Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
ENRICHED MODIFIED LOCAL GREEN’S FUNCTION METHOD APPLIED TO ELASTO STATIC PROBLEMS
Submission Author:
Marcelo Pinto da Silva , PR
Co-Authors:
João Elias Abdalla Filho, yang shang hsu, ROBERTO Dalledone Machado, Marcelo Pinto da Silva
Presenter: Marcelo Pinto da Silva
doi://10.26678/ABCM.COBEM2017.COB17-0092
Abstract
On one hand, we have a powerful integral technique called Modified Local Green’s Function Method (MLGFM) that has been adopted to solve several problems in continuum mechanics last decades. It uses the finite element method (FEM) as an auxiliary tool to automatically develop the Green’s functions projections without knowing the fundamental solutions in opposite of boundary element method (BEM). On the other hand, procedures based on the addition of new shape functions in conventional FEM known by Enriched Methods have been explored in order to improve its solution. In this paper, the Modified Local Green’s Function Method is now enriched by Lobatto shape functions in the boundary, in the domain and in the both spaces. Some standard set of elasto static problems are employed and compared with the MLFGM, conventional FEM and analytical solution.
Keywords
Modified Local Green’s Function Method, Enriched Methods, Hierarchical Finite Element, Lobatto Shape Functions
