Title : A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics Language : English Author, co-author : Kerfriden, P. [Cardiff University, School of Engineering, Queen's Buildings, The Parade, Cardiff, CF24 3AA Wales, United Kingdom] Goury, O. [Cardiff University, School of Engineering, Queen's Buildings, The Parade, Cardiff, CF24 3AA Wales, United Kingdom] Rabczuk, T. [Institute of Structural Mechanics, Bauhaus-University, Weimar Marienstraße 15, 99423 Weimar, Germany] Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >] Publication date : 2013 Journal title : Computer Methods in Applied Mechanics and Engineering Volume : 256 Pages : 169-188 Peer reviewed : Yes (verified by ORBilu ) Audience : International ISSN : 0045-7825 Keywords : [en] Domain decomposition ; Model order reduction ; Nonlinear fracture mechanics ; Parametric time-dependent problems ; Proper orthogonal decomposition (POD) ; System approximation ; Domain decompositions ; Proper orthogonal decompositions ; Time-dependent problem ; Domain decomposition methods ; Fracture ; Principal component analysis ; Fracture mechanicsAbstract : [en] 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. © 2012 Elsevier B.V.Research centres : Cardiff University School of Engineering, institute of Mechanics and Advanced Materials Funders : ERC Starting Independent Research Name of the research project : RealTcut Target : Researchers ; Professionals ; Students Permalink : http://hdl.handle.net/10993/10206 DOI : 10.1016/j.cma.2012.12.004 Framework Programme / European Project : FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery 
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
