  A simple nonlocal field theory of peridynamic type is applied to model
brittle fracture. The fracture evolution is shown to converge in the limit of
vanishing nonlocality to classic plane elastodynamics with a running crack. The
kinetic relation for the crack is recovered directly from the nonlocal model in
the limit of vanishing nonlocality. We carry out our analysis for a single
crack in a plate subject to mode one loading. The convergence is corroborated
by numerical experiments.
