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

Mao Kurumatani; Kenjiro Terada

doi:10.1002/nme.2545

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

Mao Kurumatani, Kenjiro Terada

Regional and Urban Reconstruction Research Division

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1-24
Number of pages	24
Journal	International Journal for Numerical Methods in Engineering
Volume	79
Issue number	1
DOIs	https://doi.org/10.1002/nme.2545
Publication status	Published - 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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