Energy minimizing multi-crack growth in linear elastic fracture using the extended finite element method
English
Sutula, Danas[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Bordas, Stéphane[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
31-Mar-2016
ACME-UK 2016 24th Conference on Computational Mechanics
Yes
24th Conference of the Association for Computational Mechanics in Engineering (ACCME)
from 31-03-2016 to 01-04-2016
Cardiff University
Cardiff
[en] Energy minimisation ; linear elastic fracture ; crack growth criteria ; extended finite element method ; xfem
[en] We investigate multiple fracture evolution under quasi-static conditions in an isotropic linear elastic solid based on the principle of minimum potential elastic energy in the framework of the extended finite element method. The technique enables a minimization of the potential energy with respect to all crack increment directions. Results show that the maximum hoop stress criterion and the energy minimization approach converge to the same fracture path. It is found that the converged solution lies in between the fracture paths obtained by each criterion for coarser meshes. This presents an opportunity to estimate an upper and lower bound of the true fracture path as well as an error on the crack path.