Abstract Ion implantation in ferrimagnetic garnet epilayers containing bubbles suppresses hard bubbles and defines the propagation tracks for moving bubbles. It has been recognized that the existence of a strain/stress gradient in the vicinity of an implantation boundary is responsible for the formation of charged walls to which bubbles are attached. Two elastic models describing the stress/strain distribution around an implantation boundary are presented. They rely on densities of defects, infinitesimal dislocations and point defects in the continuum approximation, Assuming a ribbon geometry reduces the elastic problem to a plane-strain one. Very compact expressions can be deduced from the point-defect model if the half-space is restricted to a plane. The dislocation model indicates that most of the elastic strain/stress is due to the lateral thrust exerted by the implanted ribbon on the surrounding elastic medium.