Steady-state mode III cracks in a viscoelastic lattice model
Materials Science
2007-05-23 v2
Abstract
We extend the Slepyan solution of the problem of a steady-state crack in an infinite ideally brittle lattice model to include dissipation in the form of Kelvin viscosity. As a demonstration of this technique, based on the Wiener-Hopf method, we apply the method to mode III cracks in a square lattice. We use this solution to find the critical velocity at which the steady-state solution becomes inconsistent due to additional bond-breaking; this point signaling the onset of complex dynamical behavior.
Keywords
Cite
@article{arxiv.cond-mat/0002313,
title = {Steady-state mode III cracks in a viscoelastic lattice model},
author = {Leonid Pechenik and Herbert Levine and David A. Kessler},
journal= {arXiv preprint arXiv:cond-mat/0002313},
year = {2007}
}
Comments
14 pages, 6 figures, RevTeX4, Replaced incorrect Fig. 1