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Steady-state mode III cracks in a viscoelastic lattice model

Leonid Pechenik·Herbert Levine·David A. Kessler
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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.

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Leonid Pechenik, Herbert Levine, David A. Kessler. 2000-02-24. Steady-state mode III cracks in a viscoelastic lattice model. https://arxiv.org/abs/cond-mat/0002313

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