the enrichment function chosen and under the approach of SGFEM. This implementation is validated by numerical experiments with dierent problems, involving enrichment functions with distinct features. Among these, there are polynomial functions, singular functions, that describe the solution around a crack in mode I of opening, and jump functions, that incorporate the geometric discontinuity. In each one of these problems, the performance of SGFEM is compared to GFEM. In this way, interesting parameters for both methods are evaluated, such as rates of convergence, solution error, and rates of growth for the scaled condition number. The performance of these methods in the presence of blending elements is also studied