### Citation:

Mishuris , G , Movchan , A B & Slepyan , L I 2008 , ' Dynamical extraction of a single chain from a discrete lattice ' Journal of the Mechanics and Physics of Solids , vol 56 , no. 2 , pp. 487-495 . DOI: 10.1016/j.jmps.2007.05.020

### Abstract:

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.

### Description:

Mishuris, G; Movchan, A; Slepyan, L. Dynamical extraction of a single chain from a discrete lattice. Journal of the Mechanics and Physics of Solids. 2008, 56(2), 487-495