On numerical aspects.pdf (3.38 MB)
On numerical aspects of different updating schedules for tracking fracture path in strain localization modeling.
journal contributionposted on 2017-03-02, 00:00 authored by CD Foster, SM Parvaneh
A comparative study is performed that investigates numerical features of different schedules, end-of-step vs. within iterations, for updating fracture path by employing the local and global tracking strategies. Embedded strong discontinuities within an enhanced finite element framework are used to model propagating discontinuities and fracture behavior of quasi-brittle materials. It is shown that end-of-step updating, which is a standard, can cause inaccuracies in peak strength and fracture energy for large time steps. Updating within iterations rectifies the accuracy issues, but at the expense of an increased computational cost. Both schedules yield comparable performance as the step size is refined.
The second author would like to acknowledge the support of the U.S. National Science Foundation, Grant No. CMMI-1030398. We are grateful for this support.
Publisher StatementThis is the author’s version of a work that was accepted for publication in Engineering Fracture Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Engineering Fracture Mechanics. 2016. 152: 26-57. doi: 10.1016/j.engfracmech.2015.11.011.