MODELING BOUNDARY ELEMENT METHOD FOR THE ANALYSIS OF BEAMS COMPOSED OF DIFFERENT MATERIALS

Resumo

In structural engineering more and more elements characterized as composites are being used. A
previous understanding characterizes materials consisting of layers, in general, even varying the nature of the
materials. The present paper presents an approach for analyzing the structural behavior of a beam formed of
different materials from 2D modeling in numerical method. A computational implementation of the Boundary
Element Method (BEM) was developed using the PYTHON programming language. The code "MEC 2D" was
elaborated using Kelvin's fundamental solution with the use of continuous and discontinuous linear elements for
the discretization of the boundary and interfaces of the subregions characterizing each material. The BEM
formulation allows, therefore, the modeling of subregions for the assembly of the domain, in this case, the complete
beam. The behavior is evaluated from the displacements obtained for the boundary and internal points, as well as
the stresses, evaluating these fields conveniently in graph form. Applications were performed to test the
implemented modeling.