A study on the quasi-continuum approximations of a one-dimensional fracture model

Xiantao Li, Pingbing Ming

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We study three quasi-continuum approximations of a lattice model for crack propagation. The influence of the approximation on the bifurcation patterns is investigated. The estimate of the modeling error is applicable to near and beyond bifurcation points, which enables us to evaluate the approximation over a finite range of loading and multiple mechanical equilibria.

Original languageEnglish (US)
Pages (from-to)1379-1400
Number of pages22
JournalMultiscale Modeling and Simulation
Volume12
Issue number3
DOIs
StatePublished - Jan 1 2014

Fingerprint

bifurcation
Crack propagation
Continuum
continuums
crack propagation
Approximation
approximation
Modeling Error
Crack Propagation
Bifurcation Point
Lattice Model
Bifurcation
Model
modeling
Evaluate
estimates
Estimate
Range of data

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Chemistry(all)
  • Computer Science Applications
  • Ecological Modeling
  • Physics and Astronomy(all)

Cite this

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abstract = "We study three quasi-continuum approximations of a lattice model for crack propagation. The influence of the approximation on the bifurcation patterns is investigated. The estimate of the modeling error is applicable to near and beyond bifurcation points, which enables us to evaluate the approximation over a finite range of loading and multiple mechanical equilibria.",
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A study on the quasi-continuum approximations of a one-dimensional fracture model. / Li, Xiantao; Ming, Pingbing.

In: Multiscale Modeling and Simulation, Vol. 12, No. 3, 01.01.2014, p. 1379-1400.

Research output: Contribution to journalArticle

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