The theoretical model of an edge dislocation near interface collinear crack tips in nanocrystalline bi-materials with cooperative grain boundary sliding and migration is formulated. As a typical example, we focus on analyzing the effect of two disclination dipoles produced by cooperative grain boundary sliding and migration on an edge dislocation emitting from a finite interfacial crack tip in nanocrystalline bi-materials. The dislocation force and the critical stress intensity factors for an edge dislocation emitting from an interface collinear crack tip under remote plane loadings are derive...