scholarly journals Elasto-Plastic Analysis Using the Generalized Finite Element Method with Global-Local Enrichment Functions

2012 ◽  
Vol 12 (1) ◽  
pp. 17-22
Author(s):  
So Jeong Han ◽  
Dae Jin Kim ◽  
Chang Joon Lee
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Generalized Finite Element Method ◽  
Plastic Analysis ◽  
Local Enrichment ◽  
Generalized Finite Element ◽  
Element Method

Analysis of Interacting Cracks Using the Generalized Finite Element Method With Global-Local Enrichment Functions

2008 ◽  
Vol 75 (5) ◽  
Author(s):  
Dae-Jin Kim ◽  
Carlos Armando Duarte ◽  
Jeronymo Peixoto Pereira
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Experiments ◽  
Local Analysis ◽  
Generalized Finite Element Method ◽  
Global Approximation ◽  
Local Boundary ◽  
Local Enrichment ◽  
Generalized Finite Element ◽  
Element Method

This paper presents an analysis of interacting cracks using a generalized finite element method (GFEM) enriched with so-called global-local functions. In this approach, solutions of local boundary value problems computed in a global-local analysis are used to enrich the global approximation space through the partition of unity framework used in the GFEM. This approach is related to the global-local procedure in the FEM, which is broadly used in industry to analyze fracture mechanics problems in complex three-dimensional geometries. In this paper, we compare the effectiveness of the global-local FEM with the GFEM with global-local enrichment functions. Numerical experiments demonstrate that the latter is much more robust than the former. In particular, the GFEM is less sensitive to the quality of boundary conditions applied to local problems than the global-local FEM. Stress intensity factors computed with the conventional global-local approach showed errors of up to one order of magnitude larger than in the case of the GFEM. The numerical experiments also demonstrate that the GFEM can account for interactions among cracks with different scale sizes, even when not all cracks are modeled in the global domain.

Steady State Heat Conduction Modeling by the Generalized Finite Element Method

2018 ◽  
Author(s):  
Humberto Alves da Silveira Monteiro ◽  
Guilherme Garcia Botelho ◽  
Roque Luiz da Silva Pitangueira ◽  
Rodrigo Peixoto ◽  
FELICIO BARROS
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Steady State ◽  
Generalized Finite Element Method ◽  
State Heat ◽  
Steady State Heat ◽  
Generalized Finite Element ◽  
Element Method
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