Análisis global-local de medios lineales utilizando el Método de Elementos Finitos Generalizados

The Generalized Finite Element Method (GFEM) is a relatively new numerical method, developed in the mid-1990s. By using concepts of its precursors, the GFEM applies strategies of some meshless formulations within the Finite Element Method (FEM) framework, allowing more flexibility for the numerical solution of boundary value problems (BVP), and being efficient, for example, in those problems that have some kind of discontinuity. This work presents the result of a computational implementation of an already known enrichment strategy: the global-local enrichment, in which the solution of a refined local BVP numerically generates enrichment functions for the global domain. A brief example of application of the technique for linear problems in plane state is presented. The work has been executed in the INSANE system (INteractive Structural ANalysis Environment), a free software developed in the Department of Structural Engineering of the Federal University of Minas Gerais, Brazil.