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

42 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

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