In order to verify the effect of the ablation stage on the fast abrasion mechanism, detailed evaporative calculations have been performed on the primary projectile and target-like fragments issued from the reactions 4~ + aTA1 and 4~ + 27A1. The results account for many of the experimental features observed in the projectile and target-like fragments produced at intermediate energies. However it is pointed out that, in order to get a better agreement between theory and experimental data, the primary projectile and target-like fragments should carry a more substantial excitation energy than predicted by a purely geometric abrasion model. PACS: 25.70.Np