Lennard-Jones monolayers are shown by molecular dynamics simulation to
exhibit a self-healing behavior which involves a rapid condensation o
f vacancies into dislocation dipoles. An associated collapse of the sh
ear modulus similar to the Kosterlitz-Thouless dipole dissociation occ
urs for high vacancy concentrations. By contrast monolayers having nea
rest neighbor piecewise linear interactions are found to cavitate by a
gglomeration of vacancies into clusters.