Local/Global model order reduction strategy for the simulation of localised failure

Kerfriden, Pierre ORCID: https://orcid.org/0000-0002-7749-3996, Passieux, J. C. and Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002 2012. Local/Global model order reduction strategy for the simulation of localised failure. International Journal for Numerical Methods in Engineering 89 (2) , pp. 154-179. 10.1002/nme.3234

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Abstract

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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	adaptive model order reduction (MOR); local/global approach; nonlinear fracture mechanics; proper orthogonal decomposition (POD); Newton/Krylov solver
Publisher:	Wiley-Blackwell
ISSN:	0029-5981
Last Modified:	11 Mar 2023 02:10
URI:	https://orca.cardiff.ac.uk/id/eprint/14888

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