A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics

Kerfriden, Pierre ORCID: https://orcid.org/0000-0002-7749-3996, Goury, Olivier, Rabczuk, Timon and Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002 2013. A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics. Computer Methods in Applied Mechanics and Engineering 256 , pp. 169-188. 10.1016/j.cma.2012.12.004

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Abstract

We propose in this paper an adaptive 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 \textit{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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering
Subjects:	T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords:	Model order reduction; Proper orthogonal decomposition (POD); Domain decomposition; Nonlinear fracture mechanics; System approximation; Parametric time-dependent problems
Publisher:	Elsevier
Funders:	EPSRC, European Research Council (ERC), EU FP7, Royal Academy of Engineering, Leverhulme Trust
Last Modified:	11 Mar 2023 02:13
URI:	https://orca.cardiff.ac.uk/id/eprint/44192

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