Virtual element formulation for phase-field modeling of ductile fracture

authored by: Fadi Aldakheel, Blaž Hudobivnik, Peter Wriggers
Abstract: An efficient low-order virtual element method (VEM) for the phase-field modeling of ductile fracture is outlined within this work. The recently developed VEM is a competitive discretization scheme for meshes with highly irregular shaped elements. The phase-field approach is a very powerful technique to simulate complex crack phenomena in multi-physical environments. The formulation in this contribution is based on a minimization of a pseudo-potential density functional for the coupled problem undergoing large strains. The main aspect of development is the extension toward the virtual element formulation due to its flexibility in dealing with complex shapes and arbitrary number of nodes. Two numerical examples illustrate the efficiency, accuracy, and convergence properties of the proposed method.
Organisation(s): Institute of Continuum Mechanics
Type: Article
Journal: International Journal for Multiscale Computational Engineering
Volume: 17
Pages: 181-200
No. of pages: 20
ISSN: 1543-1649
Publication date: 2019
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Control and Systems Engineering, Computational Mechanics, Computer Networks and Communications
Electronic version(s): https://doi.org/10.1615/intjmultcompeng.2018026804 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{777f361843ea407dac17efc38511f47f,
title = "Virtual element formulation for phase-field modeling of ductile fracture",
abstract = "An efficient low-order virtual element method (VEM) for the phase-field modeling of ductile fracture is outlined within this work. The recently developed VEM is a competitive discretization scheme for meshes with highly irregular shaped elements. The phase-field approach is a very powerful technique to simulate complex crack phenomena in multi-physical environments. The formulation in this contribution is based on a minimization of a pseudo-potential density functional for the coupled problem undergoing large strains. The main aspect of development is the extension toward the virtual element formulation due to its flexibility in dealing with complex shapes and arbitrary number of nodes. Two numerical examples illustrate the efficiency, accuracy, and convergence properties of the proposed method.",
keywords = "Ductile fracture, Elastic-viscoplastic solids, Phase-field modeling, Virtual element method (VEM)",
author = "Fadi Aldakheel and Bla{\v z} Hudobivnik and Peter Wriggers",
note = "Funding information: This paper is dedicated to the memory of the late Professor Christian Miehe (1956–2016). The corresponding author gratefully acknowledges support for this research by the “German Research Foundation” (DFG) in (i) the COLLAB-ORATIVE RESEARCH CENTER CRC 1153 “Process chain for the production of hybrid high-performance components through tailored forming,” (ii) the PRIORITY PROGRAM SPP 2020 under the project WR 19/58-1, and (iii) the PRIORITY PROGRAM SPP 1748 under the project WR 19/50-1.",
year = "2019",
doi = "10.1615/intjmultcompeng.2018026804",
language = "English",
volume = "17",
pages = "181--200",
journal = "International Journal for Multiscale Computational Engineering",
issn = "1543-1649",
publisher = "Begell House Inc.",
number = "2",
}