- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Numerical aspects of phase-field modelling of fracture:...
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Numerical aspects of phase-field modelling of fracture: ideas, results and challenges Gerasimov, Tymofiy
Description
The irreversibility constraint, the non-convexity of governing energy functional and the intrinsically small length-scale are the main sources of algorithmic and numerical challenges for phase-field models of fracture. The talk aims at summarizing the main ideas, results and challenges that we proposed and encountered in addressing the above issues in the past few years. We highlight - various solution strategies for the discretized coupled problem, such as partitioned (staggered) and frontal (monolithic) schemes, with a particular focus on their robustness and efficiency, - various options of incorporating the crack irreversibility constraint, with special focus on our newly proposed penalization approach with a practical and accurate bound for the penalty constant, - a posteriori estimation analysis for the discretization error and the induced adaptive mesh refinements, with a specified hierarchy of the â adaptâ and â solveâ processes. With intensive benchmarking, the implications of the above on simulation results are illustrated and discussed. This is a joint work with L. De Lorenzis
Item Metadata
Title |
Numerical aspects of phase-field modelling of fracture: ideas, results and challenges
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2019-03-04T09:06
|
Description |
The irreversibility constraint, the non-convexity of governing energy functional and the intrinsically small length-scale are the main sources of algorithmic and numerical challenges for phase-field models of fracture.
The talk aims at summarizing the main ideas, results and challenges that we proposed and encountered in addressing the above issues in the past few years. We highlight
- various solution strategies for the discretized coupled problem, such as partitioned (staggered) and frontal (monolithic) schemes, with a particular focus on their robustness and efficiency,
- various options of incorporating the crack irreversibility constraint, with special focus on our newly proposed penalization
approach with a practical and accurate bound for the penalty constant,
- a posteriori estimation analysis for the discretization error and the induced adaptive mesh refinements, with a specified hierarchy of the â adaptâ and â solveâ processes.
With intensive benchmarking, the implications of the above on simulation results are illustrated and discussed.
This is a joint work with L. De Lorenzis
|
Extent |
51.0 minutes
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: TU Braunschweig
|
Series | |
Date Available |
2019-09-01
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0380755
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Postdoctoral
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International