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

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

    Research output: Contribution to journalArticlepeer-review

    104 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

    Keywords

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

    ASJC Scopus subject areas

    • Computational Mechanics
    • Mechanics of Materials
    • Mechanical Engineering
    • General Physics and Astronomy
    • Computer Science Applications

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