ANÁLISE DE POTENCIAL DE UM SÓLIDO BIDIMENSIONAL UTILIZANDO O MÉTODO DE ELEMENTOS DE CONTORNO

Abstract

Solving problems in science and engineering goes through several stages of simplification. Among them is the proposition of the approximate mathematical model, using differential equations. The choice of the solution method of these differential equations and the numerical simplification through the discretization of the problem. The contour element method is one of the rough methods used in science and engineering. It is applied in the solution of differential equations, where they are transformed into integral equations applied to the contour of the problem. This in turn is discretized in elements that can be, linear constants, quadratic or cubic. This method applies to different engineering problems, such as: fracture mechanics, contact mechanics, acoustic barriers, cathodic protection (in ships' hulls and electrical distribution towers), and elasticity problems. In this line of reasoning, the objective of this work is the implementation of a program for potential analysis of a two-dimensional solid using the Boundary Element Method.