Resumo |
Finite Element Method (FEM) has been widely used for the numerical modeling of structural problems. Use of computer-based FEM programs was greatly facilitated with the development of pre- and post-processors rich interactive graphics capabilities, allowing users with basic knowledge of geometry to easily work with them. Modeling of discontinuous fields with a standard finite element approximation presents challenges like restrictions on the finite element mesh to align with the discontinuity and the need for remeshing as the discontinuity
evolves. The Generalized Finite Element Method (GFEM) was proposed as a numerical method to solve some of these challenges. The GFEM method enriches the standard finite element shape functions locally with enrichment functions which are based on the physics associated with the problem. In this document, our aim is to utilize this method for modeling the nonlinear interface behavior of two surfaces in contact. The final goal of the project in which this research is included is to model mixed-dimensional (3D/Shell/Plate) crack propagation in a thin-walled structure using code-coupling approach between commercial FE analysis package ABAQUS and INSANE in-house platform or performing the whole analysis in INSANE in-house platform, a computational environment developed by the Department of Structural Engineering (DEEs) at the Federal University of Minas Gerais (UFMG), which has been implemented using Object Oriented Programming (OOP). |