On the crack opening and energy dissipation in a continuum based disconnected crack model

authored by: Yiming Zhang, Zhiran Gao, Yanyan Li, Xiaoying Zhuang
Abstract: All crack models developed to date can be classified into discrete- and continuum-based approaches. While discrete models are advantageously capable of capturing the kinetics of fractures, continuum-based approaches still pique considerable interest due to their straightforward implementation within the finite element method (FEM) framework. The cracking element method (CEM), a recently developed numerical approach for simulating quasi-brittle fracturing, is based on the FEM and does not need remeshing, a nodal cover algorithm, nodal enrichment or a crack-tracking strategy. The CEM takes self-propagating disconnected cracking segments to represent crack paths and naturally captures crack initiation and propagation processes. However, as with other types of continuum-based approaches that employ discontinuous crack paths, one critical question remains: Can the crack openings can be reliably and accurately obtained? To answer this question, a detailed study on the released energy, kinetic model, and displacement between the upper and lower facets of a crack is required. Multiple tests are conducted in this paper, and the results of the CEM are compared with those of the interface element method (IEM), which explicitly describes the crack openings. For reference and comparison purposes, an a priori crack path obtained by using an equivalent crack path (cracked elements) previously obtained from the CEM is implemented for the IEM. The crack openings obtained by the CEM and IEM are subsequently compared, and the results indicate that the crack openings and dissipated energy obtained by the CEM generally agree well with those obtained by the IEM. These findings highlight the effectiveness of utilizing disconnected cracking segments and further demonstrate the robustness and reliability of the CEM.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Hebei University of Technology
Tongji University
Type: Article
Journal: Finite Elements in Analysis and Design
Volume: 170
ISSN: 0168-874X
Publication date: 03.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Analysis, Engineering(all), Computer Graphics and Computer-Aided Design, Applied Mathematics
Electronic version(s): https://doi.org/10.1016/j.finel.2019.103333 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{399da95cbff94936a24113736378af3b,
title = "On the crack opening and energy dissipation in a continuum based disconnected crack model",
abstract = "All crack models developed to date can be classified into discrete- and continuum-based approaches. While discrete models are advantageously capable of capturing the kinetics of fractures, continuum-based approaches still pique considerable interest due to their straightforward implementation within the finite element method (FEM) framework. The cracking element method (CEM), a recently developed numerical approach for simulating quasi-brittle fracturing, is based on the FEM and does not need remeshing, a nodal cover algorithm, nodal enrichment or a crack-tracking strategy. The CEM takes self-propagating disconnected cracking segments to represent crack paths and naturally captures crack initiation and propagation processes. However, as with other types of continuum-based approaches that employ discontinuous crack paths, one critical question remains: Can the crack openings can be reliably and accurately obtained? To answer this question, a detailed study on the released energy, kinetic model, and displacement between the upper and lower facets of a crack is required. Multiple tests are conducted in this paper, and the results of the CEM are compared with those of the interface element method (IEM), which explicitly describes the crack openings. For reference and comparison purposes, an a priori crack path obtained by using an equivalent crack path (cracked elements) previously obtained from the CEM is implemented for the IEM. The crack openings obtained by the CEM and IEM are subsequently compared, and the results indicate that the crack openings and dissipated energy obtained by the CEM generally agree well with those obtained by the IEM. These findings highlight the effectiveness of utilizing disconnected cracking segments and further demonstrate the robustness and reliability of the CEM.",
keywords = "Crack opening model, Cracking elements method, Disconnected crack path approach, Quasi-brittle fracture, Zero thickness interface elements",
author = "Yiming Zhang and Zhiran Gao and Yanyan Li and Xiaoying Zhuang",
note = "Funding information: The authors gratefully acknowledge the financial support by the National Natural Science Foundation of China ( NSFC ) ( 51809069 ) and ( 11772234 ) and by the Hebei Province Natural Science Fund ( E2019202441 ).",
year = "2020",
month = mar,
doi = "10.1016/j.finel.2019.103333",
language = "English",
volume = "170",
journal = "Finite Elements in Analysis and Design",
issn = "0168-874X",
publisher = "Elsevier",
}