Details
| Original language | English |
|---|---|
| Pages (from-to) | 181-200 |
| Number of pages | 20 |
| Journal | International Journal for Multiscale Computational Engineering |
| Volume | 17 |
| Issue number | 2 |
| Publication status | Published - 2019 |
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)
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Engineering(all)
- Computational Mechanics
- Computer Science(all)
- Computer Networks and Communications
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In: International Journal for Multiscale Computational Engineering, Vol. 17, No. 2, 2019, p. 181-200.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Virtual element formulation for phase-field modeling of ductile fracture
AU - Aldakheel, Fadi
AU - Hudobivnik, Blaž
AU - Wriggers, Peter
N1 - 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.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - Ductile fracture
KW - Elastic-viscoplastic solids
KW - Phase-field modeling
KW - Virtual element method (VEM)
UR - http://www.scopus.com/inward/record.url?scp=85064674179&partnerID=8YFLogxK
U2 - 10.1615/intjmultcompeng.2018026804
DO - 10.1615/intjmultcompeng.2018026804
M3 - Article
AN - SCOPUS:85064674179
VL - 17
SP - 181
EP - 200
JO - International Journal for Multiscale Computational Engineering
JF - International Journal for Multiscale Computational Engineering
SN - 1543-1649
IS - 2
ER -