TY - JOUR
T1 - A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
AU - Kerfriden, P.
AU - Goury, O.
AU - Rabczuk, Timon
AU - Bordas, S. P A
PY - 2013/4/1
Y1 - 2013/4/1
N2 - 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.
AB - 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.
KW - Domain decomposition
KW - Model order reduction
KW - Nonlinear fracture mechanics
KW - Parametric time-dependent problems
KW - Proper orthogonal decomposition (POD)
KW - System approximation
UR - http://www.scopus.com/inward/record.url?scp=84873277820&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2012.12.004
DO - 10.1016/j.cma.2012.12.004
M3 - Article
AN - SCOPUS:84873277820
SN - 0045-7825
VL - 256
SP - 169
EP - 188
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -