Details
| Original language | English |
|---|---|
| Pages (from-to) | 15-32 |
| Number of pages | 18 |
| Journal | Finite Elements in Analysis and Design |
| Volume | 159 |
| Early online date | 28 Apr 2019 |
| Publication status | Published - Jul 2019 |
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)
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Mathematics(all)
- Applied Mathematics
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In: Finite Elements in Analysis and Design, Vol. 159, 07.2019, p. 15-32.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A computational framework for brittle crack-propagation based on efficient virtual element method
AU - Hussein, Ali
AU - Aldakheel, Fadi
AU - Hudobivnik, Blaž
AU - Wriggers, Peter
AU - Guidault, Pierre Alain
AU - Allix, Olivier
N1 - 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”.
PY - 2019/7
Y1 - 2019/7
N2 - 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.
AB - 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.
KW - Brittle fracture
KW - Cutting techniques
KW - Stabilization
KW - Virtual element method (VEM)
UR - http://www.scopus.com/inward/record.url?scp=85064650069&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2019.03.001
DO - 10.1016/j.finel.2019.03.001
M3 - Article
AN - SCOPUS:85064650069
VL - 159
SP - 15
EP - 32
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
SN - 0168-874X
ER -