Dynamical extraction of a single chain from a discrete lattice

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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
StatePublished - Feb 2008


FundersFunder number
Engineering and Physical Sciences Research CouncilEP/D079489/1
Sixth Framework ProgrammeMTKD-CT-2004-509809


    • Dissipation
    • Dynamic lattice fracture
    • Waves


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