A meshless adaptive multiscale method for fracture

Shih Wei Yang, Pattabhi R. Budarapu, D. Roy Mahapatra, Stéphane P A Bordas, Goangseup Zi, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

69 Citations (Scopus)


The paper presents a multiscale method for crack propagation. The coarse region is modelled by the differential reproducing kernel particle method. Fracture in the coarse scale region is modelled with the Phantom node method. A molecular statics approach is employed in the fine scale where crack propagation is modelled naturally by breaking of bonds. The triangular lattice corresponds to the lattice structure of the (1 1 1) plane of an FCC crystal in the fine scale region. The Lennard-Jones potential is used to model the atom-atom interactions. The coupling between the coarse scale and fine scale is realized through ghost atoms. The ghost atom positions are interpolated from the coarse scale solution and enforced as boundary conditions on the fine scale. The fine scale region is adaptively refined and coarsened as the crack propagates. The centro symmetry parameter is used to detect the crack tip location. The method is implemented in two dimensions. The results are compared to pure atomistic simulations and show excellent agreement.

Original languageEnglish
Pages (from-to)382-395
Number of pages14
JournalComputational Materials Science
Issue numberPB
Publication statusPublished - 2015 Jan


  • Fracture
  • Meshless methods
  • Molecular dynamics
  • Multiscale

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mathematics
  • Physics and Astronomy(all)
  • Chemistry(all)
  • Materials Science(all)
  • Computer Science(all)


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