A computational framework for brittle crack-propagation based on efficient virtual element method

authored by: Ali Hussein, Fadi Aldakheel, Blaž Hudobivnik, Peter Wriggers, Pierre Alain Guidault, Olivier Allix
Abstract: An efficient low order virtual element method (VEM) for crack-propagation in elastic solids at small strains is outlined within this work. The recently developed VEM is a competitive discretization scheme for meshes with highly irregular shaped elements and arbitrary number of nodes. The formulation in this contribution is based on minimization of an energy expression with stabilization techniques for brittle fracture in 2D problems. Novel aspect here is the development of robust cutting techniques through elements for crack propagation in two-dimensional solids using VEM. The performance of the formulation is underlined by means of representative examples.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Université Paris-Saclay
Type: Article
Journal: Finite Elements in Analysis and Design
Volume: 159
Pages: 15-32
No. of pages: 18
ISSN: 0168-874X
Publication date: 07.2019
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Analysis, General Engineering, Computer Graphics and Computer-Aided Design, Applied Mathematics
Electronic version(s): https://doi.org/10.1016/j.finel.2019.03.001 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{aba7460a9c62439989a9a00e38c1ef55,
title = "A computational framework for brittle crack-propagation based on efficient virtual element method",
abstract = "An efficient low order virtual element method (VEM) for crack-propagation in elastic solids at small strains is outlined within this work. The recently developed VEM is a competitive discretization scheme for meshes with highly irregular shaped elements and arbitrary number of nodes. The formulation in this contribution is based on minimization of an energy expression with stabilization techniques for brittle fracture in 2D problems. Novel aspect here is the development of robust cutting techniques through elements for crack propagation in two-dimensional solids using VEM. The performance of the formulation is underlined by means of representative examples.",
keywords = "Brittle fracture, Cutting techniques, Stabilization, Virtual element method (VEM)",
author = "Ali Hussein and Fadi Aldakheel and Bla{\v z} Hudobivnik and Peter Wriggers and Guidault, {Pierre Alain} and Olivier Allix",
note = "Funding information: The first author gratefully acknowledges support for this research by the “ German Research Foundation ” (DFG) in the International Research and Training Group IRTG 1627 . The second author acknowledges the support within the Priority Program SPP 2020 under the project WR 19/58-1 . The third author was supported by the Priority Program SPP 1748 under the project WR 19/50-1 and the fourth author acknowledges the support through the collaborative research center CRC 1153 “Process chain for the production of hybrid high-performance components through tailored forming”.",
year = "2019",
month = jul,
doi = "10.1016/j.finel.2019.03.001",
language = "English",
volume = "159",
pages = "15--32",
journal = "Finite Elements in Analysis and Design",
issn = "0168-874X",
publisher = "Elsevier",
}