The present disclosure relates to lapping pads which include an abrading layer, wherein the abrading layer includes a working surface and a second surface opposite the working surface having a projected area Ap, and at least one cavity having a cavity opening located at the second surface, the at least one cavity being defined by at least one rib, each rib having a distal end at the second surface; and a phase transition material having a thermally reversible phase transition, wherein the phase transition material is disposed in the at least one cavity. The present disclosure further relates to a lapping system, the lapping system includes a lapping pad of the present disclosure and a working fluid; a method of making a lapping pad; and a method of lapping using a lapping pad of the present disclosure.