Abstract: An abrasive member comprising an electrically conductive or non-conductive open, porous layer comprising a nonwoven fabric supporting a metal structure which carries an abrasive material. The porous layer, at a side thereof not containing abrasive material, may be provided with a backing layer having heat conductive properties. Further, the porous layer may consist of two or more layers stacked together, at least one of these layers being a nonwoven fabric. Such an abrasive member is excellently suitable for heavy duty dry-grinding operations, such as the grinding of granite. The abrasive metal structure can be applied onto and through the porous layer by an electroplating or electro-deposition process.