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

P. Kerfriden, O. Goury, Timon Rabczuk, S. P A Bordas

Research output: Contribution to journalArticle

52 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)169-188
Number of pages20
JournalComputer Methods in Applied Mechanics and Engineering
Volume256
DOIs
Publication statusPublished - 2013 Apr 1
Externally publishedYes

Keywords

  • Domain decomposition
  • Model order reduction
  • Nonlinear fracture mechanics
  • Parametric time-dependent problems
  • Proper orthogonal decomposition (POD)
  • System approximation

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

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