Reference : Local/global model order reduction strategy for the simulation of quasi-brittle fracture
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
Local/global model order reduction strategy for the simulation of quasi-brittle fracture
Kerfriden, P. [Université de Toulouse/INSA, Institut Clément Ader (ICA), 133 Avenue de Rangueil, Toulouse, F-31077, France]
Passieux, J. C. [Cardiff University, School of Engineering, Institute of Mechanics and Advanced Materials, Queen's Buildings, The Parade, Cardiff CF24 3AA Wales, United Kingdom]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
International Journal for Numerical Methods in Engineering
Yes (verified by ORBilu)
[en] Adaptive model order reduction (MOR) ; Local/global approach ; Newton/Krylov solver ; Nonlinear fracture mechanics ; Proper orthogonal decomposition (POD) ; Adaptive models ; Computer simulation ; Failure (mechanical) ; Fracture mechanics ; Principal component analysis ; Brittle fracture
[en] This paper proposes a novel technique to reduce the computational burden associated with the simulation of localized failure. The proposed methodology affords the simulation of damage initiation and propagation while concentrating the computational effort where it is most needed, that is, in the localization zones. To do so, a local/global technique is devised where the global (slave) problem (far from the zones undergoing severe damage and cracking) is solved for in a reduced space computed by the classical proper orthogonal decomposition while the local (master) degrees of freedom (associated with the part of the structure where most of the damage is taking place) are fully resolved. Both domains are coupled through a local/global technique. This method circumvents the difficulties associated with model order reduction for the simulation of highly nonlinear mechanical failure and offers an alternative or complementary approach to the development of multiscale fracture simulators. © 2011 John Wiley & Sons, Ltd.
Cardiff University School of Engineering, institute of Mechanics and Advanced Materials
Royal Academy of Engineering and Leverhulme Trust Senior Research Fellowship and EPSRC
Towards the next generation surgical simulators
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