Cracking elements method for dynamic brittle fracture

authored by: Yiming Zhang, Xiaoying Zhuang
Abstract: The cracking elements (CE) method is a recently presented self-propagating strong discontinuity embedded approach with the statically optimal symmetric (SDA-SOS) formulation for simulating the fracture of quasi-brittle materials. CE uses disconnected cracking segments to represent cracks, and the crack openings are condensed locally; hence, this method does not require remeshing, a cover algorithm or nodal enrichment. Furthermore, local criteria for determining the crack orientations are presented, thus making crack tracking unnecessary. In this paper, we propose a CE numerical procedure for dynamic fractures. Several benchmark tests regarding irregular discretizations are performed, and the results indicate that the CE method is capable of naturally capturing complicated crack patterns in dynamic fractures, including crack branchings.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Hebei University of Technology
Tongji University
Type: Article
Journal: Theoretical and Applied Fracture Mechanics
Volume: 102
Pages: 1-9
No. of pages: 9
ISSN: 0167-8442
Publication date: 08.2019
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Materials Science, Condensed Matter Physics, Mechanical Engineering, Applied Mathematics
Electronic version(s): https://doi.org/10.1016/j.tafmec.2018.09.015 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{2145c0e705d645f580aa300dcd5e80b8,
title = "Cracking elements method for dynamic brittle fracture",
abstract = "The cracking elements (CE) method is a recently presented self-propagating strong discontinuity embedded approach with the statically optimal symmetric (SDA-SOS) formulation for simulating the fracture of quasi-brittle materials. CE uses disconnected cracking segments to represent cracks, and the crack openings are condensed locally; hence, this method does not require remeshing, a cover algorithm or nodal enrichment. Furthermore, local criteria for determining the crack orientations are presented, thus making crack tracking unnecessary. In this paper, we propose a CE numerical procedure for dynamic fractures. Several benchmark tests regarding irregular discretizations are performed, and the results indicate that the CE method is capable of naturally capturing complicated crack patterns in dynamic fractures, including crack branchings.",
keywords = "Cracking elements (CE) method, Dynamic fracture, Quasi-brittle material, Self-propagating cracks",
author = "Yiming Zhang and Xiaoying Zhuang",
note = "Funding information: The authors gratefully acknowledge financial support by the Alexander von Humboldt Foundation , Germany, through Sofja Kovalevskaja Award, year 2015 winner Dr. Xiaoying Zhuang and NSFC ( 11772234 ).",
year = "2019",
month = aug,
doi = "10.1016/j.tafmec.2018.09.015",
language = "English",
volume = "102",
pages = "1--9",
journal = "Theoretical and Applied Fracture Mechanics",
issn = "0167-8442",
publisher = "Elsevier",
}