Abstract
We propose in this paper a reduced order modelling technique based on domain partitioning for parametric problems of fracture. We show that coupling domain decomposition and projection-based model order reduction permits to focus the numerical effort where it is most needed: around the zones where damage propagates. No a priori knowledge of the damage pattern is required, the extraction of the corresponding spatial regions being based solely on algebra. The efficiency of the proposed approach is demonstrated numerically with an example relevant to engineering fracture.
Original language | English |
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Pages (from-to) | 169-188 |
Number of pages | 20 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 256 |
DOIs | |
Publication status | Published - 2013 Apr 1 |
Keywords
- Domain decomposition
- Model order reduction
- Nonlinear fracture mechanics
- Parametric time-dependent problems
- Proper orthogonal decomposition (POD)
- System approximation
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- General Physics and Astronomy
- Computer Science Applications