A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics

作者：Kerfriden P^*; Goury O; Rabczuk T; Bordas S P A

来源：Computer Methods in Applied Mechanics and Engineering, 2013, 256: 169-188.

DOI：10.1016/j.cma.2012.12.004

• Model order reduction
• Proper orthogonal decomposition (POD)
• Domain decomposition
• Nonlinear fracture mechanics
• System approximation
• Parametric time-dependent problems

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.

• 出版日期2013-4-1