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We study mode-I fracture in lattices with noisy bonds. In contrast toprevious attempts, by using a small parameter that perturbs the force-lawbetween the atoms in perfect lattices and using a 3-body force law, simulationsreproduce the qualitative behavior of the beyond steady-state cracks in thehigh velocity regime, including reasonable micro-branching. As far as thephysical properties such as the structure factor $g(r)$, the radial or angulardistributions, these lattices share the physical properties of perfect latticesrather than that of an amorphous material (e.g., the continuous random networkmodel). A clear transition can be seen between steady-state cracks, where asingle crack propagates in the midline of the sample and the regime of unstablecracks, where micro-branches start to appear near the main crack, in line withprevious experimental results. This is seen both in a honeycomb lattice and afully hexagonal lattice. This model reproduces the main physical features ofpropagating cracks in brittle materials, including the behavior of velocity asa function of driving displacement and the increasing amplitude of oscillationsof the electrical resistance. In addition, preliminary indications of power-lawbehavior of the micro-branch shapes can be seen, potentially reproducing one ofthe most intriguing experimental results of brittle fracture.

Micro-branching in mode-I fracture in a randomly perturbed lattice