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We consider crack propagation in a crystalline material in terms ofbifurcation analysis. We provide evidence that the stress intensity factor is anatural bifurcation parameter, and that the resulting bifurcation diagram is aperiodic "snaking curve". We then prove qualitative properties of theequilibria and convergence rates of finite-cell approximations to the "exact"bifurcation diagram.

Analysis of cell size effects in atomistic crack propagation