An aqueous chemical mechanical polishing (CMP) agent (A) comprising solid particles (a1) containing (a11) a corrosion inhibitor for metals, and (a12) a solid material, the said solid particles (a1) being finely dispersed in the aqueous phase; and its use in a process for removing a bulk material layer from the surface of a substrate and planarizing the exposed surface by chemical mechanical polishing until all material residuals are removed from the exposed surface, wherein the CMP agent exhibits at the end of the chemical mechanical polishing, without the addition of supplementary materials, —the same or essentially the same static etch rate (SER) as at its start and a lower material removal rate (MRR) than at its start, —a lower SER than at its start and the same or essentially the same MRR as at its start or—a lower SER and a lower MRR than at its start; such that the CMP agent exhibits a soft landing behavior.