Eventos Anais de eventos
MecSol 2017
6th International Symposium on Solid Mechanics
FRACTURE MODELING IN TWO-DIMENSIONAL PROBLEMS USING A G/XFEM OBJECT-ORIENTED IMPLEMENTATION
Submission Author:
Mohammad Malekan , MG
Co-Authors:
FELICIO BARROS, Leandro Silva, Roque Luiz da Silva Pitangueira
Presenter: Mohammad Malekan
doi://10.26678/ABCM.MecSol2017.MSL17-0066
Abstract
A numerical implementation of Generalized or extended finite element method (G/XFEM) to analyze a fractured structure is presented in this paper. A discontinuous function along with the asymptotic crack-tip displacement fields are used to represent the crack without explicitly meshing its surfaces. Generally speaking, the enrichment functions can be continuous, discontinuous or numerically-built (global-local) functions. One of the most important parameters in fracture mechanics is the determination of the crack propagation direction under mixed mode conditions. In the concept of linear elastic fracture mechanics, the stress intensity factor can be used to either determine the crack propagation direction or propagation status, i.e. the crack can start to propagate or not. This paper presents an object-oriented based fracture analysis of two-dimensional problems using G/XFEM method. A domain-based interaction energy integral is used to extract the stress intensity factor for different fracture modes. Also, maximum circumferential stress criterion is selected for calculation of the crack propagation direction. Several algorithms and strategies have been implemented, within an object-oriented framework in Java, within a home-made code. This implementation will be presented in detail by solving different linear elastic fracture mechanics problems for two cases: plane stress and Reissner-Mindlin plate problem. The numerical results are compared with the reference solutions from the analytical, numerical and the literature.
Keywords
Generalized/Extended Finite Element Method, Fracture Mechanics, Object-oriented Programming, Singularity, Stress Intensity Factor, Multi-scale Analysis
