POTENTIAL AND ELASTOSTATIC ANALYSIS IN NON HOMOGENEOUS TWO-DIMENSIONAL DOMAINS USING THE BOUNDARY ELEMENT METHOD
Caio César Rocha Ramos1; Calebe Paiva Gomes de Souza1
1 Universidade Federal do Piauí
doi:10.20906/CPS/CILAMCE2017-1265
Resumo
The goal of this paper is to present a boundary element analysis of potential and elastostatic problems, in homogeneous and non-homogeneous materials, implemented in a computational platform developed in MATLAB. It were used mixed meshes composed by continuous, discontinuous and partially discontinuous isoparametric quadratic elements. The definition of the nodes that should be shifted from the ends of the elements was based on strategies embedded into the pre-processor, which aim to avoid limitations in the spectrum of problems that can be exploited, without considerably increasing of the computational cost. The singular integrals of the quadratic elements were treated using the process of separation in singular and non-singular parts, realized in a general way to cover elements that have or do not have discontinuities. In the treatment of domains that consist of zones of different materials, it was applied the Subregions Technique. A number of classical test problems have been examined, as well as its graphical results, generated by post-processor. The numerical results when compared with available analytical solutions and approximate solutions provided by ANSYS, using the Finite Element Method, demonstrated great accuracy.
Palavras-chave: Computational Implementation; Boundary Element Method; Subregions Technique; Two-dimensional Analysis