Elementos finitos paramétricos implementados em Java

Abstract

This masters thesis refers to the implementation of parametric formulation of finite element method (FEM) in Java language. All this work was implemented in numeric core of INSANE (INteractive Structural ANalysis Environment), a computational system which aims the appropriation of modern recourses for software development to helpresearch in computational and numeric methods applied to engineering.The parametric formulation of FEM is studied, enumerating its generalities and correlations with object oriented programming (OOP). It is verified that the OOP are quite appropriated for the implementation of FEM parametric formulation. An object oriented analysis to identify the main necessary classes of the problem representation is done.The implementations object oriented project is shown with unified modelling language (UML). The implemented FEM recourses in this work are several types of parametric elements including one-dimensional elements with two, three an four nodes; two-dimensional quadrilateral and axisymmetric quadrilateral elements with four, eight and nine nodes;two-dimensional triangular and axisymmetric triangular elements with three, six and ten nodes; and three-dimensional hexahedral elements with eight and twenty nodes. The analysis models implemented are: one-dimensional; two dimensional plane stress and plane strain and axisymmetric; and three-dimensional. For the integral calculus relatedto parametric formulation a Gauss numeric integration was implemented. The implemented distributed loads are in lines, areas and in volumes. It was implemented linear elastic isotropic material and solution by equilibrium for problems of stress analysis. The recourses correct functioning are validated by several examples shown.