Physics – Condensed Matter – Materials Science
Scientific paper
2000-02-20
Physics
Condensed Matter
Materials Science
14 pages, 6 figures, RevTeX4, Replaced incorrect Fig. 1
Scientific paper
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.
Kessler David A.
Levine Herbert
Pechenik Leonid
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