Propagation of Slepyan's crack in a non-uniform elastic lattice

M. J. Nieves*, A. B. Movchan, I. S. Jones, G. S. Mishuris

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Citations (SciVal)
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Abstract

We model and derive the solution for the problem of a Mode I semi-infinite crack propagating in a discrete triangular lattice with bonds having a contrast in stiffness in the principal lattice directions. The corresponding Green's kernel is found and from this wave dispersion dependencies are obtained in explicit form. An equation of the Wiener-Hopf type is also derived and solved along the crack face, in order to compute the stress intensity factor for the semi-infinite crack. The crack stability is analysed via the evaluation of the energy release rate for different contrasts in stiffness of the bonds. (C) 2013 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)1464-1488
Number of pages25
JournalJournal of the Mechanics and Physics of Solids
Volume61
Issue number6
DOIs
Publication statusPublished - Jun 2013

Keywords

  • Inhomogeneous lattice
  • Semi-infinite crack
  • Wiener-Hopf technique
  • Energy release rate ratio
  • Stress intensity factor
  • DISSIPATIVE WAVES
  • PHASE-TRANSITION
  • CELL LATTICE
  • FRACTURE
  • INSTABILITY

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