Dynamical extraction of a single chain from a discrete lattice

Gennady Mishuris, Alexander B. Movchan, Leonid I. Slepyan

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18 Citations (SciVal)


We consider a nontrivial anti-plane shear fracture problem for a double-crack configuration where the remote external load is applied to the extracted mass-spring chain and the displacement field is symmetric with respect to the central axis between the cracks. An analytical solution obtained for the steady-state problem describes the displacement fields, stresses, local and global energy release rates and the dissipation. The double-crack configuration differs considerably from the classical problem of fracture in a lattice: the load is applied to the extracted chain rather than the outer domain as in the classical fracture problems. In the corresponding Wiener-Hopf equation, this leads to a special type of kernel, which is not typical for fracture problems.
Original languageEnglish
Pages (from-to)487-495
Number of pages9
JournalJournal of the Mechanics and Physics of Solids
Issue number2
Early online date17 Jun 2007
Publication statusPublished - 01 Feb 2008


  • Dynamic lattice fracture
  • Waves
  • Dissipation


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