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

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.


https://hal.archives-ouvertes.fr/hal-00696504
Contributor : Pierre Kerfriden <>
Submitted on : Friday, November 9, 2012 - 2:17:04 PM
Last modification on : Tuesday, March 10, 2015 - 7:45:06 PM

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  • HAL Id : hal-00696504, version 1
  • ARXIV : 1208.3940

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Pierre Kerfriden, Olivier Goury, Timon Rabczuk, Stephane Pierre-Alain Bordas. A partitioned model order reduction approach to rationalise computational expenses in multiscale fracture mechanics. Submitted for publication in CMAME. 2012. <hal-00696504>

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