3D Dynamic Crack Propagation by the Extended Finite Element Method and a Gradient-Enhanced Damage Model

authored by: M. Pezeshki, S. Loehnert, P. Wriggers, P. A. Guidault, E. Baranger
Abstract: A combined continuous-discontinuous approach to fracture is presented to model crack propagation under dynamic loading. A gradient-enhanced damage model is used to evaluate degradation of the material ahead of the crack. This type of model avoids mesh dependency and pathological effects of local damage models. Discrete cracks are reflected by means of extended finite elements (XFEM) and level sets. For the transition between damage and discrete fracture a damage based criterion is utilized. A discrete crack propagates if a critical damage value at the crack front is reached. The propagation direction is also determined through the damage field. Finally a dynamic mode II crack propagation example is simulated to show the capabilities and robustness of the employed approach.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Université Paris-Saclay
Type: Conference contribution
Pages: 277-299
No. of pages: 23
Publication date: 02.12.2017
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Mechanical Engineering, Computational Theory and Mathematics
Electronic version(s): https://doi.org/10.1007/978-3-319-65463-8_14 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@inproceedings{baee3e34f33d4386b2576cf85f235dcd,
title = "3D Dynamic Crack Propagation by the Extended Finite Element Method and a Gradient-Enhanced Damage Model",
abstract = "A combined continuous-discontinuous approach to fracture is presented to model crack propagation under dynamic loading. A gradient-enhanced damage model is used to evaluate degradation of the material ahead of the crack. This type of model avoids mesh dependency and pathological effects of local damage models. Discrete cracks are reflected by means of extended finite elements (XFEM) and level sets. For the transition between damage and discrete fracture a damage based criterion is utilized. A discrete crack propagates if a critical damage value at the crack front is reached. The propagation direction is also determined through the damage field. Finally a dynamic mode II crack propagation example is simulated to show the capabilities and robustness of the employed approach.",
author = "M. Pezeshki and S. Loehnert and P. Wriggers and Guidault, {P. A.} and E. Baranger",
note = "Funding information: The German Research Association (DFG) is gratefully acknowledged for the support of the IRTG 1627 program.; International Workshop on Multiscale Modeling of Heterogeneous Structures, MUMO 2016 ; Conference date: 21-09-2016 Through 23-09-2016",
year = "2017",
month = dec,
day = "2",
doi = "10.1007/978-3-319-65463-8_14",
language = "English",
isbn = "9783319654621",
series = "Lecture Notes in Applied and Computational Mechanics",
publisher = "Springer Verlag",
pages = "277--299",
editor = "Peter Wriggers and Olivier Allix and Jurica Soric",
booktitle = "Multiscale Modeling of Heterogeneous Structures",
address = "Germany",
}