From large-scale molecular-dynamics simulations of dynamic crack propagation, we find that cracks accelerate quickly to a relatively steady velocity. Energy released by bond breaking accumulates in a local phonon field that moves with the crack tip and promotes the emission of dislocations. Branching follows dislocation emission along a slip plane. The branching instability requires the crack to achieve a critical velocity, as well as an induction time for energy buildup at the crack tip.
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Zhou et al. (1996) studied this question.
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