Finite cover method with multi-cover layers for the analysis of evolving discontinuities in heterogeneous media

Mao Kurumatani, Kenjiro Terada

    Research output: Contribution to journalArticlepeer-review

    43 Citations (Scopus)

    Abstract

    We extend the finite cover method (FCM), which is known as a generalized finite element method, to crack simulations for quasi-brittle heterogeneous solids by using only a regular structured mathematical mesh. The proposed version of the FCM is powered by a method of modeling arbitrary numbers of physical cover layers. This 'multi-cover layer modeling' relies crucially on not only the introduction of multiple layers of physical covers, each of which is associated with a single physical domain, but also the identification of the values of level-set functions for discontinuities, which can be evaluated from their digital image information. Several numerical examples are presented to demonstrate the successful mesh-based mesh-free analyses of heterogeneous solids with arbitrarily evolving cracks and interfacial debonding thanks to the introduction of multiple cover layers.

    Original languageEnglish
    Pages (from-to)1-24
    Number of pages24
    JournalInternational Journal for Numerical Methods in Engineering
    Volume79
    Issue number1
    DOIs
    Publication statusPublished - 2009 Jul 2

    Keywords

    • Cover-layer
    • Crack propagation
    • Finite cover method
    • Heterogeneous media
    • Structured mesh

    ASJC Scopus subject areas

    • Engineering(all)
    • Applied Mathematics
    • Numerical Analysis

    Fingerprint

    Dive into the research topics of 'Finite cover method with multi-cover layers for the analysis of evolving discontinuities in heterogeneous media'. Together they form a unique fingerprint.

    Cite this