This is one reason supersonic cracks in tension had been thought not to exist. Thus, while supersonic cracks are no less physical than subsonic cracks, the connection between microscopic and macroscopic behaviour must be made in a different way. Subsonic cracks are characterized by small-amplitude, high-frequency oscillations in the vertical displacement of an atom along the crack line, while supersonic cracks have large-amplitude, low-frequency oscillations. For supersonic cracks, the stress intensity factor disappears. Subsonic cracks feature displacement fields consistent with a stress intensity factor. Using our analytical methods, we examine in detail the motion of atoms around a crack tip as crack speed changes from subsonic to supersonic. ![]() Cracks that propagate faster than the Rayleigh wave speed have been thought to be forbidden in the continuum theory, but clearly exist in lattice systems. This allows quick numerical evaluation of solutions for very large systems, facilitating comparisons with continuum fracture theory. We present the full analytical solution for steady-state in-plane crack motion in a brittle triangular lattice.
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