On the implementation of SGFEM simulation of cohesive crack propagation problems
Palavras-chave:
Stable Generalized Finite Element Method, Generalized Finite Element Method, Computational Mechanics, Fracture Mechanics, Object Oriented Programming, Non-linear analysisResumo
The present work aims to discuss some details regarding the implementation of a cohesive crack prop-
agation system using the Stable Generalized Finite Element Method (SGFEM), a relatively new approach that
derives from a simple modification of enrichment functions used in Generalized/eXtended Finite Element Method
(G/XFEM). For this, a combination between Heaviside functions that employ a stabilization parameter, presented
in Wu and Li [1], and a trigonometric function [2] is used as enrichment. A cohesive crack model is considered.
Though nonlinear material models, e. g., damage or plasticity, could be used, the bulk is considered as a linear
elastic material for the discussions carried out in this work. Results involving crack direction criteria, as proposed
by Wells and Sluys [3] and Moes and Belytschko [2], are also compared. To the best of the authors knowledge, ̈
SGFEM has never been applied to simulate cohesive crack propagation problems with the presence of trigonomet-
ric enrichment functions. This work is related to a proposal of expansion of the INSANE (INteractive Structural
ANalysis Environment) system, an open-source project developed at the Structural Engineering Department of
the Federal University of Minas Gerais. This platform has enabled the resources that allowed the implementation
discussed in this work.
