title: A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics.
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. Noa prioriknowledge 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.
authors.affiliation: Cardiff University, School of Engineering Queen's Buildings, The Parade, Cardiff CF24 3AA, Wales, UK.
authors.forename: P
authors.initials: P
authors.lastname: Kerfriden
authors.forename: O
authors.initials: O
authors.lastname: Goury
authors.forename: T
authors.initials: T
authors.lastname: Rabczuk
authors.forename: S P A
authors.initials: SP
authors.lastname: Bordas
keywords: domain decomposition; model order reduction; nonlinear fracture mechanics; parametric time-dependent problems; proper orthogonal decomposition (POD); system approximation